MCAT - Chemistry and Physics
Bernoulli's Equation
P1 +1/2 ρv_1^2+ρgh_1= P_2+1/2 ρv_2^2+ρgh_2 P : absolute pressure of the fluid v: linear speed h: height of the fluid Increase in velocity, decrease in P (For constant h); No viscocity
Density of mixture formula
P1*V1/Vtotal + P2*V2/Votal
Ionization energy of N vs. O
The ionizaiton enegy of N is larger than O, due to the electron repulsion from oxygen's additional electron in the already half-filled 2p orbital
Destructive Interference
A wave that is flipped across the x-axis will have equal and opposite amplitudes at each poing along the wave, causing total descructive interference. One that is half phase shifted will only be partiallly canceled
Intensity
Amount of power (energy per unit time) delivered per unit area. The intensity of EM radiation increases with higher individual photon energy and higher emission rate (number of particles emitted per unit time)
Concave Mirror (Real = Left)
Converging; dI can be real or virual; df > 0; If real then same side & inverted; Larger if between r + f OR Smaller if greater than r; If virtual then opposite side & upright & smaller
Phototransduction
Conversion of light energy into neural impulses that the brain can understand Light is converted into electrical signals in the rods and cones and photoreceptor ganglion in the eye
Theoretical yield
Mols of Limiting Reagent * MM of product to be determined
Reduction potential
More positive = more spontaneous reductions; More negative = more non-spontaneous reductions; Reduction potentials don't depend on mols
Supersaturated
More than max amount of soltue in solvent; Solids becasue more soluble as T increases; Heat to dissolve more then cool; If we try to add more oslute, nucleation site; Crystalization will form
Electrical conductors vs electrical insulators
Most metals are conductors, most nonmetals are insulators; There are also thermal conductors and insualtors (H is propotional to the A*T(Change)/Distance)
L vs. D
Most oxidized at the top of Fischer. L is left and D is right. Dextrarotary isomers rotate polarized light clockwise. Levorotatory rotates polarized light counterclockwise.
Phototaxis
Movement of an organism towards or away from light
Magnificiation of Multiple Lenses
Multi-lens systems arranged in series provide a combined magnification equal to the product of all the individual lens magnifications
Washing solvent after recrystalization
Must be able to dissolve impurities to get rid of them. Must be cold to not dissolve any of product.
When using ideal gas law, what units is Volume in?
Need to convert volume to m^3 = 1000L
Where do ions in salt bridge flow?
Negative ions go to the anode. Positive ions go to the cathode. Salt bridge is only needed in galvanic cell.
Continuity Equation
Q = AV; Assume incompressibility; As cross sectional area decreasing from plaque, velocity increases, and thus pressure inside arteries decreases)
Q in relation Ksp
Q is the ion product or reaction quotient; Q<Ksp then unsaturated; Q>Ksp then saturated
Mass flow rate (Mass / Time)
Quanity of fluid that flows through a point at a given time; It is equal to Q * density (or Mass Concentration) ; Mass / Time = (Volume / T)(Mass / Volume)
Common ion effect
Solubility decreases when one of its component ions is present; Solute can precipitate if the solubility is lowered (common ion or a change in T+P)
Temperature & Solubility for Liquid
Solubility increases at T increases; With decreasing T, air can hold less water; Colder air can hold less H2O so the same relative humidity would result in less total water in the air
Van't Hoff plot
lnKa = -H/R (1/T) + S/R ; Graph is lnKa vs. 1/T ; Positive slope for exothermic reaction and negative slope for endothermic reaction ; Can determine Delta G by using the equation G = H - TS
Osmotic Presssure
n = iMRT
Exponential Decay in Nuclear Reactions
n = no*e(^-wavelength*t); e is Euler's number (Radioactive decay is proportional to the number of nuclei that remain) Kahn Academy Fomula: N(t) = No*e^-kt - t is the half life in years - solve for k
What do EWG & EDG do?
EWG - Helps stabilize the conjugate base, thus decreasing pKa of acid. EDG - Destabilize the conjudgate base, thus increasing pKa of the acid
What kind of solvent is acetone?
Polar Aprotic Solvent!
Induced Dipole
Polar molecule induces a non-polar molecule to become temporarily polar
Chromophore
Portion of molecule's structure which absorbs visible light protons, causing the molecule to have color.
Biconvex vs biconcave Lens
Biconvex = converging (f>0); biconcave = diverging (f<0)
Mechanical Advantage of Pulleys
# Vertical Ropes = Mechanical Advantage for Pulleys - MA is related to the number of load-sharing pulleys, but unrelated to the number of fixed pulleys that redirect forces. - There is no mechanical advantage for a single pully system (Load = Effort = Tension (opposite) - In multiple pully system, Load / (# ropes) = Effort = Tension. - Each of the tension forces on the ropes cancel out half of the load weight. - The effort required to lift the load weight is cut in half. - Displacement will increase by 2, but effort needed will decrease by 2, as the W is the same
Efficiency
% = W out / W in
Yield for coupling steps
(%)^# steps ; (% lost each round)*# of rounds = % Lost
Percent dissociation
(H+)/(HA) = % dissociated; If pH is given, then H+ = 10^-pH
Flow
(L/s) Measure of volume per unit time
Geiger counter
- A device that uses a gas-filled metal tube to detect radiation - Radioactive decay; noble gas that has lost an electron
Nickel-Cadmium Battery
- A type of rechargeable battery using nickel oxide hydroxide and metallic cadmium as electrodes. - Cathode of Nickel; Anode of Cadmium - 2NiOOH + Cd + 2H2O <-> 2Ni(OH)2 + Cd(OH)2 - Oxidation: Cd + 2OH <-> Cd(OH)2 +.2e- - Reduction: NiOOH + H2O + 2e- <-> Ni(OH)2 + OH
Surfactant molecule
- Amphipathic & surround a micelle of oil. Reduce the surface tension of a liquid - Pulomary surfactatn reduces surface tension in the alveoli, allowing them to remain inflated when the lung is compressed during respiration - Reduces the H-bonds between water molecules at the surface and reduces surface tension. - Ex: Detergents (SDS) or solubilize liquids
Synthesis of Anhydrides
- Anhydrides are commonly formed when a carboxylic acid reacts with an acid chloride in the presence of a base - Heat is used to drive the reaction forward in the synthesis of anhydrides
P, T, & mols in Vacuum
- As vacuum is pulled, the pressure in the container drops, resulting in sub-atomospheric pressure. - There are fewer gas and molecules at the surface of the melted solid. - Molecules are more likely to escape. - Vapor Pressure = Atmospheric Pressure (which is at a Lower Temperature) - Compound will boil at a lower temperature
Mercury column
- Atmospheric Pressure = Gauge Pressure - Atmospheric pressure = density * g * h - Height of mercury column serves as indicator of atmospheric pressure (High height means high atmospheric pressure)
Coordination Complexes
- Central metal atom surrounded by one or more ligands (2, 4, or 6 coordinate bonds). - Stronger Lewis bases (Charged Oxygen, Additional lone Pair e-, Donates electrons, Lower electronegativity) can displace weaker Lewis bases as ligands within the complex. - Can occur in a series of steps, as each anion can replace the existing lewis base. - The nature of the ligands in a coordination sphere causes the metal's d orbitals to have different energies. The energy difference determines the wavelength of light absorbed.
