Week 1
Compressibility factor
Ratio of the experimentally measured molar volume for a gas to its molar volume as computed from the ideal gas equation
Excess reactant
Reactant present in an amount greater than required by the reaction stoichiometry
Neutralization reaction
Reaction between an acid and a base to produce salt and water
Oxidation reduction reaction
Reaction involving a change in oxidation number for one or more reactant elements
Oxidation number
The charge each atom of an element would have in a compound if the compound were ionic
Strong base
Base that reacts completely when dissolved in water to yield hydroxide ions
Dichromate
Cr2O7 -2
Chromate
CrO4 -2
Copper (I)
Cu+
Determine the percent ammonia, NH3, in Co(NH3)6Cl3, to three significant figures.
% NH3 = 38.2%
Calculate the following to four significant figures: (a) the percent composition of ammonia, NH3 (b) the percent composition of photographic fixer solution ("hypo"), Na2S2O3 (c) the percent of calcium ion in Ca3(PO4)2
(a) % N = 82.24%, % H = 17.76%; (b) % Na = 29.08%, % S = 40.56%, % O = 30.36%; (c) % Ca2+ = 38.76%
Silver
Ag+
Aluminum
Al+3
Fluoride
F-
Sulfide
S -2
Zinc
Zn+2
What is the molarity of the diluted solution when each of the following solutions is diluted to the given final volume? (a) 1.00 L of a 0.250-Msolution of Fe(NO3)3 is diluted to a final volume of 2.00 L (b) 0.5000 L of a 0.1222-Msolution of C3H7OH is diluted to a final volume of 1.250 L (c) 2.35 L of a 0.350-Msolution of H3PO4 is diluted to a final volume of 4.00 L (d) 22.50 mL of a 0.025-Msolution of C12H22O11 is diluted to 100.0 mL
(a) 0.125M; (b) 0.04888M; (c) 0.206M; (d) 0.0056M
Round off each of the following numbers to two significant figures: (a) 0.436 (b) 9.000 (c) 27.2 (d) 135 (e) 1.497 × 10^−3 (f) 0.445
(a) 0.44; (b) 9.0; (c) 27; (d) 140; (e) 1.5 × 10−3; (f) 0.44
Determine the molarity for each of the following solutions: (a) 0.444 mol of CoCl2 in 0.654 L of solution (b) 98.0 g of phosphoric acid, H3PO4, in 1.00 L of solution (c) 0.2074 g of calcium hydroxide, Ca(OH)2, in 40.00 mL of solution (d) 10.5 kg of Na2SO4·10H2O in 18.60 L of solution (e) 7.0 × 10−3 mol of I2 in 100.0 mL of solution (f) 1.8 × 104 mg of HCl in 0.075 L of solution
(a) 0.679M; (b) 1.00M; (c) 0.06998M; (d) 1.75M; (e) 0.070M; (f) 6.6
Determine the mass of each of the following: (a) 0.0146 mol KOH (b) 10.2 mol ethane, C2H6 (c) 1.6 × 10^−3 mol Na2 SO4 (d) 6.854 × 10^3 mol glucose, C6 H12 O6 (e) 2.86 mol Co(NH3)6Cl3
(a) 0.819 g; (b) 307 g; (c) 0.23 g; (d) 1.235 × 10^6 g (1235 kg); (e) 765 g
Write conversion factors (as ratios) for the number of: (a) yards in 1 meter (b) liters in 1 liquid quart (c) pounds in 1 kilogram
(a) 1.0936 yd / 1 m ; (b) 0.94635 L / 1 qt ; (c) 2.2046 lb / 1 kg
Use scientific (exponential) notation to express the following quantities in terms of the SI base units in Table 1.3: (a) 0.13 g (b) 232 Gg (c) 5.23 pm (d) 86.3 mg (e) 37.6 cm (f) 54 μm (g) 1 Ts (h) 27 ps (i) 0.15 mK
(a) 1.3 × 10^−4 kg; (b) 2.32 × 10^8 kg; (c) 5.23 × 10^−12 m; (d) 8.63 × 10^−5 kg; (e) 3.76 × 10^−1 m; (f) 5.4 × 10^−5 m; (g) 1 × 10^12 s; (h) 2.7 × 10^−11 s; (i) 1.5 × 10^−4 K
The effect of chlorofluorocarbons (such as CCl2F2) on the depletion of the ozone layer is well known. The use of substitutes, such as CH3CH2F(g), for the chlorofluorocarbons, has largely corrected the problem. Calculate the volume occupied by 10.0 g of each of these compounds at STP: (a) CCl2F2(g) (b) CH3CH2F(g)
(a) 1.85 L CCl2F2; (b) 4.66 L CH3CH2F
Consider this scenario and answer the following questions: On a mid-August day in the northeastern United States, the following information appeared in the local newspaper: atmospheric pressure at sea level 29.97 in. Hg, 1013.9 mbar. (a) What was the pressure in kPa? (b) The pressure near the seacoast in the northeastern United States is usually reported near 30.0 in. Hg. During a hurricane, the pressure may fall to near 28.0 in. Hg. Calculate the drop in pressure in torr.
(a) 101.5 kPa; (b) 51 torr drop
Write a symbol for each of the following neutral isotopes. Include the atomic number and mass number for each. (a) the alkali metal with 11 protons and a mass number of 23 (b) the noble gas element with 75 neutrons in its nucleus and 54 electrons in the neutral atom (c) the isotope with 33 protons and 40 neutrons in its nucleus (d) the alkaline earth metal with 88 electrons and 138 neutrons
(a) 1123Na; (b) 54129Xe; (c) 3373As; (d) 88226Ra
What is the total mass (amu) of carbon in each of the following molecules? (a) CH4 (b) CHCl3 (c) C12H10O6 (d) CH3CH2CH2CH2CH3
(a) 12.01 amu; (b) 12.01 amu; (c) 144.12 amu; (d) 60.05 amu
Calculate the molecular or formula mass of each of the following: (a) P4 (b) H2O (c) Ca(NO3)2 (d) CH3CO2H (acetic acid) (e) C12H22O11 (sucrose, cane sugar)
(a) 123.896 amu; (b) 18.015 amu; (c) 164.086 amu; (d) 60.052 amu; (e) 342.297 amu
Write the symbol for each of the following ions: (a) the ion with a 1+ charge, atomic number 55, and mass number 133 (b) the ion with 54 electrons, 53 protons, and 74 neutrons (c) the ion with atomic number 15, mass number 31, and a 3− charge (d) the ion with 24 electrons, 30 neutrons, and a 3+ charge
(a) 133Cs+; (b) 127I−; (c) 31P3−; (d) 57Co3
Consider the following questions: (a) What is the total volume of the CO2(g) and H2O(g) at 600 °C and 0.888 atm produced by the combustion of 1.00 L of C2H6(g) measured at STP? (b) What is the partial pressure of H2O in the product gases?
(a) 18.0 L; (b) 0.533 atm
Calculate the molar mass of each of the following: (a) the anesthetic halothane, C2HBrClF3 (b) the herbicide paraquat, C12H14N2Cl2 (c) caffeine, C8H10N4O2 (d) urea, CO(NH2)2 (e) a typical soap, C17H35CO2Na
(a) 197.382 g mol^−1; (b) 257.163 g mol^−1; (c) 194.193 g mol^−1; (d) 60.056 g mol^−1; (e) 306.464 g mol^−1
Perform the following calculations and report each answer with the correct number of significant figures. (a) 628 × 342 (b) (5.63 × 10^2) × (7.4 × 10^3) (c) 28.0 / 13.483 (d) 8119 × 0.000023 (e) 14.98 + 27,340 + 84.7593 (f) 42.7 + 0.259
(a) 2.15 × 105; (b) 4.2 × 106; (c) 2.08; (d) 0.19; (e) 27,440; (f) 43.0
Yeast converts glucose to ethanol and carbon dioxide during anaerobic fermentation as depicted in the simple chemical equation here: glucose ⟶ ethanol + carbon dioxide (a) If 200.0 g of glucose is fully converted, what will be the total mass of ethanol and carbon dioxide produced? (b) If the fermentation is carried out in an open container, would you expect the mass of the container and contents after fermentation to be less than, greater than, or the same as the mass of the container and contents before fermentation? Explain. (c) If 97.7 g of carbon dioxide is produced, what mass of ethanol is produced?
(a) 200.0 g; (b) The mass of the container and contents would decrease as carbon dioxide is a gaseous product and would leave the container. (c) 102.3 g
Calculate the molar mass of each of the following: (a) S8 (b) C5H12 (c) Sc2(SO4)3 (d) CH3COCH3 (acetone) (e) C6H12O6 (glucose)
(a) 256.528 g/mol; (b) 72.150 g mol^−1; (c) 378.103 g mol^−1; (d) 58.080 g mol^−1; (e) 180.158 g mol^−1
The pressure of a sample of gas is measured at sea level with a closed-end manometer. The liquid in the manometer is mercury. Determine the pressure of the gas in: (a) torr (b) Pa (c) bar
(a) 264 torr; (b) 35,200 Pa; (c) 0.352 bar
Complete and balance the following oxidation-reduction reactions, which give the highest possible oxidation state for the oxidized atoms. (a) Al(s)+F2(g) ⟶ (b) Al(s)+CuBr2(aq) ⟶ (single displacement) (c) P4(s)+O2(g) ⟶ (d) Ca(s)+H2O(l) ⟶ (products are a strong base and a diatomic gas)
(a) 2Al(s)+3F2(g) ⟶ 2AlF3(s); (b) 2Al(s)+3CuBr2(aq) ⟶ 3Cu(s)+2AlBr3(aq); (c) P4(s)+5O2(g) ⟶ P4O10(s); (d) Ca(s)+2H2O(l) ⟶ Ca(OH)2(aq)+H2(g)
Complete and balance the following acid-base equations: (a) HCl gas reacts with solid Ca(OH)2(s). (b) A solution of Sr(OH)2 is added to a solution of HNO3.
(a) 2HCl(g)+Ca(OH)2(s) ⟶ CaCl2(s)+2H2O(l); (b) Sr(OH)2(aq)+2HNO3(aq) ⟶ Sr(NO3)2(aq)+2H2O(l)
From the balanced molecular equations, write the complete ionic and net ionic equations for the following: (a) K2C2O4(aq)+Ba(OH)2(aq) ⟶ 2KOH(aq)+BaC2O4(s) (b) Pb(NO3)2(aq)+H2SO4(aq) ⟶ PbSO4(s)+2HNO3(aq) (c) CaCO3(s)+H2SO4(aq) ⟶ CaSO4(s)+CO2(g)+H2O(l)
(a) 2K+(aq)+C2O42−(aq)+Ba2+(aq)+2OH−(aq) ⟶ 2K+(aq)+2OH−(aq)+BaC2O4(s) (complete) Ba2+(aq)+C2O42−(aq) ⟶ BaC2O4(s) (net) (b) Pb2+(aq)+2NO3−(aq)+2H+(aq)+SO42−(aq) ⟶ PbSO4(s)+2H+(aq)+2NO3−(aq) (complete) Pb2+(aq)+SO42−(aq) ⟶ PbSO4(s) (net) (c) CaCO3(s)+2H+(aq)+SO42−(aq) ⟶ CaSO4(s)+CO2(g)+H2O(l) (complete) CaCO3(s)+2H+(aq)+SO42−(aq) ⟶ CaSO4(s)+CO2(g)+H2O(l) (net)
Give the number of protons, electrons, and neutrons in neutral atoms of each of the following isotopes: (a) 73Li (b) 12552Te (c) 10947Ag (d) 157N (e) 3115P
(a) 3 protons, 3 electrons, 4 neutrons; (b) 52 protons, 52 electrons, 73 neutrons; (c) 47 protons, 47 electrons, 62 neutrons; (d) 7 protons, 7 electrons, 8 neutrons; (e) 15 protons, 15 electrons, 16 neutrons
Solve these problems about lumber dimensions. (a) To describe to a European how houses are constructed in the US, the dimensions of "two-by-four" lumber must be converted into metric units. The thickness × width × length dimensions are 1.50 in. × 3.50 in. × 8.00 ft in the US. What are the dimensions in cm × cm × m? (b) This lumber can be used as vertical studs, which are typically placed 16.0 in. apart. What is that distance in centimeters?