Chromatic abberation
- Chromatic abberation refers to the formation of blurry images due to the effects of dispersion through a lens. - Failure of the lens to focus multicolored light onto a single point. - Chromatic dispersion in converging leses is corrected by using a diversing lens to increase the thickness of lens periphery - Only in lens, not mirror
Temperature for Condensation
- Condensation will occur at a lower temperature, as the gas molecules will have less KE and will condense into the liquid phase. - At higher temperatures, however, higher pressures are required for condensation to occur.
Eye and optics
- Convex structures of eye produce convergence of diverging light rays that reach eye - Image distance is constant (lens to fovea); while f can change; Light coming in should be focused on fovea and retina, which is 20mm from lens
Temperature affecting water vapor
- Decreasing temperature of water means water vapor is turning into a liquid at higher atitudes and thus less H2O gas at higher altitudes - Lower temperature means lower KE and thus less water as gas - There will be more liquid and less gas thus air will have less mass of H2O - At higher temperatures, water molecules are more likely to go into vapor phase so there will be more water vapor in the air
Nitrogen
- Diatomic nitrogen is inert and makes up 80% of atmosphere; stable triple bond; - - Air bubbling in water will only react with CO2 and not Nitrogen - For a purified compound, can react in pure nitrogen (so there is no O2 gas)
Solute affecting BP Solute affecting VP
- Dissolving ions will increase the bp of the solution; Solution will reach a higher temperature before boiling - Adding a non-volatile soltue will cause the solution to have a lower vp; Less molecules will escape, as the solute will take up space
Spherical abberation
- Due to the geometry of a spherical lens. Light rays near the edge refract more than predicted for an ideal lens. - All frequencies of light are affected by spherical abberations. - Spherical aberration of a converging lens is corrected by reducing the thickness of the lens periphery, as the light rays are excessively refracted at the lens periphery (& converge too close)
Sound waves vs EM waves
- EM waves are transverse (Oscillations are perpendicular to direction of propagation); - Sound waves are longitudinal/compression (Particles are in same direction as propagation and energy of wave) - All waves carry energy - Only EM waves propogate in vacuum
Vertical Circular Motion Normal Force
- FN = mg - mv^2/r (On top of loop) - FN = mg + mv^2/r (On bottom of loop) - FN = mv^2/r - mg (Inside loop)
Viscous Flow
- Flows in which the frictional effects are significant. - Where there is contact, water moves slower
Fraction submerged of floating object
- Fraction submerged = Displaced volume / Object volume = Object density / Fluid density - Fb=Fg, but density(object)<density(liquid)
Electrochemistry and Thermodynamics Equation
- G = -nFEcell - G = -RTlnKeq
Nernst Equation
- How electric potential is affected by T and concentration of reactions - E'cell = E - RT/zF lnQ - E' = E - 0.05916/z logQ - As products increase then E' decreases
Impurities in Titration
- Impurities that undergo the same oxidation-reduction behavior as the analyte cannot be distinguished from the analyte and decrease the accuracy of the measured equivalency point in a redox titration. - The oxidation will consume additional titrant and thus will cause more titrant to neutralize the solution
How do outer hair cells amplify the frequency of the basilar membrane?
- In order for the standing wave generated by the outer hair cells to amplify the resonant frequency of the basilar membrane, it will have to match it to produce constructive interference. - The fundamental frequency of the standing wave at each location along the organ of Corti should match the basilar membrane resonant frequency at that same location.
Intra vs. Intermolecular forces
- Intramolecular (stronger) = covalent and ionic - Intermolecular = H-bond, LDS, hydrophillic polar molecules, ion-dipole (surface tension, boilng point)
Viscocity
- Intrinsic property that characterizes the amount of friction resisting motion inside the fluid itself - KE in fluid flow is dissipated by viscous shear force acting between different layers of fluid flow (Pa * s) - Increase T decreases viscocity
pKa & Ka
- Ka is dissociation constant; Larger Ka = Smaller pKa = Stronger acid - pKa = -log(Ka) - Ka = 10^-pKa
Conditions for turbulent flow?
- Larger the reynolds number, the more likely turbulent flow. - Reynolds number decreases with viscocity and increases with diameter. - When velocity surpasses the critical velocity, then turbulent flow.
Density & Pressure in liquid vs gas
- Liquid: P = h*density*g - Gas P = density*R*T - Hydrostatic pressure for liquids is linear because as depth changes, the density of liquid remains constant - Gases are compressible and have densities that change according to forces applied to them (Non-linear behavior)
Biological mechanisms of enviornmental heat transfer
- Lung: Body heat transfered to inhaled air (conduction) & Warmed air exhaled into enviornment (convection). - Skin: Increased thermal conduction with vasodilation
Multistage Flash Distillation
- Method of distillation used to desalinate seawater; cold seawater is run through a series of coils in chambers that become progressively hotter - Superheated water enters at a high temperature and is passed through a series of flash chamber held at lower pressures. - As the water cools, pressure must be lowered so that the boiling point at that pressure is lower than the temperature of water. - This causes the water to boil again. - Water needs to have lower bp than impurities in order for it to enter the vapor phase.
Thin-Film Interference
- Multicolored arrays generated by the reflection events that occur within a a system composed of two layers of semitransparent media. - Interference occurs due to differences in travel path of the light. - Surface tension and other effects that distort the surface / thickness of a fluid may cause variations in color.
Shock wave therapy (Shock wave ultrasound)
- Non-imaging treatment! - Utilize high frequency waves to cause destructive, high-amplitude vibrations within target structures. - Small wavelengths of UV waves allow them to propogate body tissues w/o diffracting. - For maximum effectiveness, the frequency of the shock wave should match the resonance frequency of the target structure. - When f=fo, high-amplitude vibrations occur. - Allows user to adjust the frequency of the emitted shock wave to ensure effectiveness
Electroplating
- Non-spontaneous reduction is driving by electical current; Results in deposition of solid metal into cathode - molmetal = I*t / nF
What happens to pressure when open to atmosphere
- Opening will cause a decrease in pressure - To balance out decrease in P, the blood must experience an energy increase somewhere else - Specifically it will increase its kinetic energy and fluid speed
Redox Titrations
- Permangenate (Purple) to Manganese Cation (Clear); MnO4- + Sn2+ -> Mn2+ + Sn4+ -> See purple again, then there is no more Sn2+ to react with - Equivalence point depends on the number of electrons absorbed and donated - Multiply each side by the change in oxidation state! (M1V1*change in oxidation state)
Heat for phase transition
- Phase transition is the only process that requires a change in heat to maintain the same temperature - q = m*(heat of vap/fusion)
The Gabriel Synthesis Steps
- Phthalimide attacks the diethyl bromomalonate, generating a phthalimidomalonic ester - the phthalimidomalonic ester attacks the alkyl halide, adding an alkyl group to the ester - the product is hydrolized, creating phthalic acid (with two carboxyl groups) and converting the esters into carboxylic acids - one carboxylic acid of the resulting 1.3-dicarbonyl is removed by decarboxylation
Solvents for Sn1 vs Sn2
- Polar protic solvents (water and ethanol) tend to stabilize ions in solution (SN1). - Polar aprotic solvents (acetone) should be used for SN2. SN2 do not rely on carbocation, but on a strong nucleophile displacing the leavin group. Polar solvents tend to weaken this nucleophile so should not be used.
Density and Pressure Relationship for Gases
- Pressure = density * R * T - Density and Pressure are directly proportional - Density and Temperature are inversely proportional - Temperature and Pressure are directly proportional
Stereoselectivity
- Property of a chemical reaction in which a single reactant forms an unequal mixture of stereoisomers. - Chiral reagents are efficient stereoselective reagents - One is the major, one is the minor - If it is 50%, 50%, then NOT stereoselective (mCBPA epoxidation) - If it is 98%, 2% then stereoselective (Sharpless epoxidation with DET
Relative humidity
- Ratio of partial pressure of water vapor to the equilibirum vapor pressure of water at a given temperature - Same amount of water vapor results in higher relative humidity in cool air than warm air - Same relative humidity, cold air has less mass of water - How much water vapor is in the air compared to how much it could hold at that temperature
Coordination complex
- Reverse of common ion effect and increasing ability to dissolve - Formed through the reaction of a transition metal cation with a ligand
How does a sonar work?
- Sends pulses of sound waves, which hits a surface and then is reflected back to the surface. Allows judgement of depth by how long it takes to return. If it takes a longer time to return, then it is farther away. - To measure the speed of a glider using sonar, you can calculate the change in time between the two waves coming back. The greater change in time between the two waves leads to a greater calculated velocity.
Sounds
- Sound is caused by the vibration of molecules that travel as pressure waves through a medium (and thus can't propagate through vaccum): - Vibration/Displacement of molecules in a medium due to movement of longitudinal waves (compression sound); SPEED, FREQUENCY, AMPLITUDE
Specific rotation of chiral compound
- Specific rotation = observed rotation / concentration * length - Enantomeric excess = observed optical / specific rotation * 100
Bernoulli's Relationships
- Static/absolute pressure decreases with increasing velocity if height is constant, but increase in dynamic pressure - An increase in speed occurs simutaneously with a decrease in static pressure or PE - An increase in height, results in a decrease in pressure
Surfice active molecules
- Surfactants (surface active molecules) adsorb and break the strong cohesive water-water interactions. - The intermolecular forces between surfactant and water molecules are much lower than between two water molecules so surface tension decreases. - Strength of interaction between water and oil and oil-water interface are weaker, as they are forces created by induced polarity in nonpolar molecules. - The hydrophobic part is in the air (hydrophobic cap) and hydrophilic in the water.
Henry's Law
- The amount of dissolved gas in a liquid is proportional to its partial pressure above the liquid - Concentration of gas = kh * Pgas - For solids and liquids, pressure does not affect solubility
Mass Flow Rate
- The amount of mass flowing through a cross section per unit time - kg/s - To find the power, Multiply Mass Flow rate by the Specific Heat Capacity by the Temperature needed. - Q = mass * c * change in T - Power = mass flow rate * c * change in T
Oxygen at High Altitudes
- The percent of oxygen is the same as at sea level (21%), however air pressure is 30% lower at high atitudes, due to the fact that the atmosphere is less dense - air molecules are further apart - There is less pressure to push the molecules together - The number of oxygen molecules per breath is reduced (fewer oxygen molecules in the same volume of air we inhale) - The volume of a mass of air is not constant
Hydrostatic Pressure
- The pressure fluid molecules in a static column of fluid exert on eachother and surroundings - Higher P to lower P - P results from the weight of the fluid above - Container shape does NOT influence hydrostatic pressure in a column of noncompressible fluid with constant density
What will happen to water level when you throw a rock off a ship?
- The water level will fall. - The water displaced at first is larger than the water displaced after. - This is because the rock will sink to the bottom, so the buyoant force will be less. - The buoyant force afterwards is less, thus there is less water displaced.
Projectile Motion
- There is no gravity in the horizontal direction. There is only gravity effecting the vertical direction. If the initial velocity is horizontal, the rocket will decend at the same rate and spend the same time in air. Sin(0) = 0 - Max height = v^2 / 2g - Total time = 2v / g
Galileo thermometer
- This thermometer is only useful for measuring temperatures around 16 to 34 degrees Celsius - As temperature of a liquid increases, volume expands, and density decreases. Bulbs with higher temperature (lower density) will sink last. Bulbs with lower temperature (higher density) sink first.
Hyperopia
- Uncorrected: Eye too short or optical power too low. Image forms behind focal plane of retina. - Corrected: Does not diverge enough, so place a converging lens. Converging lens increases optical power. Image now forms on focal plane of retina (Image shifts closer to eye's lens).
Myopia
- Uncorrected: Image forms in front of the retina as rays converge too much. - Corrected: Place a diverging lens to shift the image away from the lens.
How to calculate the amount extracted?
- Use the partition coefficient for extraction - If there are 10 g of substance, then X g will be found in the organic layer & 10-X g will be found in the aqueous layer. - If there are two rounds of extraction, (10-X) is used as the starting material for the aqueous layer.