(a) 3.81 cm × 8.89 cm × 2.44 m; (b) 40.6 cm
Calculate the number of moles and the mass of the solute in each of the following solutions: (a) 2.00 L of 18.5MH2SO4, concentrated sulfuric acid (b) 100.0 mL of 3.8 × 10^−5 MNaCN, the minimum lethal concentration of sodium cyanide in blood serum (c) 5.50 L of 13.3MH2CO, the formaldehyde used to "fix" tissue samples (d) 325 mL of 1.8 × 10^−6 MFeSO4, the minimum concentration of iron sulfate detectable by taste in drinking water
(a) 37.0 mol H2SO4, 3.63 × 10^3 g H2SO4; (b) 3.8 × 10^−6 mol NaCN, 1.9 × 10^−4 g NaCN; (c) 73.2 mol H2CO, 2.20 kg H2CO; (d) 5.9 × 10^−7 mol FeSO4, 8.9 × 10^−5 g FeSO4
Make the conversion indicated in each of the following: (a) the length of a soccer field, 120 m (three significant figures), to feet (b) the height of Mt. Kilimanjaro, at 19,565 ft, the highest mountain in Africa, to kilometers (c) the area of an 8.5- × 11-inch sheet of paper in cm^2 (d) the displacement volume of an automobile engine, 161 in.^3, to liters (e) the estimated mass of the atmosphere, 5.6 × 10^15 tons, to kilograms (f) the mass of a bushel of rye, 32.0 lb, to kilograms (g) the mass of a 5.00-grain aspirin tablet to milligrams (1 grain = 0.00229 oz)
(a) 394 ft; (b) 5.9634 km; (c) 6.0 × 102; (d) 2.64 L; (e) 5.1 × 1018 kg; (f) 14.5 kg; (g) 324 mg
Calculate the molarity of each of the following solutions: (a) 0.195 g of cholesterol, C27H46O, in 0.100 L of serum, the average concentration of cholesterol in human serum (b) 4.25 g of NH3 in 0.500 L of solution, the concentration of NH3 in household ammonia (c) 1.49 kg of isopropyl alcohol, C3H7OH, in 2.50 L of solution, the concentration of isopropyl alcohol in rubbing alcohol
(a) 5.04 × 10^−3 M; (b) 0.499M; (c) 9.92M; (d) 1.1 × 10^−3 (d) 0.029 g of I2 in 0.100 L of solution, the solubility of I2 in water at 20 °C
Calculate these volumes. What is the volume of 25 g iodine, density = 4.93 g/cm^3? What is the volume of 3.28 g gaseous hydrogen, density = 0.089 g/L?
(a) 5.1 mL; (b) 37 L
Silver is often extracted from ores such as K[Ag(CN)2] and then recovered by the reaction 2K|Ag(CN)2|(aq)+Zn(s) ⟶ 2Ag(s)+Zn(CN)2(aq)+2KCN(aq) (a) How many molecules of Zn(CN)2 are produced by the reaction of 35.27 g of K[Ag(CN)2]? (b) What mass of Zn(CN)2 is produced?
(a) 5.337 × 1022 molecules; (b) 10.41 g Zn(CN)2
Determine the molecular mass of the following compounds:
(a) 56.107 amu; (b) 54.091 amu; (c) 199.9976 amu; (d) 97.9950 amu
The pressure of a sample of gas is measured at sea level with an open-end mercury manometer. Assuming atmospheric pressure is 760.0 mm Hg, determine the pressure of the gas in: (a) mm Hg (b) atm (c) kPa
(a) 623 mm Hg; (b) 0.820 atm; (c) 83.1 kP
How many grams of gas are present in each of the following cases? (a) 0.100 L of CO2 at 307 torr and 26 °C (b) 8.75 L of C2H4, at 378.3 kPa and 483 K (c) 221 mL of Ar at 0.23 torr and -54 °C
(a) 7.24 × 10-2 g; (b) 23.1 g; (c) 1.5 × 10-4 g
Calculate these masses. (a) What is the mass of 6.00 cm^3 of mercury, density = 13.5939 g/cm^3? (b) What is the mass of 25.0 mL octane, density = 0.702 g/cm^3?
(a) 81.6 g; (b) 17.6 g
Determine the mass in grams of each of the following: (a) 0.600 mol of oxygen atoms (b) 0.600 mol of oxygen molecules, O2 (c) 0.600 mol of ozone molecules, O3
(a) 9.60 g; (b) 19.2 g; (c) 28.8 g
Determine the mass of each of the following: (a) 2.345 mol LiCl (b) 0.0872 mol acetylene, C2H2 (c) 3.3 × 10^−2 mol Na2 CO3 (d) 1.23 × 10^3 mol fructose, C6 H12 O6 (e) 0.5758 mol FeSO4(H2O)7
(a) 99.41 g; (b) 2.27 g; (c) 3.5 g; (d) 222 kg; (e) 160.1 g
When elemental iron corrodes it combines with oxygen in the air to ultimately form red brown iron(III) oxide called rust. (a) If a shiny iron nail with an initial mass of 23.2 g is weighed after being coated in a layer of rust, would you expect the mass to have increased, decreased, or remained the same? Explain. (b) If the mass of the iron nail increases to 24.1 g, what mass of oxygen combined with the iron?
(a) Increased as it would have combined with oxygen in the air thus increasing the amount of matter and therefore the mass. (b) 0.9 g
The following are properties of isotopes of two elements that are essential in our diet. Determine the number of protons, neutrons and electrons in each and name them. (a) atomic number 26, mass number 58, charge of 2+ (b) atomic number 53, mass number 127, charge of 1−
(a) Iron, 26 protons, 24 electrons, and 32 neutrons; (b) iodine, 53 protons, 54 electrons, and 74 neutrons
The following ionic compounds are found in common household products. Write the formulas for each compound: (a) potassium phosphate (b) copper(II) sulfate (c) calcium chloride (d) titanium(IV) oxide (e) ammonium nitrate (f) sodium bisulfate (the common name for sodium hydrogen sulfate)
(a) K3PO4; (b) CuSO4; (c) CaCl2; (d) TiO2; (e) NH4NO3; (f) NaHSO4
Using the periodic table, identify the lightest member of each of the following groups: (a) noble gases (b) alkaline earth metals (c) alkali metals (d) chalcogens
(a) He; (b) Be; (c) Li; (d) O
Complete and balance the equations for the following acid-base neutralization reactions. If water is used as a solvent, write the reactants and products as aqueous ions. In some cases, there may be more than one correct answer, depending on the amounts of reactants used. (a) Mg(OH)2(s)+HClO4(aq) ⟶ (b) SO3(g)+H2O(l) ⟶ (assume an excess of water and that the product dissolves) (c) SrO(s)+H2SO4(l) ⟶
(a) Mg(OH)2(s)+2HClO4(aq) ⟶ Mg2+(aq)+2ClO4−(aq)+2H2O(l); (b) SO3(g)+2H2O(l) ⟶ H3O+(aq)+HSO4−(aq), (a solution of H2SO4); (c) SrO(s)+H2SO4(l) ⟶ SrSO4(s)+H2O
Classify each of the following as an element, a compound, or a mixture: (a) iron (b) oxygen (c) mercury oxide (d) pancake syrup (e) carbon dioxide (f) a substance composed of molecules each of which contains one hydrogen atom and one chlorine atom (g) baking soda (h) baking powder
(a) element; (b) element; (c) compound; (d) mixture; (e) compound; (f) compound; (g) compound; (h) mixture
Gallium chloride is formed by the reaction of 2.6 L of a 1.44 M solution of HCl according to the following equation: 2Ga+6HCl ⟶ 2GaCl3+3H2. (a) Outline the steps necessary to determine the number of moles and mass of gallium chloride. (b) Perform the calculations outlined.
(a) volume HCl solution ⟶ mol HCl ⟶ mol GaCl3; (b) 1.25 mol GaCl3, 2.2 × 10^2 g GaCl3
A balloon with a volume of 100.21 L at 21 °C and 0.981 atm is released and just barely clears the top of Mount Crumpet in British Columbia. If the final volume of the balloon is 144.53 L at a temperature of 5.24 °C, what is the pressure experienced by the balloon as it clears Mount Crumpet?
0.644 atm
A typical barometric pressure in Denver, Colorado, is 615 mm Hg. What is this pressure in atmospheres and kilopascals?
0.809 atm; 82.0 kPa
A certain nut crunch cereal contains 11.0 grams of sugar (sucrose, C12H22O11) per serving size of 60.0 grams. How many servings of this cereal must be eaten to consume 0.0278 moles of sugar?
0.865 servings, or about 1 serving.
Canadian tire pressure gauges are marked in units of kilopascals. What reading on such a gauge corresponds to 32 psi?
2.2 × 102 kPa
Copper(I) iodide (CuI) is often added to table salt as a dietary source of iodine. How many moles of CuI are contained in 1.00 lb (454 g) of table salt containing 0.0100% CuI by mass?
2.38 × 10−4 mol
Which of the following represents the least number of molecules? (a) 20.0 g of H2O (18.02 g/mol) (b) 77.0 g of CH4 (16.06 g/mol) (c) 68.0 g of CaH2 (42.09 g/mol) (d) 100.0 g of N2O (44.02 g/mol) (e) 84.0 g of HF (20.01 g/mol)
20.0 g H2O represents the least number of molecules since it has the least number of moles.
A weather balloon contains 8.80 moles of helium at a pressure of 0.992 atm and a temperature of 25 °C at ground level. What is the volume of the balloon under these conditions?
217 L
A sample of gallium bromide, GaBr3, weighing 0.165 g was dissolved in water and treated with silver nitrate, AgNO3, resulting in the precipitation of 0.299 g AgBr. Use these data to compute the %Ga (by mass) GaBr3.
22.4%
Standard conditions of temperature and pressure (STP)
273.15 K and 1 atm
Lithium hydroxide may be used to absorb carbon dioxide in enclosed environments, such as manned spacecraft and submarines. Write an equation for the reaction that involves 2 mol of LiOH per 1 mol of CO2. (Hint: Water is one of the products.)
2LiOH(aq)+CO2(g) ⟶ Li2CO3(aq)+H2O(l)
Great Lakes Chemical Company produces bromine, Br2, from bromide salts such as NaBr, in Arkansas brine by treating the brine with chlorine gas. Write a balanced equation for the reaction of NaBr with Cl2.
2NaBr(aq)+Cl2(g) ⟶ 2NaCl(aq)+Br2(l)
The Cullinan diamond was the largest natural diamond ever found (January 25, 1905). It weighed 3104 carats (1 carat = 200 mg). How many carbon atoms were present in the stone?
3.113 × 10^25 C atoms
Titration of a 20.0-mL sample of acid rain required 1.7 mL of 0.0811MNaOH to reach the end point. If we assume that the acidity of the rain is due to the presence of sulfuric acid, what was the concentration of sulfuric acid in this sample of rain?
3.4 × 10^−3 MH2SO4
A spray can is used until it is empty except for the propellant gas, which has a pressure of 1344 torr at 23 °C. If the can is thrown into a fire (T = 475 °C), what will be the pressure in the hot can?
3.40 × 103 torr
How many milliliters of a 0.1500-Msolution of KOH will be required to titrate 40.00 mL of a 0.0656-M solution of H3PO4? H3PO4(aq)+2KOH(aq) ⟶ K2HPO4(aq)+2H2O(l)
34.99 mL KOH
How many milliliters of a soft drink are contained in a 12.0-oz can?
355 mL
Gasoline is sold by the liter in many countries. How many liters are required to fill a 12.0-gal gas tank?
45.4 L
A 20.0-L cylinder containing 11.34 kg of butane, C4H10, was opened to the atmosphere. Calculate the mass of the gas remaining in the cylinder if it were opened and the gas escaped until the pressure in the cylinder was equal to the atmospheric pressure, 0.983 atm, and a temperature of 27 °C.
46.4 g
What volume of 0.600MHCl is required to react completely with 2.50 g of sodium hydrogen carbonate? NaHCO3(aq)+HCl(aq) ⟶ NaCl(aq)+CO2(g)+H2O(l)
49.6 mL
A chemistry student is 159 cm tall and weighs 45.8 kg. What is her height in inches and weight in pounds?
62.6 in (about 5 ft 3 in.) and 101 lb
Soccer is played with a round ball having a circumference between 27 and 28 in. and a weight between 14 and 16 oz. What are these specifications in units of centimeters and grams?
68-71 cm; 400-450 g
What is the molar mass of a gas if 0.281 g of the gas occupies a volume of 125 mL at a temperature 126 °C and a pressure of 777 torr?
72.0 g mol^−1
A sample of carbon monoxide was collected over water at a total pressure of 756 torr and a temperature of 18 °C. What is the pressure of the carbon monoxide? (See Table 9.2for the vapor pressure of water.)