Metal oxides
- Vast majority of metal oxides are solid at room T - Basic - They typically react with water to form bases or with acids to form salts. MO + H2O → M(OH)2 - Only soluble with group 1A metals
H-H Equation for Buffers
- Weak acid and CB; Weak base and CA - Strong acid + weak base -> Strong acid protonate base - Strong base + weak acid -> Strong base deprotonate acid - ANY TIME there is a weak acid or base, use H-H equation for BUFFER - May need to find the limiting reagent and use ICE table to find the respective concentrations
Charging a Battery
- When charging a battery, an external potential must be applied to force the oxidation-reduction reaction in the nonspontanous direction. - The reverse reaction requries more than the potential produced by the battery because of internal resistnace - Decomposition reactions are electrolytic
X-ray Diffraction
- X-rays diffract within molecules because the space between atoms is comparable to the wavelengths of x-rays. - X-rays can't undergo classic slit diffraction (wavelength too small). - X-ray diffraction through a sample of purified and crystallized material can be used to determine its 3-D molecular structure and packing. - The patterns of bright spots produced on photographic film is indicative of molecule's 3D structure.
Effective nuclear charge
- Zeff = protons - S (shielding electrons); increases across a period - The net positive charge experienced by valence electrons
Finiding volume of solution containing solute
- mol/mL: n = CV ; V = n / C ; - g/mL: You can divide m / C = V (If the concentration is in g/mL instead of mol/mL)
Parts per million vs Parts per billion
1 parts per million = 1,000 parts per billion
Poiseuille's Law
-Calculates rate of flow through a pipe of confined space (laminar flow) Q= (πr^4 ∆P)/8ηL η: viscosity of the fluid Q: flow rate (volume flowing per time) ΔP: pressure gradient r: radius of tube L: length of tube Flow rate is proportional to radisu^4
Sn1 vs Sn2 solvents
-Sn1 = polar and protic -Sn2 = non-polar and aprotic
Dielectric material
-insulator (air, glass, plastic) -introduced b/w the plates of a capacitor - increases capacitance by a factor called dielectric constant (k) - Increase capacitance; decrease electric field; decrease voltage (charge is constant)
Two rules for action-reaction pair
1) Must be the same type of force 2) Must act on different objects - The normal force is NOT an action-reaction pair
Calories to kJ (Heat Energy)
1,000 cal = 4.2kJ ; Specific heat of water = 1cal/gC
Isolating an Ionic Subststance
1. Add a salt (NaCl or KCl) to help the substance crystalize by forming an ionic solid. 2. Add a solvent that is miscible with water. Ethanol is miscible with water but still less polar. The crystals can easily precipitate
Types of radioactive decay (irreversible)
1. Alpha: alpha particle containing 2 protons & 2 neutrons are emitted 2. Beta-minus: a neutron goes to proton and electron ejected (to maintain charge) 3. Beta-plus: proton goes to neutron and positron emitted 4. Electron capture: proton to neutron and grabs electron 5. Gamma decay: ionizing radiation, emit high energy photon from excited nucleus
Nomenclature Functinal Group Priority
1. CA (carboxy or oic acid) 2. Aldehyde (oxo or one) 3. Alcohol (hydroxy or ol) 4. Amine (amino or amine)
Solubility Rules: Insoluble
1. Carbonates (CO32-), phosphates (PO43-), Sulfides (S2-), Sulfites (SO32-) EXCEPT with alkali 2. Metal oxides & hydroxides are insoluble (MnOm) except with Ca,Sr,Ba
How to find Avogadro's Number?
1. Charge per electron / Charge per mol of electrons = 6.02 * 10^23 electrons per mol. 2. Mol * number of particles = 6.02 * 10^23 electrons per mol
How to seperate enantiomers?
1. Chiral Chromatography & Resolving Agents: Chiral column chromatography with a chiral stationary phase. Use substances which interact differently with one enantiomer than the other & must introduce one or more chiral compounds. 2. Resolution by recrystalization: Chiral reagent is used to form two distanct diastereometric salts, whicha are then recrystalized seperatetly
Properties of gas
1. Compressible 2. No fixed V or shape 3. Flows easily 4. Occupies more space
Hot air vs Cold air
Hot air rises and cold air sinks, becasue cold air is more dense than hot
Extraction of Amines, CA, Phenols
1. Extraction of amines: Dilute acid (5% HCL) will protonate the functional group, forming a + charged ion. Resulting cationic salts are freely soluble and can be removed. 2. CA: Weak base (5% NaHCO3) converts acid into salt 3. Phenol: Dilute base (10% NaOH) will convert phenols into corresponding salts & also extract CA
What conditions need to be true for a doppler effect?
1. Fluid needs to be moving 2. The moving fluid/object needs to be moving at a different velocity than the sound source 3. At least some of the componenet of the fluid's velocity must exist in the same directional plane as the wave's velocity
Number of Nodes/Antinodes in Closed Tube
1. Fundamental: 1 node, 1 antinode 2. 1st Overtone: 2 nodes, 2 antinodes 3. 2nd Overtone: 3 nodes, 3 antinodes
Number of Nodes/Antinodes in Open Tube
1. Fundamental: 1 node, 2 antinodes 2. 1st Overtone: 2 nodes, 3 antinodes 3. 3rd Overtone: 4 nodes, 5 anitnodes
Configurational Isomers
1. Geometric (Cis-Trans) 2. Optical (Enantiomers)
Diol Reactions
1. How to make a diol? - OsO4 to the double bond - KmnO4 & OH- to the double bond 2. How to make an aldehyde from a diol? NaIO4, Pb(OAc)4, HIO4 (Cleaving diol to make aldehyde)
What decreases blood viscocity?
1. Hydration (Higher volume, lower contents) 2. Anemia (less RBC) 3. Blood-thining medication
Strengths of Ionic Species
1. Neutral salts formed from strong acid + strong base 2. Acidic salts formed from strong acid with weak base 3. Basic salts formed from weak acid with strong base 4. Salts formed from weak acid and weak base must be determined by calculation
Lewis Dot Structure
1. Obey octet rule 2. Molecule needs to have correct number of total valence electrons 3. Molecule needs to have the same net charge as written
Compound Microscopes
1. Objective converging lens produces an inverted real image. 2. Eyepiece converging lens produces a larger inverted virtual image (But it is erect with respect to the first image formed). If second image is dependent on the first image. If the first image is inverted, it is a real image. If the second image is inverted, it is a virtual image, as it is upright with respect to the first image.
Nucleophilicity factors
1. Solvent - increase down a group in polar protic 2. Charge - negative charge 3. Stereics - less bulky 4. en - as en increases, nucleophilicty decreases
Properties of liquids
1. Takes shape of container 2. Definite Volume 3. Does NOT expand (incompressible) 4. bp above room T 5. Flows easily
Colligative properties
1. Vapor P Reduction 2.Boiling P Elevation 3. Freezing P Reduction 3. Osmotic P Deal with molality
Solubility Rules: Soluble
1.Alkali metals are always solutble (and NH4+) 2. Nitrate (NO3-) chlorate (ClO3-), acetate (CH3CHOO-) always soluble 3. Halides usually soluble except with Ag,Pb,Hg 4. Sulfate (SO42-) usually soluble except with Ca, Sr, Ba, Pb
How to decrease solubility of saturated solution?
1.Cooling a beaker and remove X via precipitation 2.Adding additional solvent to decrease concentration X 3. Adding a salt with common ion to compound X would decrease solubility via common ion effect 4. Increasing the pressure would cause solute to precipitate out (Le chatelier principle shift to less number of mols) 5. Coordination complexes and reacting with a solute's product ions
Six phase changes
1.Melting or fusion (Solid to liquid) 2. Evaporation (liquid to gas) 3. Sublimation (solid to gas) 4. Condensation (gas to liquid) 5. Freezing (liquid to solid) 6. Deposition (gas to solid) - Heat involved is q = m*(heat of phase change) - Heat added to a phase change will NOT raise temperature as it is an isothermal process
Kinetic molecular theory
1.Small particles move quick+randomly 2. Negligible attractive forces 3.Most of V of gas is empty space 4.Ave KE is proportional to T 5.Particles are in constnat motion 6. Gaseous mixtures do not act differently from pure gases
Type of isomers
1.Structural 2. Configurational a. Stereoisomers (cis-trans) b. Optical isomers (enantiomers and diastereomers) 3. Conformational (Same compound)
Lens Maker Equation
1/f = (n-1)(1/r1-1/r2); Same side as object then R is negative; Opposite side as object (outgoing light) then R is positive; R1 is the radius that it hits first; R2 is the radius of outgoing light
Ideal simple machines
100% efficiency, meaning that input work is used to produce output work; Levers, pulleys, incline planes act to modify the magnitude or direction of applied force
Phase DIfferences
180 = Complete Destructive, 90 = Partially out of phase, 0 = Complete Constructive
Density of water
1g/mL = 1g/cm^3 = 1kg/L = 1000 kg/m^3 (Something that is half as dense will be half submerged)
DENSITY OF WATER
1g/mL = 1g/cm^3 = 1kg/L = 1000kg/m^3
Range of Human Hearing
20Hz to 20kHz, so anything greater than 20kHz is ultrasound
Ratio of Radioactive Decay Formula
2^n-1 = Ratio of Decay, where n is the number of half lives
Equation number of orbitals in E level & subshell
2l+1 for subshell; n^2 for energy level
Trigonal bipyramidal molecular geometry
5 coordinate ligands (120 and 90 degrees); Trigonal bipyramidal, see saw (1 lone pair), T-shaped (2 lone pairs), linear (3 lone pairs)
Octahedral moleculear geomtry
6 coordinated ligands (90 degrees); Octahedral, square pyramidal (1 lone pair), square planar (2 lone pairs)
Phenolphthalein pKa
9.3; When conducting strong base and weak acid titration, the end point will be at a pH greater than 7; Reversible change in protonation state of indicator so the pKa of a chosen indicator should be within +/- unit of target pH
Diagonal Polarization
A wave polarized along the x-axis totally in phase with a wave polarized along the y-axis produces a combined wave that is polarized between the x and y axes at 45 angle.
Resolving agent
A chiral molecule that can change the physical properties of enantiomers to create a pair of diastereometers. The resolving agent is removed once the diastereometers are seperated to yield the original molecules as single enantiomers. Enantiomers have the same physical and chemical properties.
Stereospecific
A given starting material produces only one product. Ex: Halogenation of alkenes is an anti-addition reaction
Ionization energy and reactivity
A higher IE makes the compound less reactive. Elements with a lower first ionization energy are easier to ionize in reactions than elements with a higher ionization energy
Strecker synthesis
A method of synthesizing amino acids that uses condensation between an aldehyde and hydrogen cyanide, followed by hydrolysis.
Molecule vs Compound
A molecule is any arrangement of two or more atoms that, as a whole, has its own properties. A compound is a type of molecule that consists of two unique elements.
Extraction prodecure
A molecule's charge or polarity may be modified to increase or decrease affinity for a solvent. DNA can be precipitated by neutralized its charge. Hydrophobic into organic layer and polar/charged into aqueous layer.
Compton scattering
A photon loses energy to an electron when it undergoes compton scattering (and increases in wavelength). The percent change in wavelength = (1-costheta)*100% ; Final wavelength = initial + change in wavelength
Mass Spectrometry analysis
A plot of ion mass abundance vs. m/z ratio is generated; fragments of the sample can be identified by the m/z difference between two peaks in the mass spectrum. For a singly charged protonated ion, one data peak would be observed with a molecular weight one unit greater than the unprotonated form
Abscissa vs. Ordinate
Abscissa is the x-axis. Ordinate is the y-axis.
IR Spectroscopy
Absoprtion of light directly into chemical bonds; specific wavelegnths depending on the bond; The stronger the bond, the higher the vibrational stretching frequency
Types of Sound Attenuation
Absorption, Refraction (Change in direction), Scattering (Non-unifrom manner)
Half life equation
Amount lost = 1-0.5^n vs. Amount remains = 0.5^n
Ketal / Acetal hydrolysis
Acidic conditions and the presence of water; Not in basic conditions as there would need to be the loss of an alkoxide leaving group
Acyl Bromide Formation & Bromination
Acyl Bromide Formation: Add PBr3 & Br2 to carboxylic acid. Bromination: Bromination adds bromine to the double bond of the enol form. Add to alpha Carbon.
Calculating Mass of Hydrated Solution
Add the molar mass of the water solution to the molar mass of the compound. Multiply the total molar mass by the number of mols of the compound.
Solute effect on bp & vp
Adding solute decreases vp -> Greater KE required for which water molecules can break through liquid surface -> More energy needed to reach external pressure -> Increases bp
Adibiatic vs. Isothermal on Graph
Adibiatic curve is steeper; The magnitude and work done for isothermal is greater
Latent Heat of Fusion
Amount of energy needed for the fusion (melting) of 1 unit of mass. (J/kg). Smaller latent heat of fusion means it will melt more.