740 torr
Average atomic masses listed by IUPAC are based on a study of experimental results. Bromine has two isotopes, 79Br and 81Br, whose masses (78.9183 and 80.9163 amu, respectively) and abundances (50.69% and 49.31%, respectively) were determined in earlier experiments. Calculate the average atomic mass of bromine based on these experiments.
79.90 amu
The diameter of a red blood cell is about 3 × 10^−4 in. What is its diameter in centimeters?
8 × 10−4 cm
How many moles of gaseous boron trifluoride, BF3, are contained in a 4.3410-L bulb at 788.0 K if the pressure is 1.220 atm? How many grams of BF3?
8.190 × 10-2 mol; 5.553 g
The density of a certain gaseous fluoride of phosphorus is 3.93 g/L at STP. Calculate the molar mass of this fluoride and determine its molecular formula.
88.1 g mol−1; PF3
In a common medical laboratory determination of the concentration of free chloride ion in blood serum, a serum sample is titrated with a Hg(NO3)2 solution. 2Cl−(aq)+Hg(NO3)2(aq) ⟶ 2NO3−(aq)+HgCl2(s) What is the Cl− concentration in a 0.25-mL sample of normal serum that requires 1.46 mL of 8.25 × 10−4 M Hg(NO3)2(aq) to reach the end point?
9.6 × 10−3 MCl−
In Canada and the United Kingdom, devices that measure blood glucose levels provide a reading in millimoles per liter. If a measurement of 5.3 mMis observed, what is the concentration of glucose (C6H12O6) in mg/dL?
95 mg/dL
The density (d) of a substance is an intensive property that is defined as the ratio of its mass (m) to its volume (V). density = mass/volume, d = m/V. Considering that mass and volume are both extensive properties, explain why their ratio, density, is intensive.
Being extensive properties, both mass and volume are directly proportional to the amount of substance under study. Dividing one extensive property by another will in effect "cancel" this dependence on amount, yielding a ratio that is independent of amount (an intensive property).
Phosphate
PO4 -3
What is Boyle's law
PV = constant at constant T and n; If the gas volume is decreased, the container wall area decreases and the molecule wall collision frequency increases, both of which increases the pressure exerted by the gas
Lead (II)
Pb+2
Lead (IV)
Pb+4
How do you calculate percent by mass
Percent by mass = (mass of solute / mass of solution) * 100
How do you calculate percent yield?
Percent yield = (actual yield / theoretical yield) * 100
A student isolated 25 g of a compound following a procedure that would theoretically yield 81 g. What was his percent yield?
Percent yield=31%
Percent composition
Percentage by mass of the various elements in a compound
Explain how you could experimentally determine whether the outside temperature is higher or lower than 0 °C (32 °F) without using a thermometer.
Place a glass of water outside. It will freeze if the temperature is below 0 °C.
Oxyanion
Polyatomic anion composed of a central atom bonded to oxygen atoms
Cation
Positively charged atom or molecule (contains fewer electrons than protons)
Alpha particle
Positively charged particle consisting of two protons and two neutrons
Proton
Positively charged, subatomic particle located in the nucleus; relatively heavy particles with a charge of 1+ and a mass of 1.0073 amu
Three categories of important reactions
Precipitation; Acid base; Oxidation reduction (redox)
Hydrostatic pressure
Pressure exerted by a fluid due to gravity
Partial pressure
Pressure exerted by an individual gas in a mixture
Vapor pressure of water
Pressure exerted by water vapor in equilibrium with liquid water in a closed container at a specific temperature
Amontons's Law
Pressure of a given number of moles of gas is directly proportional to its kelvin temperature when the volume is held constant; The pressure of a given amount of gas is directly proportional to its absolute temperature, provided that the volume does not change
Rounding
Procedure used to ensure that calculated results properly reflect the uncertainty in the measurements used in the calculation
Oxidation
Process in which an element's oxidation number is increased by loss of electrons
Dilution
Process of adding solvent to a solution in order to lower the concentration of solutes
Chemical change
Produce one or more types of matter that differ from the present before the change
Periodic law
Properties of the elements are periodic function of their atomic numbers
What does a nucleus contain?
Protons and neutrons
Compounds
Pure substances that can be broken down by chemical changes
Elements
Pure substances that cannot be broken down into simpler substances by chemical changes
Concentrated
Qualitative term for a solution containing solute at a relatively high concentration
Dilute
Qualitative term for a solution containing solute at a relatively low concentration
Titration analysis
Quantitative chemical analysis method involves measuring the volume of a reactant solution required to completely react with the analyte in a sample
Gravimetric analysis
Quantitative chemical analysis method involving the separation of an analyte from a sample by a physical or chemical process and subsequent mass measurements of the analyte, reaction product, and/or sample
Concentration
Quantitative measure of the relative amounts of solute and solvent present in a solution
Graham's law of effusion
Rates of diffusion and effusion of gases are inversely proportional to the square roots of their molecular masses; Rates of effusion of gases are inversely proportional to the square roots of their densities or to the square roots of their atoms/molecules masses
Parts per billion (ppb)
Ratio of Solute to solution mass multiplied by 109
Stoichiometric factor
Ratio of coefficients in a balanced chemical equation, used in computations relating amounts of reactants and products
Unit conversion factor
Ratio of equivalent quantities expressed with different units; Used to convert from one unit to a different unit
Density
Ratio of mass to volume for a substance or object
Mass volume percent
Ratio of solute mass to solution volume, expressed as a percentage
Mass percentage
Ratio of solute to solution mass expressed as a percentage
Parts per million (ppm)
Ratio of solute to solution mass multiplied by 106
Volume percentage
Ratio of solute to solution volume expressed as a percentage
Rubidium
Rb+
Limiting reactant
Reactant present in an amount lower than required by the reaction stoichiometry, thus limiting the amount of product generated
Acid base reaction
Reaction involving the transfer of a hydrogen ion between reactant species
Precipitation reaction
Reaction that produces one or more insoluble products; When reactants are ionic compounds, sometimes called double displacement or metathesis
Single displacement reaction
Redox reaction involving the oxidation of an elemental substance by an ionic species
Ideal gas law
Relation between the pressure, volume, amount, and temperature of a gas under conditions derived by combination of the simple gas laws; PV = nRT
Stoichiometry
Relationships between the amounts of reactants and products of a chemical reaction
Solid
Rigid and possess a definite shape
Thiosulfate
S2O3 -2
Thiocyanate
SCN -
For which of the following gases should the correction for the molecular volume be largest: CO, CO2, H2, He, NH3, SF6
SF6
Pascal (Pa)
SI unit of pressure; 1 Pa = 1 N/m2
Kelvin
SI unit of temperature; 273.15 K = 0°C
Second
SI unit of time
Cubic meter
SI unit of volume
Sulfate
SO4 -2
Sulfite
SO4 -2
Factor label method
Same thing as a dimensional analysis
Selenide
Se -2
Dalton's atomic theory
Set of postulates that established the fundamental properties of atoms
Structural formula
Shows the atoms in a molecule and how they are connected
Carborundum is silicon carbide, SiC, a very hard material used as an abrasive on sandpaper and in other applications. It is prepared by the reaction of pure sand, SiO2, with carbon at high temperature. Carbon monoxide, CO, is the other product of this reaction. Write the balanced equation for the reaction, and calculate how much SiO2 is required to produce 3.00 kg of SiC.
SiO2+3C ⟶ SiC+2CO, 4.50 kg SiO2
Microscopic domain
Smaller, only really observable through microscopes or more powerful instruments
Atom
Smallest particle of an element that has the properties of that element and can enter into a chemical combination
Tin (II)
Sn+2
Tin (IV)
Sn+4
What did Soddy demonstrate?
Soddy demonstrated that atoms of the same element can differ in mass
Solute
Solution component present in a concentration less than that of the solvent
Solvent
Solution component present in a concentration that is higher relative to other components
Titrant
Solution containing a known concentration of substance that will react with the analyte in a titration analysis
Aqueous solution
Solution for which water is the solvent
Periodic table
Table of the elements that places elements with similar chemical properties close together
Gas
Takes both the shape and volume of its container
Absolute zero
Temperature at which the volume of a gas would be zero according to Charles's law
Outline the steps needed to determine the limiting reactant when 0.50 mol of Cr and 0.75 mol of H3PO4 react according to the following chemical equation. 2Cr+2H3PO4 ⟶ 2CrPO4+3H2 Determine the limiting reactant.
The conversion needed is mol Cr ⟶ molH3PO4. Then compare the amount of Cr to the amount of acid present. Cr is the limiting reactant.
Why are sharp knives more effective than dull knives? (Hint: Think about the definition of pressure.)
The cutting edge of a knife that has been sharpened has a smaller surface area than a dull knife. Since pressure is force per unit area, a sharp knife will exert a higher pressure with the same amount of force and cut through material more effectively.
Quantitative analysis
The determination of the amount or concentration of a substance in a sample
Guidelines for assigning oxidation numbers to each element in a molecule or ion
The oxidation number of an atom in an elemental substance is zero; The oxidation number of a monatomic ion is equal to the ion's charge; The sum of oxidation numbers for all atoms in a molecule or polyatomic ion equals the charge on the molecule or ion
If the volume of a fixed amount of a gas is tripled at constant temperature, what happens to the pressure?
The pressure decreases by a factor of 3.
How are the molecular mass and the molar mass of a compound similar and how are they different?
The two masses have the same numerical value, but the units are different: The molecular mass is the mass of 1 molecule while the molar mass is the mass of 6.022 × 10^23 molecules.
Explain the difference between extensive properties and intensive properties.
The value of an extensive property depends upon the amount of matter being considered, whereas the value of an intensive property is the same regardless of the amount of matter being considered.
Kinetic molecular theory
Theory based on simple principles and assumptions that effectively explains ideal gas behavior
Law of conservation of matter
There is no detectable change in the tool quantity of matter present when matter converts from one type to another or changes among solid, liquid, or gaseous states
Would you agree to buy 1 trillion (1,000,000,000,000) gold atoms for $5? Explain why or why not. Find the current price of gold at http://money.cnn.com/data/commodities/ (1 troy ounce=31.1 g)
This amount cannot be weighted by ordinary balances and is worthless
A sample of gas isolated from unrefined petroleum contains 90.0% CH4, 8.9% C2H6, and 1.1% C3H8 at a total pressure of 307.2 kPa. What is the partial pressure of each component of this gas? (The percentages given indicate the percent of the total pressure that is due to each component.)
CH4: 276 kPa; C2H6: 27 kPa; C3H8: 3.4 kPa
Identify the postulate of Dalton's theory that is violated by the following observations: 59.95% of one sample of titanium dioxide is titanium; 60.10% of a different sample of titanium dioxide is titanium.
This statement violates Dalton's fourth postulate: In a given compound, the numbers of atoms of each type (and thus also the percentage) always have the same ratio.
What did Thomson's cathode ray tube show?
Thomson's cathode ray tube showed that atoms contain small, negatively charged particles called electrons
Dalton's Law of partial pressures
Total pressure of a mixture of ideal gases is equal to the sum of the partial pressures of the component gases
Effusion
Transfer of gaseous atoms or molecules from a container to a vacuum through very small openings
The average atomic masses of some elements may vary, depending upon the sources of their ores. Naturally occurring boron consists of two isotopes with accurately known masses (10B, 10.0129 amu and 11B, 11.0931 amu). The actual atomic mass of boron can vary from 10.807 to 10.819, depending on whether the mineral source is from Turkey or the United States. Calculate the percent abundances leading to the two values of the average atomic masses of boron from these two countries.
Turkey source: 26.49% (of 10.0129 amu isotope); US source: 25.37% (of 10.0129 amu isotope)
Binary ionic compounds
Typically consist of a metal and a nonmetal
Neutron
Uncharged, subatomic particle located in the nucleus; relatively heavy particles with no charge and a mass of 1.0087 amu
Molarity (M)
Unit of concentration, defined as the number of atoms, molecules, ions, or other entities as the number of atoms in exactly 12 grams of 12C
Atomic mass unit (amu)
Unit of mass equal to 1/12 of the mass of a 12C atom and is equal to 1.6605 * 10^-24 g
Pounds per square inch (psi)
Unit of pressure common in the US
Atmosphere (atm)
Unit of pressure; 1 atm = 101,325 Pa
Bar
Unit of pressure; 1 bar = 100,000 Pa
Torr
Unit of pressure; 1 torr = 1 / 760 atm
Celsius
Unit of temperature; Water freezes at 0°C and boils at 100°C on this scale
Fahrenheit
Unit of temperature; Water freezes at 32°F and boils at 212°F on this scale
Liter
Unit of volume; 1 L = 1,000 cm3
Write a sentence that describes how to determine the number of moles of a compound in a known mass of the compound using its molecular formula.