Formula for alkane, alkene, alkyne
Alkane: CnH2n+2; Alkene: CnH2n; Alkyne: CnH2n-2
Electron Donating Groups
Alkoxide, Hydroxy, Ester, Alkyl, Amide, Amine, Alkoxy
Double-displacement reaction
All of the oxidation states do not change
Amino acid titrations
Amino acids are diprotic acids with two acidic hydrogens; For polyprotic acids, an acidic H will produce an inflection point only if it is is acidic and if the pKa differs from any other acidic hydrogen of the acid by 10^4
Ammeter vs Voltmeter
Ammeters measure current and are connected in series; Volmeter are used to meter voltage drop so wired in parallel; Both have zero resistance
Atomic light emission
An electron is excited by absoprtion of energy and releases light (emits photon) when it relaxes to original energy state
Inertia
An object's inertia is proportional to its mass and it is the tendency of an object to resist changes to its speed. Due to the brain's inertia, the brain can continue to move independent of the skull and result in a contrecoup injury.
Doppler Effect
An observed change in the frequency of a wave when the source or observer is moving f' = fo (vsound+vobserver / vsound+vsource) ; fo is source frequency ; vsound is usually 340m/s ; if source or observer is stationary then velocity is 0
Anode vs. Cathode electrolytic cell
Anode is positive (higher potential); Cathode is negative (lower potential); In SDS, DNA migrate towards the anode
Permitivity
Any form of matter has a permitivity that is higher than that of free space
Cylinder
Area = 2*pi*r^2 + 2*pi*r*h ; Volume = pi*r^2*h
Sphere
Area = 4*pi*r^2 ; Volume = 4/3*pi*r^2
Thermodynamic Reason Behind Protein Denaturation
At high temperatures, the combination of an unfavorable entropic state and high temperature causes delta G to rise and become unstable.A folded protein is a highly unfavorable entropic state, which will become even more unfavorable at high temperatures.
Atmospheric Pressure
At sea level: 1atm, 10^5 Pa, 100kPa, 750mmHg, 760Torr
Vibrational modes
Atoms within a molecule exhibit continual vibrational motion. If the vibrational motion of a bond causes a transient, unqual distribution of electron density between the atoms within the bond, an oscillating dipole will form. If a net change in dipole is produced by a particular vibrational mode, the vibration is IR active. It will absorb IR light at particular frequencies proportional to the frequency of bond vibration
Hydration or solvation
Attractive force of an ion molecule cause a thin shin of water to surround it. H+ never exists in solution alone, it usually exists with H3O+.
Calculate MRI strength
B = uoI/2r; Increase radius decreases strength; increase current and resistance increases strength
Magnetic field inside solenoid
B = uonI, where n is the number of turns per length
Decarboxylation reactant
Beta-dicarbonyl compounds undergo decarboxylation to remove CO2
Tension at Base & Apex of Cochlea
Base has higher T & lower thickness and is displaced more by higher frequency. Apex has lower tension & higher thickness and is displaced more by lower freqency.
Powering Battery reaction
Batteries convert chemical energy to electric energy to kinetic energy to thermal energy
Velocity & Pressure in Blood
Blood is non-ideal fluid, so Venturi effect does NOT apply. When blood vessel is constricted, area is decreased, velocity is increased AND pressure is increased.
Fractional Distillation
Boiling points of the compounds to be seperated are within 25 degrees celcius of each other
Nonbonding electron transition
Bonding MO (pi) -> Nonbonding MO (n)-> Antibondy MO (pi*)
Speed of Sound
Bulk Modulus is ability to resist compression; Speed is mainly influenced by compressibility of the medium; Sound travels most slowly through air (300m/s) & Fastest in solid (5000m/s); However, it travels slower in dense medium, because dense media contains more molecuels & resistance
Reducing sugars
In linear form, the anomeric C is aldehyde or ketone and in cyclic form reducing sugars have hemiacetal or hemiketal configurations
Molar solubility vs g solubility
Mol solubiltiy = mol / mL ; Gram solubility = g solute / mL solvent
Bomb cell
Closed system where heat can be exchanged, but not matter. Volume is constant. Can withstand high temperatures. Reaction takes place in the metal.
Center of Mass
CM of a system of point masses is the average of the masses weighted by their displacement from a fixed reference point: rCM = m1r1+m2r2 / m1+m2 ; CM shifts in the same direction as a redistribution of mass and fluid ; The pivot point for an unrestrained object (human) is the center of mass
Confomers
Can freely convert between forms with no bond breaking (chair and boat of cyclohexane)
Carbonate nomenclature
Carbonate: Co32-; Bicarbonate: HCO3-; Carbonic acid: H2CO3
Mass Spectrometer Forces
Centripetal Force = Lorentz Force qV = 1/2mv^2
Linear Expansion
Change in L = (Coefficient) * L(original) * Change in T ; Thermal expansion (of a length or volume of a substance) is lineraly proportional to change in temperature
Electron Affinity
Change in energy associated with adding an electron to a neutral atom in the gas state. The more negative the electron affinity, th emore readily an atom accepts the addition of an electron (nonmetals more likely)
What happens when you charge a capacitor?
Charge on the capacitor increases and the current throughout the circuit begins to decrease
Charles and Boyles law
Charles: V prop to T; Boyles: V inversely prop to P
Combustion reaction
Chemical Energy (&O2) causing temperature of gases to increase (Thermal Energy) which can cause Kinetic Energy
Digestion reaction
Chemical energy into chemical and thermal energy
Cis vs. Trans Stability
Cis isomers can rarely stack close to one another, preventing strong intermolecular interactins. By contrast, trans isomers are capable of stacking more closely and thus experience greater intermolecular interactions. Cis isomers are compact, trans isomers are linear
Litmus Paper
Coated with litmus dye that changes color depending on the pH of the solution in which it is immersed in. Acidic solution will change blue to red. Basic solution will change red to blue.
Partition Coefficient for Extraction
Coefficient = Solubility in Organic / Solubility in Aqueous; Coefficient = Concentration of Solute in Organic / Concentration of Solute in Aqueous
Circular polarization
Compounds with chiral centers are likely to induce circular polarization, becase they absorb right and left circularly polarized light to different degrees; Helical molecular structures also indcue circular polarization of light
Elastic Modulus
Compressive strength; E = Stress / Strain
Concave vs Convex Miniscus
Concave: Strong adhesion (polar), Convex: Weak adhesion (nonpolar)
What material is a resistor made of?
Conducting material. It impedes electron flow, but does not stop electron flow.
How is heat transfered?