Use the molecular formula to find the molar mass; to obtain the number of moles, divide the mass of compound by the molar mass of the compound expressed in grams
How are binary acids named?
Using the prefix hydro-, changing the -ide suffix to -ic, and adding "acid;" HCl is hydrochloric acid; The word hydrogen is changed to the prefix hydro; The other nonmetallic element name is modified by adding the suffix -ic; The word "acid" is added as a second word
What is Charles's law
V/T = constant at constant P and n; If the temperature of a gas is increased, a constant pressure may be maintained only if the volume occupied by the gas increases; Will result in greater average distances traveled by the molecules to reach the container walls, as well as increased wall surface area; These conditions will decrease both the frequency of molecule wall collisions and the number of collisions per unit area, the combined effects of balance the effect of increased collision forces due to the greater kinetic energy at the higher temperature
What is Avogradro's law
V/n = constant at constant P and T; At constant pressure and temperature, the frequency and force of molecule wall collisions are constant; Under such conditions, increasing the number of gaseous molecules will require a proportional increase in the container volume in order to yield a decrease in the number of collisions per unit area to compensate for the increased frequency of collisions
Dimensional analysis
Versatile mathematical approach that can be applied to computations ranging from simple unit conversions to more complex, multistep calculations involving several different quantities
Group
Vertical column of the periodic table
Combustion reaction
Vigorous redox reaction producing significant amounts of energy in the form of heat and sometimes, light
Standard molar volume
Volume of 1 mole of gas at STP, approximately 22.4 L for gases behaving ideally
Cubic centimeter
Volume of a cube with an edge length of exactly 1 cm
Avogadro's law
Volume of a gas at constant temperature and pressure is proportional to the number of gas molecules; Under the same conditions of temperature and pressure, equal volumes of all gases contain the same number of molecules
Boyle's law
Volume of a given number of moles of gas held at constant temperature is inversely proportional to the pressure under which it is measured; The volume of a given amount of gas is inversely proportional to its pressure when temperature is held constant
Charle's law
Volume of a given number of moles of gas is directly proportional to its kelvin temperature when the pressure is held constant
What information is needed to calculate the molarity of a sulfuric acid solution?
We need to know the number of moles of sulfuric acid dissolved in the solution and the volume of the solution.
Theories
Well substantiated, comprehensive, testable explanations of particular aspects of nature
Chloride
CL-
Cyanide
CN -
Carbonate
CO3 -2
Calcium
Ca+2
Cobalt (II)
Co+2
Covalent compound
Composed of molecules formed by atoms of two or more different elements
Molecular compound
Composed of molecules formed by atoms of two or more different elements
Mixture
Composed of two or more types of after that can be present in varying amounts and can be separated by physical changes
Ionic compound
Compound composed of cations and anions combined in ratios, yielding an electrically neutral substance
Hydrate
Compound containing one or more water molecules bound within its crystals
Binary compound
Compound containing two different elements
Binary acid
Compound that contains hydrogen and one other element, bonded in way that imparts acidic properties to the compound; Ability to release H+ ions when dissolved in water
Oxyacid
Compound that contains hydrogen, oxygen, and one other element, bonded in a way that imparts acidic properties to the compound
Spatial isomers
Compounds in which the relative orientations of the atoms in space differ
Isomers
Compounds with the same chemical formula but different structures
Mole fraction (X)
Concentration unit defined as the ratio of the molar amount of a mixture component to the total number of moles of all mixture components
Molecule
Consists of two or more atoms joined by chemical bonds
Ideal gas constant (R)
Constant derived from the ideal gas equation R = 0.08206 L atm mol-1 K-1 or 8.314 L kPa mol-1K-1
Outline the steps needed to solve the following problem, then do the calculations. Ether, (C2H5)2O, which was originally used as an anesthetic but has been replaced by safer and more effective medications, is prepared by the reaction of ethanol with sulfuric acid. 2C2H5OH + H2SO4 ⟶ (C2H5)2O + H2SO4·H2O What is the percent yield of ether if 1.17 L (d = 0.7134 g/mL) is isolated from the reaction of 1.500 L of C2H5OH (d = 0.7894 g/mL)?
Convert mass of ethanol to moles of ethanol; relate the moles of ethanol to the moles of ether produced using the stoichiometry of the balanced equation. Convert moles of ether to grams; divide the actual grams of ether (determined through the density) by the theoretical mass to determine the percent yield; 87.6%
Chromium (III)
Cr+3
Cesium
Cs+
Copper (II)
Cu+2
The existence of isotopes violates one of the original ideas of Dalton's atomic theory. Which one?
Dalton originally thought that all atoms of a particular element had identical properties, including mass. Thus, the concept of isotopes, in which an element has different masses, was a violation of the original idea. To account for the existence of isotopes, the second postulate of his atomic theory was modified to state that atoms of the same element must have identical chemical properties.
How to find density
Density = mass / volume
Extensive property
Depends on the amount of matter present
Dissolved
Describes the process by which solute components are dispersed in a solvent
Buret
Device used for the precise delivery of variable liquid volumes, such as in a titration analysis
Barometer
Device used to measure atmospheric pressure
Manometer
Device used to measure the pressure of a gas trapped in a container
Intensive property
Does not depend on the amount of matter present
Metal
Element that is shiny, malleable, good conductor of heat and electricity; tend to lose the number of electrons that would leave them with the same number of electrons as in the preceding noble gas in the periodic table
Nonmetals
Elements that conduct poorly
Metals
Elements that conduct well
Metalloids
Elements that have intermediate conductivities
Fundamental unit of charge
Equals the magnitude of the charge of an electron
Uncertainty
Estimate of amount by which measurement differs from true value
Homogeneous mixture
Exhibits a uniform composition and appears visually the same throughout
Avogadro's number (NA)
Experimentally determined value of the number of entities comprising 1 mole of substance, equal to 6.022 x 1023 mol-1
Iron (II)
Fe+2
Weight
Force that gravity exerts on an object which is proportional to the mass of the object
Which contains the greatest mass of oxygen: 0.75 mol of ethanol (C2H5OH), 0.60 mol of formic acid (HCO2H), or 1.0 mol of water (H2O)? Explain why.
Formic acid. Its formula has twice as many oxygen atoms as the other two compounds (one each). Therefore, 0.60 mol of formic acid would be equivalent to 1.20 mol of a compound containing a single oxygen atom
Molecular formula
Formula indicating the composition of a molecule of a compound and giving the actual number of atoms of each element in a molecule of the compound
Empirical formula
Formula showing the composition of a compound given as the simplest whole number ratio of atoms
Graphs showing the behavior of several different gases follow. Which of these gases exhibit behavior significantly different from that expected for ideal gases?
Gases C, E, and F
What are the five postulates of the Kinetic molecular theory
Gases are composed of molecules that are in continuous motion, travelling in straight lines and changing direction only when they collide with other molecules or with the walls of a container; The molecules composing the gas are negligibly small compared to the distances between them; The pressure exerted by a gas in a container results from collisions between the gas molecules and the container walls; Gas molecules exert no attractive or repulsive forces on each other or the container walls; therefore, their collisions are elastic (do not involve a loss of energy); The average kinetic energy of the gas molecules is proportional to the kelvin temperature of the gas
Prepare a list of the principal chemicals consumed and produced during the operation of an automobile.
Gasoline (a mixture of compounds), oxygen, and to a lesser extent, nitrogen are consumed. Carbon dioxide and water are the principal products. Carbon monoxide and nitrogen oxides are produced in lesser amounts.
Combustion analysis
Gravimetric technique used to determine the elemental composition of a compound via the collection and weighing of its gaseous combustion products
Hydride
H-
The military has experimented with lasers that produce very intense light when fluorine combines explosively with hydrogen. What is the balanced equation for this reaction?
H2(g)+F2(g) ⟶ 2HF(g)
The distribution of molecular velocities in a sample of helium is shown in Figure 9.34. If the sample is cooled, will the distribution of velocities look more like that of H2 or of H2O? Explain your answer.
H2O. Cooling slows the velocities of the He atoms, causing them to behave as though they were heavier.
Dihydrogen Phosphate
H2PO4 -
Hydronium
H3O+
Hydrogen carbonate
HCO3 -
Hydrogen phosphate
HPO4 -2
Hydrogen sulfate
HSO4 -
Mercury (II)
Hg+2
Mercury (I)
Hg2 +2
Period
Horizontal row of the periodic table
Series
Horizontal row of the periodic table
Temperature
Hotness or coldness of a substance
Accuracy
How closely a measurement aligns with a correct value
Precision
How closely a measurement matches the same measurement when repeated
Oxidation numbers for common nonmetals are usually assigned as follows
Hydrogen: +1 when combined with nonmetals, -1 when combined with metals; Oxygen: -2 in most compounds, sometimes -1 (so called peroxides, O22-), very rarely -½ (so-called superoxides, O2-), positive values when combined with F (values vary); Halogens: -1 for F always, -1 for other halogens except when combined with oxygen or other halogens (positive oxidation numbers in these cases, varying values)
Iodide
I-
Spectator ion
Ion that does not undergo a chemical or physical change during a reaction, but its presence is required to maintain charge neutrality
Salt
Ionic compound that can be formed by the reaction of an acid with a base that contains a cation and an anion other than hydroxide or oxide
Using the periodic table, predict whether the following chlorides are ionic or covalent: KCl, NCl3, ICl, MgCl2, PCl5, and CCl4.
Ionic: KCl, MgCl2; Covalent: NCl3, ICl, PCl5, CCl4
Silver can be separated from gold because silver dissolves in nitric acid while gold does not. Is the dissolution of silver in nitric acid an acid-base reaction or an oxidation-reduction reaction? Explain your answer.
It is an oxidation-reduction reaction because the oxidation state of the silver changes during the reaction
End point
Measured volume of titrant solution that yields the change in sample solution appearance or other property expected for stoichiometric amount of titrant for the sample's analyte according to the titration reaction
Magnesium
Mg+2
Determine the empirical and molecular formula for chrysotile asbestos. Chrysotile has the following percent composition: 28.03% Mg, 21.60% Si, 1.16% H, and 49.21% O. The molar mass for chrysotile is 520.8 g/mol.
Mg3Si2H3O8 (empirical formula), Mg6Si4H6O16 (molecular formula)
What did Milikan discover?
Millikan discovered that there is a fundamental electric charge—the charge of an electron
What did Rutherford's experiment show?
Millikan discovered that there is a fundamental electric charge—the charge of an electron
Heterogeneous mixture
Mixture with a composition that varies from point to point
Manganese (II)
Mn+2
Permanganate
MnO4 -
Van der Waals equation
Modified version of the ideal gas equation containing additional terms to account for non ideal gas behavior
How do molecules of elements and molecules of compounds differ? In what ways are they similar?
Molecules of elements contain only one type of atom; molecules of compounds contain two or more types of atoms. They are similar in that both are comprised of two or more atoms chemically bonded together.
What is Dalton's law
Molecules of one gas in a mixture bombard the container walls with the same frequency whether other gases are present or not, and the total pressure of a gas mixture equals the sum of the (partial) pressures of the individual gases
Diffusion
Movement of an atom or molecule from a region of relatively high concentration to one of relatively low concentration
Ammonium
NH4 +
Nitrite
NO2 -
Nitrate
NO3 -
Sodium
Na+
Uranium can be isolated from its ores by dissolving it as UO2(NO3)2, then separating it as solid UO2(C2O4)·3H2O. Addition of 0.4031 g of sodium oxalate, Na2C2O4, to a solution containing 1.481 g of uranyl nitrate, UO2(NO3)2, yields 1.073 g of solid UO2(C2O4)·3H2O. Na2C2O4 + UO2(NO3)2 + 3H2O ⟶ UO2(C2O4)·3H2O + 2NaNO3 Determine the limiting reactant and the percent yield of this reaction.
Na2C2O4 is the limiting reactant. percent yield = 86.6%
How are compounds formatted?