Conduction, convection (Fluids), radiation
Conjugate base of monoprotic acid vs. diprotic acid
Conjugate base of a monoprotic acid would be -1 anion; Conjugate base of a diprotic acid would be -2
Convex Lens; Bi-convex in eye (Real = Right)
Converging; dI can be real (+) & inverted OR virtual (-) & upright; df > 0; Real image if larger than focal length (Larger if between F and r; Smaller if beyond r) OR Virtual image if smaller than focal length
Heat capacity at constant P vs V
Cp = 5/2nR Cv = 3/2nR Heat capacity of monoatomic gases only depend on number of moles Smallest moles has smallest heat capacity and will change T by greatest amount when absorbing same amount of heat
Electrospray ionization mass spectrometry (ESI-MS)
Creates ions by protonation of the analyte. The analyte is passed through an electrospray needle that has a potential differnece applied with respect to a counterelectrode. This leads to formation of charged droplets which are repelled toward the counter electrode and mass spec upon evaporation.
Conditions for Total Internal Reflection (High n to Low n)
Critical angle = arcsin(n2/n1); Sin<1 so n1 > n2; TIR occurs when angle of incidence = critical angle ; Larger angle means more likely for TIR
Why is solid less dense than liquid for water?
Crystalline strcuture; The bent structure of water maximizes H-bond that occurs in solid phase, producing structure with large empty spaces
Direction of current vs. electron flow
Current flows opposite to electron flow; Electrons flow to the positive end of the terminal; Current flows from positive to negative end
How to decrease resistance in wire?
Decrease T; increase radius; decrease length
Increase the voltage in galvanic cell?
Decrease the substance being oxidized and increase the substance being reduced. Q = oxidized / reduced & E = Ecell - 0.06 log (Q).
Percent Recovery
Decreasing the initial amount of reactant will lower amount present in solution but will NOT change percentage recovery; Changing pH by altering the buffer solution will alter recovery
Freeze-drying
Dehydration process for food calorimetry. Lyophillisation removes water from frozen food samples at low P through sublimation (Solid -> Gas). Sublimated water vapor (gas) is collected in a condensation chamber (Gas -> Liquid)
Gibbs Free Energy
Delta G = -RTlnKeq; Keq less than 1 is to the left; Keq greater than 1 is to the right; ln0.x = negative number
Eluting Strength in TLC
Depends on how strongly a compound absorbs onto the absorbent. Eluting strength increases with increasing solvent polarity. Methanol is more polar than pentane and thus has a greater eluting strength
Relative Velocity
Depends on their directions. The minimum velocity occurs when the velocities are in the same direction (Subtraction). The maximum relative velocities occur when they are in opposite directions (Addition)
Doppler Ultrasound Imaging
Detects moving of movement flow; Blood as moving sound source & observor as stationary inducer; Use doppler equation to determine how quickly blood is moving & direction
Deuterium vs. Hydrogen
Deuterium has one extra neuron and has a larger atomic mass; It has the same number of total protons as H
Nonpolar solvents
Diethyl ether, hexane, benzene, toluene, chloroform, dichloromethane
Why is HF a weak acid?
Fluorine is the most electronegative and has the smallest atomic radius of the halides, resulting in strong bond formation
Epoxide Reagents
Diol -> mCPBA -> Epoxide
Induced polarity
Dipole-dipole interactions; Permanent dipole (polar molecule) & Non-polar molecule (Induced dipole)
Rechargeable Batteries
Discharge (galvanic) & Recharge (electrolytic)
Dispersion
Dispersion refers to the phenomenon of different frequencies of light having slightly different refractive indices. Light with higher frequency has a higher index of fraction and thus refraction. As light changes medium, its wavelength changes (But frequency stays the same). n1(wavelength1) = n2(wavelength2). Index of refraction is inversely proportional to wavelength and directly proportional to the frequency of light.
Eye as a biconvex lens
Distance of image is fixed; Approximate dI = df when dO gets farther away; Nearsightnedness: dO = infinity & dI = far point; Farsightnessness: dO = 25 & dI = near point; Human eye produces a real, inverted image when object is further from focal length; Image is smaller when the object distance exceeds twice the focal length
What does a diverging lens do to optical power?
Diverging lens decreases the optical power by increasing its focal length.
Convex Mirror (Real = Left)
Diverging; dI is always virtual (-) & smaller & upright; dI opposite side; df < 0
Concave Lens (Real = Right)
Diverging; dI is always virtual (-) & smaller & upright; df < 0; dI same side
Neutralization
Do not always results in a solution of neutral pH, as the product salt may be acidic or basic; H+ and OH- cancel to make water
Metathesis Reaction
Double Displacement Reaction. Reactant ion pairs are exchanged.
Bisphosphonates
Drugs that prevent the loss of bone density. Composed of two phosphate groups
Electric field, Voltage, Electric Potential
E = kQ/r^2; V = kQ/r; U = kQ1Q2/r
Nuclear Fusion Energy
E = mc^2, where m is equal to the mass defect (Predicted mass - Actual mass)
Electrolytic cells
Electrical energy drives non-spontaneous reaction; Breakdown of water to hydrogen and oxygen gas (2H20 -> 2H2 + O2); Anode is positive and cathode is negative
Toasting bread reaction
Electrical energy is used to make thermal energy (toaster to become hot) and change the chemical composition (chemical energy is produced)
Friction and Net Force Equation
Fnet = (mgsintheta) - (usmgcostheta)
Ortho, Para, Meta
Electron donating (Lone pair of electrons) = Ortho (1,2), Para (1,4), and Activating Electron Withdrawing (No lone pairs): Meta (1,3) & Deactivating (But halogens are electron withdrawing and ortho/para)
Electron vs Molecular Geometry
Electron geometry: Number of hybrid orbitals (e- dense areas) formed around the atom; Molecular geometry: More specific adn is determined by the orientation of bonds around the electron and the nonbonding electron pairs are ignored
UV Spectroscopy
Electronic excitation from HOMO to LUMO; Relaxation generates fluoroesence
Accelerometer
Electronic sensor that measures the acceleration forces acting on an object, in order to determine the object's position in space and measure movemetn. Uses change in electric signal
Inductive Effect
Electrons are donated through sigma bonds. Electronegative atoms tend to create dipoles, partial charges, and better leaving groups, and have greater inductive effects (stabilize negative charge after being elimated)
Conditions for an air embolism
Embolism is caused when a bubble of air is formed. Gases are less soluble at higher temperatures and lower pressures.
What is fluoresence?
Emission of a lower-energy photon from a flurophore excited by the prior absorption of a higher energy photon. Molcules absorb UV light and emit lower energy wavelengths of visible light through fluroesence.