Name of the metal is written first, followed by the name of the nonmetal with its ending changed to -ide; If the metal can form ions with different charges, a Roman numeral in parentheses follows the name of the metal to specify its charge
Anion
Negatively charged atom or molecule; Contains more electrons than protons
Electron
Negatively charged, subatomic particle of relatively low mass located outside the nucleus; a charge of 1− and a mass of 0.00055 amu
Nickel (II)
Ni+2
Exact number
Number derived by counting or by definition
Atomic number (Z)
Number of protons in the nucleus of an atom; property that defines an atom's elemental identity
Coefficient
Number placed in front of symbols or formulas in a chemical equation to indicate their relative amount
Oxide
O -2
Peroxide
O2 -2
Hydroxide
OH -
Soluble
Of relatively high solubility; Dissolving to a relatively large extent
Insoluble
Of relatively low solubility; Dissolving only to a slight extent
Structural isomer
One of two substances that have the same molecular formula but different physical and chemical properties because their atoms are bonded differently
Chemical symbol
One-, two-, or three-letter abbreviation used to represent an element or its atoms
How many molecules of the sweetener saccharin can be prepared from 30 C atoms, 25 H atoms, 12 O atoms, 8 S atoms, and 14 N atoms?
Only four molecules can be made.
How are oxyacids named?
Oxyacids are named by changing the ending of the anion (-ate to -ic and -ite to -ous), and adding "acid;" H2CO3 is carbonic acid; Omit hydrogen; Start with the root name of the anion; Replace -ate with -ic, ir -ite with -ous
1 atom
mono-
9 atoms
nona-
8 atoms
octa-
Law of multiple proportions
When two elements react to form more than one compound, a fixed mass of one element will react with masses of the other element in a ratio of small whole numbers
How would the use of a volatile liquid affect the measurement of a gas using open-ended manometers vs. closed-end manometers?
With a closed-end manometer, no change would be observed, since the vaporized liquid would contribute equal, opposing pressures in both arms of the manometer tube. However, with an open-ended manometer, a higher pressure reading of the gas would be obtained than expected, since Pgas =Patm +Pvol liquid.
A sample of a compound of xenon and fluorine was confined in a bulb with a pressure of 18 torr. Hydrogen was added to the bulb until the pressure was 72 torr. Passage of an electric spark through the mixture produced Xe and HF. After the HF was removed by reaction with solid KOH, the final pressure of xenon and unreacted hydrogen in the bulb was 36 torr. What is the empirical formula of the xenon fluoride in the original sample?
XeF2
Most mixtures of hydrogen gas with oxygen gas are explosive. However, a mixture that contains less than 3.0 % O2 is not. If enough O2 is added to a cylinder of H2 at 33.2 atm to bring the total pressure to 34.5 atm, is the mixture explosive?
Yes
As an instructor is preparing for an experiment, he requires 225 g phosphoric acid. The only container readily available is a 150-mL Erlenmeyer flask. Is it large enough to contain the acid, whose density is 1.83 g/mL?
Yes, the acid's volume is 123 mL
Can the speed of a given molecule in a gas double at constant temperature? Explain your answer.
Yes. At any given instant, there are a range of values of molecular speeds in a sample of gas. Any single molecule can speed up or slow down as it collides with other molecules. The average velocity of all the molecules is constant at constant temperature
2 atoms
di-
5 atoms
penta-
Toluene, C6H5CH3, is oxidized by air under carefully controlled conditions to benzoic acid, C6H5CO2H, which is used to prepare the food preservative sodium benzoate, C6H5CO2Na. What is the percent yield of a reaction that converts 1.000 kg of toluene to 1.21 kg of benzoic acid? 2C6H5CH3+3O2 ⟶ 2C6H5CO2H+2H2O
percent yield=91.3%
The volume of a sample of oxygen gas changed from 10 mL to 11 mL as the temperature changed. Is this a chemical or physical change?
physical
How do you calculate parts per billion
ppb = (mass solute / mass solution) * 109 ppb
How do you calculate parts per million
ppm = (mass solute / mass solution) * 106 ppm
3 atoms
tri-
Is a 197-lb weight lifter light enough to compete in a class limited to those weighing 90 kg or less?
yes; weight = 89.4 kg
Determine the number of atoms and the mass of zirconium, silicon, and oxygen found in 0.3384 mol of zircon, ZrSiO4, a semiprecious stone.
zirconium: 2.038 × 10^23 atoms; 30.87 g; silicon: 2.038 × 10^23 atoms; 9.504 g; oxygen: 8.151 × 10^23 atoms; 21.66 g
Convert the temperature of the coldest area in a freezer, −10 °F, to degrees Celsius and kelvin.
−23 °C, 250 K
Convert the boiling temperature of liquid ammonia, −28.1 °F, into degrees Celsius and kelvin.
−33.4 °C, 239.8 K
Main-group element
Another term for representative element
Period
Another term for series
Answer the following questions: (a) If XX behaved as an ideal gas, what would its graph of Z vs. P look like? (b) For most of this chapter, we performed calculations treating gases as ideal. Was this justified? (c) What is the effect of the volume of gas molecules on Z? Under what conditions is this effect small? When is it large? Explain using an appropriate diagram. (d) What is the effect of intermolecular attractions on the value of Z? Under what conditions is this effect small? When is it large? Explain using an appropriate diagram. (e) In general, under what temperature conditions would you expect Z to have the largest deviations from the Z for an ideal gas?
(a) A straight horizontal line at 1.0; (b) When real gases are at low pressures and high temperatures, they behave close enough to ideal gases that they are approximated as such; however, in some cases, we see that at a high pressure and temperature, the ideal gas approximation breaks down and is significantly different from the pressure calculated by the ideal gas equation. (c) The greater the compressibility, the more the volume matters. At low pressures, the correction factor for intermolecular attractions is more significant, and the effect of the volume of the gas molecules on Z would be a small lowering compressibility. At higher pressures, the effect of the volume of the gas molecules themselves on Z would increase compressibility (see Figure9.35). (d) Once again, at low pressures, the effect of intermolecular attractions on Z would be more important than the correction factor for the volume of the gas molecules themselves, though perhaps still small. At higher pressures and low temperatures, the effect of intermolecular attractions would be larger. See Figure9.35. (e) Low temperatures
Colorful fireworks often involve the decomposition of barium nitrate and potassium chlorate and the reaction of the metals magnesium, aluminum, and iron with oxygen. (a) Write the formulas of barium nitrate and potassium chlorate. (b) The decomposition of solid potassium chlorate leads to the formation of solid potassium chloride and diatomic oxygen gas. Write an equation for the reaction. (c) The decomposition of solid barium nitrate leads to the formation of solid barium oxide, diatomic nitrogen gas, and diatomic oxygen gas. Write an equation for the reaction. (d) Write separate equations for the reactions of the solid metals magnesium, aluminum, and iron with diatomic oxygen gas to yield the corresponding metal oxides. (Assume the iron oxide contains Fe3+ ions.)
(a) Ba(NO3)2, KClO3; (b) 2KClO3(s) ⟶ 2KCl(s)+3O2(g); (c) 2Ba(NO3)2(s) ⟶ 2BaO(s)+2N2(g)+5O2(g); (d) 2Mg(s)+O2(g) ⟶ 2MgO(s); 4Al(s)+3O2(g) ⟶ 2Al2O3(s); 4Fe(s)+3O2(g) ⟶ 2Fe2O3(s)
Lime, CaO, is produced by heating calcium carbonate, CaCO3; carbon dioxide is the other product. (a) Outline the steps necessary to answer the following question: What volume of carbon dioxide at 875 K and 0.966 atm is produced by the decomposition of 1 ton (1.000 × 10^3 kg) of calcium carbonate? (b) Answer the question.
(a) Balance the equation. Determine the grams of CO2 produced and the number of moles. From the ideal gas law, determine the volume of gas. (b) 7.43 × 105 L
Write the empirical formulas for the following compounds:
(a) C4H5N2O; (b) C12H22O11; (c) HO; (d) CH2O; (e) C3H4O3
Determine the empirical formulas for compounds with the following percent compositions: (a) 15.8% carbon and 84.2% sulfur (b) 40.0% carbon, 6.7% hydrogen, and 53.3% oxygen
(a) CS2; (b) CH2O
Complete and balance the equations of the following reactions, each of which could be used to remove hydrogen sulfide from natural gas: (a) Ca(OH)2(s)+H2S(g) ⟶ (b) Na2CO3(aq)+H2S(g) ⟶
(a) Ca(OH)2(s)+H2S(g) ⟶ CaS(s)+2H2O(l); (b) Na2CO3(aq)+H2S(g) ⟶ Na2S(aq)+CO2(g)+H2O(l)
Write a balanced molecular equation describing each of the following chemical reactions. (a) Solid calcium carbonate is heated and decomposes to solid calcium oxide and carbon dioxide gas. (b) Gaseous butane, C4H10, reacts with diatomic oxygen gas to yield gaseous carbon dioxide and water vapor. (c) Aqueous solutions of magnesium chloride and sodium hydroxide react to produce solid magnesium hydroxide and aqueous sodium chloride. (d) Water vapor reacts with sodium metal to produce solid sodium hydroxide and hydrogen gas.
(a) CaCO3(s) ⟶ CaO(s)+CO2(g); (b) 2C4H10(g)+13O2(g) ⟶ 8CO2(g)+10H2O(g); (c) MgC12(aq)+2NaOH(aq) ⟶ Mg(OH)2(s)+2NaCl(aq); (d) 2H2O(g)+2Na(s) ⟶ 2NaOH(s)+H2(g)
For each of the following pairs of ions, write the formula of the compound they will form: (a) Ca2+, S2− (b) NH4+ , SO42− (c) Al3+, Br− (d) Na+, HPO42− (e) Mg2+, PO43−
(a) CaS; (b) (NH4)2SO4; (c) AlBr3; (d) Na2HPO4; (e) Mg3 (PO4)2
Write the formulas of the following compounds: (a) chlorine dioxide (b) dinitrogen tetraoxide (c) potassium phosphide (d) silver(I) sulfide (e) aluminum fluoride trihydrate (f) silicon dioxide
(a) ClO2; (b) N2O4; (c) K3P; (d) Ag2S; (e) AIF3·3H2O; (f) SiO2
The chlorofluorocarbon CCl2F2 can be recycled into a different compound by reaction with hydrogen to produce CH2F2(g), a compound useful in chemical manufacturing: CCl2F2(g)+4H2(g) ⟶ CH2F2(g)+2HCl(g) (a) Outline the steps necessary to answer the following question: What volume of hydrogen at 225 atm and 35.5 °C would be required to react with 1 ton (1.000 × 10^3 kg) of CCl2F2? (b) Answer the question.
(a) Determine the molar mass of CCl2F2. From the balanced equation, calculate the moles of H2 needed for the complete reaction. From the ideal gas law, convert moles of H2 into volume. (b) 3.72 × 10^3 L
Consider this question: What is the molarity of KMnO4 in a solution of 0.0908 g of KMnO4 in 0.500 L of solution? (a) Outline the steps necessary to answer the question. (b) Answer the question
(a) Determine the molar mass of KMnO4; determine the number of moles of KMnO4 in the solution; from the number of moles and the volume of solution, determine the molarity; (b) 1.15 × 10−3 M
Joseph Priestley first prepared pure oxygen by heating mercuric oxide, HgO: 2HgO(s) ⟶ 2Hg(l)+O2(g) (a) Outline the steps necessary to answer the following question: What volume of O2 at 23 °C and 0.975 atm is produced by the decomposition of 5.36 g of HgO? (b) Answer the question.
(a) Determine the moles of HgO that decompose; using the chemical equation, determine the moles of O2 produced by decomposition of this amount of HgO; and determine the volume of O2 from the moles of O2, temperature, and pressure. (b) 0.308
Determine the oxidation states of the elements in the compounds listed. None of the oxygen-containing compounds are peroxides or superoxides. (a) H3PO4 (b) Al(OH)3 (c) SeO2 (d) KNO2 (e) In2S3 (f) P4O6
(a) H +1, P +5, O −2; (b) Al +3, H +1, O −2; (c) Se +4, O −2; (d) K +1, N +3, O −2; (e) In +3, S −2; (f) P +3, O −2
Balance the following equations: (a) PCl5(s)+H2O(l) ⟶ POCl3(l)+HCl(aq) (b) Cu(s)+HNO3(aq) ⟶ Cu(NO3)2(aq)+H2O(l)+NO(g) (c) H2(g)+I2(s) ⟶ HI(s) (d) Fe(s)+O2(g) ⟶ Fe2O3(s) (e) Na(s)+H2O(l) ⟶ NaOH(aq)+H2(g) (f) (NH4)2Cr2O7(s) ⟶ Cr2O3(s)+N2(g)+H2O(g) (g) P4(s)+Cl2(g) ⟶ PCl3(l) (h) PtCl4(s) ⟶ Pt(s)+Cl2(g)
(a) PCl5(s)+H2O(l) ⟶ POCl3(l)+2HCl(aq); (b) 3Cu(s)+8HNO3(aq) ⟶ 3Cu(NO3)2(aq)+4H2O(l)+2NO(g); (c) H2(g)+I2(s) ⟶ 2HI(s); (d) 4Fe(s)+3O2(g) ⟶ 2Fe2O3(s); (e) 2Na(s)+2H2O(l) ⟶ 2NaOH(aq)+H2(g); (f) (NH4)2Cr2O7(s) ⟶ Cr2O3(s)+N2(g)+4H2O(g); (g) P4(s)+6Cl2(g) ⟶ 4PCl3(l); (h) PtCl4(s) ⟶ Pt(s)+2Cl2(g)
Write the formulas of the following compounds: (a) rubidium bromide (b) magnesium selenide (c) sodium oxide (d) calcium chloride (e) hydrogen fluoride (f) gallium phosphide (g) aluminum bromide (h) ammonium sulfate
(a) RbBr; (b) MgSe; (c) Na2O; (d) CaCl2; (e) HF; (f) GaP; (g) AlBr3; (h) (NH4)2SO4
Predict and test the behavior of α particles fired at a Rutherford atom model. (a) Predict the paths taken by α particles that are fired at atoms with a Rutherford atom model structure. Explain why you expect the α particles to take these paths. (b) If α particles of higher energy than those in (a) are fired at Rutherford atoms, predict how their paths will differ from the lower-energy α particle paths. Explain your reasoning. (c) Predict how the paths taken by the α particles will differ if they are fired at Rutherford atoms of elements other than gold. What factor do you expect to cause this difference in paths, and why?
(a) The Rutherford atom has a small, positively charged nucleus, so most α particles will pass through empty space far from the nucleus and be undeflected. Those α particles that pass near the nucleus will be deflected from their paths due to positive-positive repulsion. The more directly toward the nucleus the α particles are headed, the larger the deflection angle will be. (b) Higher-energy α particles that pass near the nucleus will still undergo deflection, but the faster they travel, the less the expected angle of deflection. (c) If the nucleus is smaller, the positive charge is smaller and the expected deflections are smaller—both in terms of how closely the α particles pass by the nucleus undeflected and the angle of deflection. If the nucleus is larger, the positive charge is larger and the expected deflections are larger—more α particles will be deflected, and the deflection angles will be larger.
Consider this question: What mass of a concentrated solution of nitric acid (68.0% HNO3 by mass) is needed to prepare 400.0 g of a 10.0% solution of HNO3 by mass? (a) Outline the steps necessary to answer the question. (b) Answer the question.
(a) The dilution equation can be used, appropriately modified to accommodate mass-based concentration units: %mass1 ×mass1 =%mass2 ×mass2. This equation can be rearranged to isolate mass1 and the given quantities substituted into this equation. (b) 58.8 g
A 1-L sample of CO initially at STP is heated to 546 K, and its volume is increased to 2 L. (a) What effect do these changes have on the number of collisions of the molecules of the gas per unit area of the container wall? (b) What is the effect on the average kinetic energy of the molecules? (c) What is the effect on the root mean square speed of the molecules?
(a) The number of collisions per unit area of the container wall is constant. (b) The average kinetic energy doubles. (c) The root mean square speed increases to 2 times its initial value; urms is proportional to √(KEavg)
An alternate way to state Avogadro's law is "All other things being equal, the number of molecules in a gas is directly proportional to the volume of the gas." (a) What is the meaning of the term "directly proportional?" (b) What are the "other things" that must be equal?
(a) The number of particles in the gas increases as the volume increases. (b) temperature, pressure
Classify the following as acid-base reactions or oxidation-reduction reactions: (a) Na2S(aq)+2HCl(aq) ⟶ 2NaCl(aq)+H2S(g) (b) 2Na(s)+2HCl(aq) ⟶ 2NaCl(aq)+H2(g) (c) Mg(s)+Cl2(g) ⟶ MgCl2(s) (d) MgO(s)+2HCl(aq) ⟶ MgCl2(aq)+H2O(l) (e) K3P(s)+2O2(g) ⟶ K3PO4(s) (f) 3KOH(aq)+H3PO4(aq) ⟶ K3PO4(aq)+3H2O(l)
(a) acid-base; (b) oxidation-reduction: Na is oxidized, H+ is reduced; (c) oxidation-reduction: Mg is oxidized, Cl2 is reduced; (d) acid-base; (e) oxidation-reduction: P3− is oxidized, O2 is reduced; (f) acid-base
Give the name of the prefix and the quantity indicated by the following symbols that are used with SI base units. (a) c (b) d (c) G (d) k (e) m (f) n (g) p (h) T
(a) centi-, × 10^−2; (b) deci-, × 10^−1; (c) Giga-, × 10^9; (d) kilo-, × 10^3; (e) milli-, × 10^−3; (f) nano-, × 10^−9; (g) pico-, × 10^−12; (h) tera-, × 10^12
Name the following compounds: (a) CsCl (b) BaO (c) K2S (d) BeCl2 (e) HBr (f) AlF3
(a) cesium chloride; (b) barium oxide; (c) potassium sulfide; (d) beryllium chloride; (e) hydrogen bromide; (f) aluminum fluoride
Each of the following compounds contains a metal that can exhibit more than one ionic charge. Name these compounds: (a) Cr2O3 (b) FeCl2 (c) CrO3 (d) TiCl4 (e) CoCl2·6H2O (f) MoS2
(a) chromium(III) oxide; (b) iron(II) chloride; (c) chromium(VI) oxide; (d) titanium(IV) chloride; (e) cobalt(II) chloride hexahydrate; (f) molybdenum(IV) sulfid
For each of the following compounds, state whether it is ionic or covalent. If it is ionic, write the symbols for the ions involved: (a) NF3 (b) BaO (c) (NH4)2CO3 (d) Sr(H2PO4)2 (e) IBr (f) Na2O
(a) covalent; (b) ionic, Ba2+, O2−; (c) ionic, NH4+ , CO32−; (d) ionic, Sr2+, H2PO4−; (e) covalent; (f) ionic, Na+, O2
Consider this question: What is the mass of the solute in 0.500 L of 0.30 Mglucose, C6H12O6, used for intravenous injection? (a) Outline the steps necessary to answer the question. (b) Answer the question.
(a) determine the number of moles of glucose in 0.500 L of solution; determine the molar mass of glucose; determine the mass of glucose from the number of moles and its molar mass; (b) 27 g
If 0.1718 L of a 0.3556-MC3H7OH solution is diluted to a concentration of 0.1222 M, what is the volume of the resulting solution?
0.5000 L
Oxidation stage
Another term for oxidation number
Answer the following questions: (a) Is the pressure of the gas in the hot-air balloon shown at the opening of this chapter greater than, less than, or equal to that of the atmosphere outside the balloon? (b) Is the density of the gas in the hot-air balloon shown at the opening of this chapter greater than, less than, or equal to that of the atmosphere outside the balloon? (c) At a pressure of 1 atm and a temperature of 20 °C, dry air has a density of 1.2256 g/L. What is the (average) molar mass of dry air? (d) The average temperature of the gas in a hot-air balloon is 1.30 × 102 °F. Calculate its density, assuming the molar mass equals that of dry air. (e) The lifting capacity of a hot-air balloon is equal to the difference in the mass of the cool air displaced by the balloon and the mass of the gas in the balloon. What is the difference in the mass of 1.00 L of the cool air in part (c) and the hot air in part (d)? (f) An average balloon has a diameter of 60 feet and a volume of 1.1 × 105 ft3. What is the lifting power of such a balloon? If the weight of the balloon and its rigging is 500 pounds, what is its capacity for carrying passengers and cargo? (g) A balloon carries 40.0 gallons of liquid propane (density 0.5005 g/L). What volume of CO2 and H2O gas is produced by the combustion of this propane? (h) A balloon flight can last about 90 minutes. If all of the fuel is burned during this time, what is the approximate rate of heat loss (in kJ/min) from the hot air in the bag during the flight?
(a) equal; (b) less than; (c) 29.48 g mol^−1; (d) 1.0966 g L^−1; (e) 0.129 g/L; (f) 4.01 × 10^5 g; net lifting capacity = 384 lb; (g) 270 L; (h) 39.1 kJ min^−1
Indicate whether each of the following can be determined exactly or must be measured with some degree of uncertainty: (a) the number of seconds in an hour (b) the number of pages in this book (c) the number of grams in your weight (d) the number of grams in 3 kilograms (e) the volume of water you drink in one day (f) the distance from San Francisco to Kansas City
(a) exact; (b) exact; (c) uncertain; (d) exact; (e) uncertain; (f) uncertain
Indicate the SI base units or derived units that are appropriate for the following measurements: (a) the mass of the moon (b) the distance from Dallas to Oklahoma City (c) the speed of sound (d) the density of air (e) the temperature at which alcohol boils (f) the area of the state of Delaware (g) the volume of a flu shot or a measles vaccination
(a) kilograms; (b) meters; (c) kilometers/second; (d) kilograms/cubic meter; (e) kelvin; (f) square meters; (g) cubic meters
Use the periodic table to give the name and symbol for each of the following elements: (a) the noble gas in the same period as germanium (b) the alkaline earth metal in the same period as selenium (c) the halogen in the same period as lithium (d) the chalcogen in the same period as cadmium
(a) krypton, Kr; (b) calcium, Ca; (c) fluorine, F; (d) tellurium, Te
3. Identify each of the following statements as being most similar to a hypothesis, a law, or a theory. Explain your reasoning. (a) The pressure of a sample of gas is directly proportional to the temperature of the gas. (b) Matter consists of tiny particles that can combine in specific ratios to form substances with specific properties. (c) At a higher temperature, solids (such as salt or sugar) will dissolve better in water.
(a) law (states a consistently observed phenomenon, can be used for prediction); (b) theory (a widely accepted explanation of the behavior of matter); (c) hypothesis (a tentative explanation, can be investigated by experimentation)
What are the IUPAC names of the following compounds? (a) manganese dioxide (b) mercurous chloride (Hg2Cl2) (c) ferric nitrate [Fe(NO3)3] (d) titanium tetrachloride (e) cupric bromide (CuBr2)
(a) manganese(IV) oxide; (b) mercury(I) chloride; (c) iron(III) nitrate; (d) titanium(IV) chloride; (e) copper(II) bromide
Using the periodic table, classify each of the following elements as a metal or a nonmetal, and then further classify each as a main-group (representative) element, transition metal, or inner transition metal: (a) uranium (b) bromine (c) strontium (d) neon (e) gold (f) americium (g) rhodium (h) sulfur (i) carbon (j) potassium
(a) metal, inner transition metal; (b) nonmetal, representative element; (c) metal, representative element; (d) nonmetal, representative element; (e) metal, transition metal; (f) metal, inner transition metal; (g) metal, transition metal; (h) nonmetal, representative element; (i) nonmetal, representative element; (j) metal, representative element
Write the molecular and empirical formulas of the following compounds:
(a) molecular CO2, empirical CO2; (b) molecular C2H2, empirical CH; (c) molecular C2H4, empirical CH2; (d) molecular H2SO4, empirical H2SO4
Indicate what type, or types, of reaction each of the following represents: (a) Ca(s)+Br2(l) ⟶ CaBr2(s) (b) Ca(OH)2(aq)+2HBr(aq) ⟶ CaBr2(aq)+2H2O(l) (c) C6H12(l)+9O2(g) ⟶ 6CO2(g)+6H2O(g)
(a) oxidation-reduction (addition); (b) acid-base (neutralization); (c) oxidation-reduction (combustion)
Classify each of the following changes as physical or chemical: (a) condensation of steam (b) burning of gasoline (c) souring of milk (d) dissolving of sugar in water (e) melting of gold
(a) physical; (b) chemical; (c) chemical; (d) physical; (e) physical
Write balanced chemical equations for the reactions used to prepare each of the following compounds from the given starting material(s). In some cases, additional reactants may be required. (a) solid ammonium nitrate from gaseous molecular nitrogen via a two-step process (first reduce the nitrogen to ammonia, then neutralize the ammonia with an appropriate acid) (b) gaseous hydrogen bromide from liquid molecular bromine via a one-step redox reaction (c) gaseous H2S from solid Zn and S via a two-step process (first a redox reaction between the starting materials, then reaction of the product with a strong acid)
(a) step 1: N2(g)+3H2(g) ⟶ 2NH3(g), step 2: NH3(g)+HNO3(aq) ⟶ NH4NO3(aq) ⟶ NH4NO3(s)(after drying); (b) H2(g)+Br2(l) ⟶ 2HBr(g); (c) Zn(s)+S(s) ⟶ ZnS(s) and ZnS(s)+2HCl(aq) ⟶ ZnCl2(aq)+H2S(g)
Identify each of the underlined items as a part of either the macroscopic domain, the microscopic domain, or the symbolic domain of chemistry. For those in the symbolic domain, indicate whether they are symbols for a macroscopic or a microscopic feature. (a) A certain molecule contains one H atom and one Cl atom. (b) Copper wire has a density of about 8 g/cm^3. (c) The bottle contains 15 grams of Ni powder. (d) A sulfur molecule is composed of eight sulfur atoms.
(a) symbolic, microscopic; (b) macroscopic; (c) symbolic, macroscopic; (d) microscopic
How many significant figures are contained in each of the following measurements? (a) 53 cm (b) 2.05 × 10^8 m (c) 86,002 J (d) 9.740 × 10^4 m/s (e) 10.0613 m^3 (f) 0.17 g/mL (g) 0.88400 s
(a) two; (b) three; (c) five; (d) four; (e) six; (f) two; (g) five
Calculate the density of aluminum if 27.6 cm^3 has a mass of 74.6 g.
.2.70 g/cm3
A sample of solid calcium hydroxide, Ca(OH)2, is allowed to stand in water until a saturated solution is formed. A titration of 75.00 mL of this solution with 5.00 × 10−2 MHCl requires 36.6 mL of the acid to reach the end point. Ca(OH)2(aq)+2HCl(aq) ⟶ CaCl2(aq)+2H2O(l): What is the molarity?
0.0122M
There is about 1.0 g of calcium, as Ca2+, in 1.0 L of milk. What is the molarity of Ca2+ in milk?
0.025M
D5W is a solution used as an intravenous fluid. It is a 5.0% by mass solution of dextrose (C6H12O6) in water. If the density of D5W is 1.029 g/mL, calculate the molarity of dextrose in the solution.
0.29 mol
A chemist's 50-Trillion Angstrom Run (see Exercise 1.78) would be an archeologist's 10,900 cubit run. How long is one cubit in meters and in feet? (1 Å = 1 × 10^−8 cm)
0.46 m; 1.5 ft/cubit
A long ton is defined as exactly 2240 lb. What is this mass in kilograms?
1.0160 × 103 kg
A compact car gets 37.5 miles per gallon on the highway. If gasoline contains 84.2% carbon by mass and has a density of 0.8205 g/mL, determine the mass of carbon dioxide produced during a 500-mile trip (3.785 liters per gallon).
1.28 × 105 g CO2
Calculate the relative rate of diffusion of 1H2 (molar mass 2.0 g/mol) compared with 2H2 (molar mass 4.0 g/ mol) and the relative rate of diffusion of O2 (molar mass 32 g/mol) compared with O3 (molar mass 48 g/mol).
1.4; 1.2
What volume of a 0.20-MK2SO4 solution contains 57 g of K2SO4?
1.6 L
The hardness of water (hardness count) is usually expressed in parts per million (by mass) of CaCO3, which is equivalent to milligrams of CaCO3 per liter of water. What is the molar concentration of Ca2+ions in a water sample with a hardness count of 175 mg CaCO3/L?
1.75 × 10−3 M
What volume of a 0.33-MC12H22O11 solution can be diluted to prepare 25 mL of a solution with a concentration of 0.025M
1.9 mL
Milliliter
1/1,000 of of a liter Equal to 1 cm3
What volume of oxygen at 423.0 K and a pressure of 127.4 kPa is produced by the decomposition of 129.7 g of BaO2 to BaO and O2?
10.57 L O2
centi (c)
10^-2 (0.01)
milli (m)
10^-3 (0.001)
micro (μ)
10^-6 (0.000001)
nano (n)
10^-9 (0.000000001)
kilo (k)
10^3 (1,000)
giga (G)
10^9 (1,000,000,000)
A 2.00-L bottle of a solution of concentrated HCl was purchased for the general chemistry laboratory. The solution contained 868.8 g of HCl. What is the molarity of the solution?
11.9M
The weather in Europe was unusually warm during the summer of 1995. The TV news reported temperatures as high as 45 °C. What was the temperature on the Fahrenheit scale?
113 °F
What mass of solid NaOH (97.0% NaOH by mass) is required to prepare 1.00 L of a 10.0% solution of NaOH by mass? The density of the 10.0% solution is 1.109 g/mL.
114 g
A 2.50-L volume of hydrogen measured at -196 °C is warmed to 100 °C. Calculate the volume of the gas at the higher temperature, assuming no change in pressure.
12.1 L
What volume of a 0.3300-Msolution of sodium hydroxide would be required to titrate 15.00 mL of 0.1500 M oxalic acid? C2O4H2(aq)+2NaOH(aq) ⟶ Na2C2O4(aq)+2H2O(l)
13.64 mL
A 36.0-L cylinder of a gas used for calibration of blood gas analyzers in medical laboratories contains 350 g CO2, 805 g O2, and 4,880 g N2. At 25 degrees C, what is the pressure in the cylinder in atmospheres?
141 atm, 107,000 torr, 14,300 kPa
What volume of a 0.2089MKI solution contains enough KI to react exactly with the Cu(NO3)2 in 43.88 mL of a 0.3842Msolution of Cu(NO3)2? 2Cu(NO3)2+4KI ⟶ 2CuI+I2+4KNO3
161.40 mL KI solution
The toxic pigment called white lead, Pb3(OH)2(CO3)2, has been replaced in white paints by rutile, TiO2. How much rutile (g) can be prepared from 379 g of an ore that contains 88.3% ilmenite (FeTiO3) by mass? 2FeTiO3+4HCl+Cl2 ⟶ 2FeCl3+2TiO2+2H2O
176 g TiO2
The label on a soft drink bottle gives the volume in two units: 2.0 L and 67.6 fl oz. Use this information to derive a conversion factor between the English and metric units. How many significant figures can you justify in your conversion factor?
2.0 L / 67.6 fl oz = 0.030 L / 1 fl oz Only two significant figures are justified.
A cylinder of O2(g) used in breathing by patients with emphysema has a volume of 3.00 L at a pressure of 10.0 atm. If the temperature of the cylinder is 28.0 °C, what mass of oxygen is in the cylinder?
38.8 g
A balloon filled with helium gas takes 6 hours to deflate to 50% of its original volume. How long will it take for an identical balloon filled with the same volume of hydrogen gas (instead of helium) to decrease its volume by 50%?
4.2 hours
Calculate the density of Freon 12, CF2Cl2, at 30.0 °C and 0.954 atm.
4.64 g L^-1
Calculate the volume of oxygen required to burn 12.00 L of ethane gas, C2H6, to produce carbon dioxide and water, if the volumes of C2H6 and O2 are measured under the same conditions of temperature and pressure.
42.00 L
Many medical laboratory tests are run using 5.0 μL blood serum. What is this volume in milliliters?
5.0 × 10−3 mL
Urea, CO(NH2)2, is manufactured on a large scale for use in producing urea-formaldehyde plastics and as a fertilizer. What is the maximum mass of urea that can be manufactured from the CO2 produced by combustion of 1.00×103 kg of carbon followed by the reaction? CO2(g)+2NH3(g) ⟶ CO(NH2)2(s)+H2O(l)
5.00 × 103 kg
Ethanol, C2H5OH, is produced industrially from ethylene, C2H4, by the following sequence of reactions: 3C2H4+2H2SO4 ⟶ C2H5HSO4+ (C2H5)2SO4; C2H5HSO4+ (C2H5)2SO4+3H2O ⟶ 3C2H5OH+2H2SO4 What volume of ethylene at STP is required to produce 1.000 metric ton (1000 kg) of ethanol if the overall yield of ethanol is 90.1%?
5.40 × 10^5 L
When two cotton plugs, one moistened with ammonia and the other with hydrochloric acid, are simultaneously inserted into opposite ends of a glass tube that is 87.0 cm long, a white ring of NH4Cl forms where gaseous NH3 and gaseous HCl first come into contact. NH3(g)+HCl(g) ⟶ NH4Cl(s) At approximately what distance from the ammonia moistened plug does this occur? (Hint: Calculate the rates of diffusion for both NH3 and HCl, and find out how much faster NH3 diffuses than HCl.)
51.7 cm
Convert the boiling temperature of gold, 2966 °C, into degrees Fahrenheit and kelvin.
5371 °F, 3239 K
A cylinder of medical oxygen has a volume of 35.4 L, and contains O2 at a pressure of 151 atm and a temperature of 25 °C. What volume of O2 does this correspond to at normal body conditions, that is, 1 atm and 37 °C?
5561 L
Rebox reaction
Another term for oxidation reduction reaction
How do you calculate the number of neutrons?
A - Z = number of neutrons
Oxidant
Another term for oxidizing agent
Reductant
Another term for reducing agent
Physical change
A change in the state or properties of matter without any accompanying change in the chemical identities of the substances contained in the matter
Significant digits
A significant figures
Meter
A standard metric and SI unit of length; 1 m = approximately 1.094 yards
Hypothesis
A tentative explanation of observations that acts as a guide for gathering and checking information
Lanthanide
A transition metal in the first row of the two bottoms
Actinide
A transition metal in the second row of the two bottoms
Trailing
A zero behind the last significant figure in a number
Captive
A zero between significant figures
Leading
A zeroes between the decimal and the first significant figure
Acidic properties
Ability to release H+ ions when dissolved in water
Is a meter about an inch, a foot, a yard, or a mile?
About a yard
Strong acid
Acid that reacts completely when dissolved in water to yield hydronium ions
Weak acid
Acid that reacts only to a slight extent when dissolved in water to yield hydronium ions
Determine which of the following contains the greatest mass of aluminum: 122 g of AlPO4, 266 g of Al2C16, or 225 g of Al2S3.
AlPO4: 1.000 mol, or 26.98 g Al; Al2Cl6: 1.994 mol, or 53.74 g Al; Al2S3: 3.00 mol, or 80.94 g Al; The Al2S3 sample thus contains the greatest mass of Al
Significant figures
All of the measured digits in a determination, including the uncertain last digit
Law of constant composition
All samples of a pure compound contain the same elements in the same proportions by mass
Dalton
Alternative unit equivalent to the atomic mass unit
Unified atomic mass unit (u)
Alternative unit equivalent to the atomic mass unit
What is Amontons's law
Amontons's law: P/T = constant at constant V and n; If the temperature is increased, the average speed and kinetic energy of the gas molecules increase; If the volume is held constant, the increased speed of the gas molecules results in more frequent and more forceful collisions with the walls of the container, therefore increasing the pressure
Rate of diffusion
Amount of gas diffusing through a given area over a given time
Actual yield
Amount of product formed in a reaction
Theoretical yield
Amount of product that may be produced from a given amount of reactant(s) according to the reaction stoichiometry
What are the parts of an atom?
An atom consists of a small, positively charged nucleus surrounded by electrons
What does it mean to say an equation is balanced? Why is it important for an equation to be balanced?
An equation is balanced when the same number of each element is represented on the reactant and product sides. Equations must be balanced to accurately reflect the law of conservation of matter.
Half-reaction
An equation that shows whether each reactant loses or gains electrons in a reaction; Write the two half reactions representing the redox process; Balance all elements except oxygen and hydrogen; Balance oxygen atoms by adding H2O molecules; Balance hydrogen atoms by adding H+ ions; Balance charge by adding electrons; If necessary, multiply each half reaction's coefficients by the smallest possible integers to yield equal numbers of electrons in each Add the balanced half reactions together and simplify by removing species that appear on both sides of the equation; For reactions occurring in basic media (excess hydroxide ions), carry out these additional steps (Add OH- ions to both sides of the equation in numbers equal to the numbers of H+ ions; On the side of the equation containing both H+ and OH- ions, combine these ions to yield water molecules; Simplify the equation by removing any redundant water molecules); Finally, check to see that both the number of atoms and the total charges are balanced
Gay Lussac's law
Another term for Amontons's Law
Molecular Compound
Another term for covalent compound
Solution
Another term for homogeneous mixture
Noble gas
Another term for inert gas
Law of definite proportions
Another term for law of constant composition
Representative element
Another term for main group element
Covalent compound
Another term for molecular compound
Many of the items you purchase are mixtures of pure compounds. Select three of these commercial products and prepare a list of the ingredients that are pure compounds.
Answers will vary. Sample answer: Gatorade contains water, sugar, dextrose, citric acid, salt, sodium chloride, monopotassium phosphate, and sucrose acetate isobutyrate.
Matter
Anything that occupies space and has mass
Aqueous hydrogen fluoride (hydrofluoric acid) is used to etch glass and to analyze minerals for their silicon content. Hydrogen fluoride will also react with sand (silicon dioxide). (a) Write an equation for the reaction of solid silicon dioxide with hydrofluoric acid to yield gaseous silicon tetrafluoride and liquid water. (b) The mineral fluorite (calcium fluoride) occurs extensively in Illinois. Solid calcium fluoride can also be prepared by the reaction of aqueous solutions of calcium chloride and sodium fluoride, yielding aqueous sodium chloride as the other product. Write complete and net ionic equations for this reaction
Aqueous hydrogen fluoride (hydrofluoric acid) is used to etch glass and to analyze minerals for their silicon content. Hydrogen fluoride will also react with sand (silicon dioxide). (a) Write an equation for the reaction of solid silicon dioxide with hydrofluoric acid to yield gaseous silicon tetrafluoride and liquid water. (b) The mineral fluorite (calcium fluoride) occurs extensively in Illinois. Solid calcium fluoride can also be prepared by the reaction of aqueous solutions of calcium chloride and sodium fluoride, yielding aqueous sodium chloride as the other product. Write complete and net ionic equations for this reaction)
How do you calculate the number of protons?
Atomic number (Z) = number of protons
Mole
Atoms 6.022 * 1023
Isotopes
Atoms that contain the same number of protons but different numbers of neutrons
Covalent bond
Attractive force between the nuclei of a molecule's atoms and pairs of electrons between the atoms
Mean free path
Average distance a molecule travels between collisions
Atomic mass
Average mass of atoms of an element, expressed in amu
Acetate
CH3COO-
Barium
Ba+2
Weak base
Base that reacts only to a slight extent when dissolved in water to yield hydroxide ions
How are protons and neutrons similar? How are they different?
Both are subatomic particles that reside in an atom's nucleus. Both have approximately the same mass. Protons are positively charged, whereas neutrons are uncharged.
Bromide
Br-
Nomenclature
System of rules for naming objects of interest
A major textile dye manufacturer developed a new yellow dye. The dye has a percent composition of 75.95% C, 17.72% N, and 6.33% H by mass with a molar mass of about 240 g/mol. Determine the molecular formula of the dye.
C15H15N3
How do you calculate dilutions
C1V1 = C2V2
Oxalate
C2O4 -2
A compound of carbon and hydrogen contains 92.3% C and has a molar mass of 78.1 g/mol. What is its molecular formula?
C6H6
Cadmium
Cd+2
How to convert celsius to fahrenheit
Celsius = (5/9) * (Fahrenheit - 32)
How to convert celsius to kelvin
Celsius = Kelvin - 273.15
What did Chadwick discover?
Chadwick discovered that the nucleus also contains neutral particles called neutrons
Physical property
Characteristics of matter that is not associated with a change in its chemical composition
Properties
Characteristics that distinguish one substance from another
Complete ionic equation
Chemical equation in which all dissolved ionic reactants and products, including spectator ions are explicitly represented by formulas for their dissociated ions
Molecular equation
Chemical equation in which all reactants and products are represented as neutral substances
Net ionic equation
Chemical equation in which only those dissolved ionic reactants and products that undergo a chemical or physical change are represented
Balanced equation
Chemical equation with equal numbers of atoms for each element in the reactant and product
Analyte
Chemical species of interest
Chlorate
ClO3 -
The pressure of the atmosphere on the surface of the planet Venus is about 88.8 atm. Compare that pressure in psi to the normal pressure on earth at sea level in psi.
Earth: 14.7 lb in^-2; Venus: 1.31 × 10^3 lb in^−2
Ion
Electrically charged atom or molecule; Contains unequal numbers of protons and electrons; can be monatomic or polyatomic
Ionic bond
Electrostatic forces of attraction between the oppositely charged ions of an ionic compound
Representative element
Element in columns 1, 2, and 12-18
Alkali metal
Element in group 1
Pnictogen
Element in group 15
Chalcogen
Element in group 16
Halogen
Element in group 17
Inert gas
Element in group 18
Noble gas
Element in group 18
Alkaline earth metal
Element in group 2
Main group element
Element in groups 1, 2, and 13-18
Transition metal
Element in groups 3-12; Or more strictly defined as 3-11
Inner transition metal
Element in the bottom two rows
Nonmetal
Element that appears dull, poor conductor of heat and electricity; can gain the number of electrons needed to provide atoms with the same number of electrons as in the next noble gas in the periodic table
Metalloid
Element that conducts heat and electricity moderately well, and possesses some properties of metals and some properties of nonmetals
Which of the following gases diffuse more slowly than oxygen? F2, Ne, N2O, C2H2, NO, Cl2, H2S
F2, N2O, Cl2, H2S
How to convert fahrenheit to celsius
Fahrenheit = (9/5 * Celsius) + 32
Liquid
Flows and takes the shape of container, except that it forms a flat or slightly curved upper surface when acted on by gravity (will take the volume in zero g)
For a given amount of gas showing ideal behavior, draw labeled graphs of: (a) the variation of P with V (b) the variation of V with T (c) the variation of P with T (d) the variation of 1 P with V
For a gas exhibiting ideal behavior:
Pressure
Force exerted per unit area
Ideal gas
Hypothetical gas whose physical properties are perfectly described by the gas laws
How are the molecules in oxygen gas, the molecules in hydrogen gas, and water molecules similar? How do they differ?
In each case, a molecule consists of two or more combined atoms. They differ in that the types of atoms change from one substance to the next.
Actinide
Inner transition metal in the bottom two rows of the periodic table
Lanthanide
Inner transition metal in the top of the bottom two rows of the periodic table
Precipitate
Insoluble product that forms from reaction of soluble reactants
Scientific method
Investigating natural phenomenon through the question and observation to create laws or hypothesis which form theories; Hypothesis are then tested through experiments and theories are adjusted
Monatomic ion
Ion composed of a single atom
Polyatomic ion
Ion composed of more than one atom
Periodic table
Table of elements that places elements with similar properties close together
Potassium
K+
How to convert kelvin to celsius
Kelvin = Celsius + 273.15
Macroscopic domain
Larger, observable and measurable physical and chemical properties such as density, solubility, and flammability
Lithium
Li+
What properties distinguish solids from liquids? Liquids from gases? Solids from gases?
Liquids can change their shape (flow); solids can't. Gases can undergo large volume changes as pressure changes; liquids do not. Gases flow and change volume; solids do not.
Example of derived units
Liters (density and volume
Why should you roll or belly-crawl rather than walk across a thinly-frozen pond?
Lying down distributes your weight over a larger surface area, exerting less pressure on the ice compared to standing up. If you exert less pressure, you are less likely to break through thin ice.
How do you calculate molarity
M = mol solute / L solution
The amount of heat required to melt 2 lbs of ice is twice the amount of heat required to melt 1 lb of ice. Is this observation a macroscopic or microscopic description of chemical behavior? Explain your answer.
Macroscopic. The heat required is determined from macroscopic properties
Molar mass
Mass in grams of 1 mole of a substance
How do you calculate the mass number?
Mass number (A) = number of protons + number of neutrons
Nucleus
Massive, positively charged center of an atom made up of protons and neutrons
What is Dalton's atomic theory
Matter is composed of exceedingly small particles called atoms; An element consists of only one type of atom, which has a mass that is characteristic of the element and is the same for all atoms of that element; Atoms of one element differ in properties from atoms of all other elements; A compound consists of atoms of two or more elements combined in a small, whole number ratio; Atoms are neither created nor destroyed during a chemical change, but are instead rearranged to yield substances that are different from those present before the change
Pure substance
Matter with a constant composition
Root mean square velocity (urms)
Measure of average velocity for a group of particles calculated as the square root of the average squared velocity
Length
Measure of one dimension of an object
Mass
Measure of the amount of matter in an object
Volume
Measure of the amount of space occupied by an object
Percent yield
Measure of the efficiency of a reaction, expressed as a percentage of the theoretical yield
Symbolic domain
Specialized language used to represent components of the macroscopic and microscopic domains; Chemical symbols, chemical formulas, and chemical equations; Help to interpret the behavior of the macroscopic domain in terms of the components of the microscopic domain
Strontium
Sr+2
Kilogram
Standard SI unit of mass; 1 kg = approximately 2.2 pounds
Units
Standards of comparison for measurements
Indicator
Substance added to the sample in a titration analysis to permit visual detection of the end point
Product
Substance formed by a chemical or physical change; Shown on the right side of the arrow in a chemical equation
Oxidizing agent
Substance that brings about the oxidation of another substance, and in the process becomes reduced
Reducing agent
Substance that brings about the reduction of another substance, and in the process becomes oxidized
Acid
Substance that produces H3O+ when dissolved in water
Base
Substance that produces OH- when dissolved in water
Reactant
Substance undergoing a chemical or physical change; Shown on the left side of the arrow in a chemical equation
Empirical formula mass
Sum of average atomic masses for all atoms represented in an empirical formula; (AxBy)n = AnxBny
Formula mass
Sum of the average masses for all atoms represented in a chemical formula; For covalent compounds, this is also the molecular mass
Mass number (A)
Sum of the numbers of neutrons and protons in the nucleus of an atom; approximately equal to the mass of the atom
Law
Summarize a vast number of experimental observations, and describe or predict some facet of the natural world
Chemical equation
Symbolic representation of a chemical reaction
A 0.025-g sample of a compound composed of boron and hydrogen, with a molecular mass of ~28 amu, burns spontaneously when exposed to air, producing 0.063 g of B2O3. What are the empirical and molecular formulas of the compound?
The empirical formula is BH3. The molecular formula is B2H6.
The reaction of WCl6 with Al at ~400 °C gives black crystals of a compound containing only tungsten and chlorine. A sample of this compound, when reduced with hydrogen, gives 0.2232 g of tungsten metal and hydrogen chloride, which is absorbed in water. Titration of the hydrochloric acid thus produced requires 46.2 mL of 0.1051 M NaOH to reach the end point. What is the empirical formula of the black tungsten chloride?
The empirical formula is WCl4
Solubility
The extent to which a substance may be dissolved in water, or any solvent
Under which of the following sets of conditions does a real gas behave most like an ideal gas, and for which conditions is a real gas expected to deviate from ideal behavior? Explain. (a) high pressure, small volume (b) high temperature, low pressure (c) low temperature, high pressure
The gas behavior most like an ideal gas will occur under the conditions in (b). Molecules have high speeds and move through greater distances between collision; they also have shorter contact times and interactions are less likely. Deviations occur with the conditions described in (a) and (c). Under conditions of (a), some gases may liquefy. Under conditions of (c), most gases will liquefy.
International system of units
The international standard measurement units; Also called SI units
What is the limiting reactant in a reaction that produces sodium chloride from 8 g of sodium and 8 g of diatomic chlorine?
The limiting reactant is Cl2.
How does a homogeneous mixture differ from a pure substance? How are they similar?
The mixture can have a variety of compositions; a pure substance has a definite composition. Both have the same composition from point to point.
Fundamental aspects of chemical equations
The substances undergoing reaction are called reactants, and their formulas are placed on the left side of the equation; The substances generated by the reaction are called products, and their formulas are placed on the right side of the equation; Plus signs (+) separate individual reactant and product formulas, and arrow separates the reactant and product (left and right) sides of the equation; The relative numbers of reactant and product species are represented by coefficients
Explain why the symbol for an atom of the element oxygen and the formula for a molecule of oxygen differ.
The symbol for the element oxygen, O, represents both the element and one atom of oxygen. A molecule of oxygen, O2, contains two oxygen atoms; the subscript 2 in the formula must be used to distinguish the diatomic molecule from two single oxygen atoms.
In the following drawing, the green spheres represent atoms of a certain element. The purple spheres represent atoms of another element. If the spheres of different elements touch, they are part of a single unit of a compound. The following chemical change represented by these spheres may violate one of the ideas of Dalton's atomic theory. Which one?
The starting materials consist of one green sphere and two purple spheres. The products consist of two green spheres and two purple spheres. This violates Dalton's postulate that that atoms are not created during a chemical change, but are merely redistributed
Chemistry
The study of the composition, properties, and interactions of matter
10 atoms
deca-
Freon-12, CCl2F2, is prepared from CCl4 by reaction with HF. The other product of this reaction is HCl. Outline the steps needed to determine the percent yield of a reaction that produces 12.5 g of CCl2F2 from 32.9 g of CCl4. Freon-12 has been banned and is no longer used as a refrigerant because it catalyzes the decomposition of ozone and has a very long lifetime in the atmosphere. Determine the percent yield.
gCCl4 ⟶ molCCl4 ⟶ molCCl2F2 ⟶ gCCl2F2, percent yield=48.3%
7 atoms
hepta-
6 atoms
hexa-
4 atoms
tetra