Dissolution reactions
Endothermic (require heat input) so decrease the Temperature; All dissolutions increase Pressure
What is a volt?
Energy per charge (J/C)
Latent Heat
Energy used in the process of phase change. A negative latent heat implies the phase change that is occuring is consuming energy (Endothermic and bond breaking). A positive latent heat means that phase change that is occuring is releasing energy (Exothermic and bond forming)
Thermodynamics of Protein Folding
Enthalpy is negative (Bond forming) & Entropy is negative (More ordered). Protein folding is only favorable at lower temperatures.
Configurational Entropic Penalty
Entropic penalty occurs when a small molecule binds to a protein, restricting teh movement of the protein (Loss of configurational entropy)) & binding affinity suffers a penalty. Increased conformational flexibility increases the entropic penalty of protein-ligand binding
Entropic Penalty
Entropic penalty refers to the thermodynamically disfavored requirement of forming a cage of polar solvent molecules around surface-exposed hydrophobic portions of a molecule.
Pure crystalline substance (3rd Law Thermo)
Entropy is 0 at 0K; absolute zero
Epoxidation
Equal mixture of stereoisomeric products
Ester nomenclature
Esters are named by stating the alcohol chain prefix followed by the name of the CA, with the suffic -ic replaced by -ate
Ethanol as a solvent
Ethanol is misible with water and can act as a polar&non-polar solvent.
Crack of a whip
Exceeds velocity of the speed of sound
Hooke's Law
Extension is directly proportional to force until the spring reaches it's elastic limit F=-kx ; Direction of elastic force is towards equilibirum
How does HNMR work?
External magentic field is applied to a sample in NMR spectroscopy. Radio raves, low in energy, are used to detect H-atoms adn excite from alpha spin to beta spin. Inside magnetic field, protons aligned in alpha or beta spin.
Calculate Faraday's Constant
F = (Electronic Charge)(Avogadro's Constant)
Torque
F*l*sin(90); If Force acts at the lever arm, then there will not be any torque
Buoyant Force
Fb=density*V*g; Any fluid (liquid or gas) can provide a Fb
Molar solubility
Find number of mols needed to dissolve for solution to be saturated
Bernoulli's equation for conservation of energy equations
Finding the height of a a tube filled with fluid (open to atmosphere): velocity = sq(2)(g)(h) ; 0.5*density*volume*v^2=density*volume*h ; Need to know at least ONE velocity to use equation
Color of Gases
Fire gases- such as carbon monoxide, are generally colorless Vapor and particulates- give smoke its varied colors Cl2 has a yellow-green color, NO2 has red-brown color, while CO2, H2 and NO are colorless. Cl2 and SO2 have odor, while CO2, H2, NO are odorless
Fundamental wavelength
First harmonic, two nodes Wavelength = 2L
Mass concentration
For a pure chemical, the mass concentration equals its density
Buoyant Force for Two Different Fluids
For an object fully immersed in two different fluids, the volumes of the fluids displaced are equal to the volume of the object (V1=V2=Vobject). The ratio of buyant forces is equal to the ratio of fluid densities. Buyoant force is proportional to the density of fluid.
Keq and Temperature
For exothermic reaction, increase T drives to reactants; For endothermic reaction, increase T drives to products
5 C ring with 2 double bonds
Furan (Oxygen), Pyrrole (Nitrogen), Thiophene (Sulfer)
Lorentz Force
Force exerted on a moving particle in a magnetic field: F = qvB
Analyzing Mass Spectrometry
Fragmented ions are detected. The tallest peak is the most stable peak & the highest abundance. The highest m/z ratio is the molecular ion.
Viscous friction force and Shearing Force
Fshear = n (v2-v1)/y
Strong acids
H2SO4, HCL, HBr, HI, HNO3, HClO3, HClO4 -> Ka greater than 1
Mesylates or Tosylates
Good leaving groups as they are resonance stabilized (SO3CH3)
Mechanical Potential Energy
Graviational Potential Energy or Elastric (Spring) Potential Energy
Water is amphoteric
H3O+ is strongest acid; OH- is strongest base; Kw is not 10^14 under all reaction conditions; Auto-ionization is favored at higher T; pH 7 meaning neutral ONLY at standard Temperature; Kw is so small because water is such a weak acid and base
Naming acids
HClO4 = perchloric acid; HClO3 = chloric acid; HClO2 = chlorous acid; HClO = hypochlorous acid; "ic" refers to polyatomic ion acting as an acid; "ous" means fewer oxygen than "ic"
Daniel Cells
Half reactions carry out in different container; Salt bridge contains spectator ions (Anion move in opposite direction to electron flow); Electrons flow from anode to cathode; Anode will shrink and Cathode will grow
Concentration cells
Half reactions carry out in same container; Elecrodes made of same material; Two regions must have concentration differentce; Porous disk
Electron Withdrawing Groups
Halogens, Carbonyl, Sulfonyl, Cyano, Nitro, Haloalkyl, Ammonium (Give partial positive charge, deshields hydrogens)
Photons
Have no charge, so are not affected by magnetic fields
Headlights in Car
Headlights form a concave mirror creates a parallel beam which narrowly focuses light. The light source in the headlight produces light rays in all direction (convex refelctive surfaces)
(Molar) Heat capacity vs Specific Heat capacity
Heat capacity = mc Specific heat capacity = c ; C = q/T Molar heat capacity = nc(delta)T
Direction of heat transfer
Heat goes from hand to object then it feels cold (Endothermic feels cold); Heat goes from object to hand then feels hot (Exothermic feels hot)
Heat conduction
Heat is transfered by conduction from high to low T regions; The rate of heat transfered (H) = k (change in T) / distance; Better thermal conductor has a larger k; Tile has a larger k than carpet, thus feels colder; Heat transfered from body to carpet (although at same T); Carpet has a lower k and is a better thermal insulator
Heat of Combustion
Heat realeased when one mol of a substance is completely burned. A higher heat of combustion means a structure is less stable, as it has a higher energy to begin with (More energy is given off)
Solution
Homogenous mixture of two components; Pure water is not a mixture becasue H2+O2 -> H2O; Gasous/liquid/solid (Most commonly solid dissolved in liquid)
Spring constant and PE stored in a spring
Hooke's Law: F=-kx ; PEspring = 1/2kx^2
Heterogenous vs Homogenous catalysts
Hetergenous catalysts involve the adsorption of reactants onto the surface of the catalyst and provide higher reaction rates with increased surface area. Homogenous catalysts is in the same phase as the reactants and can affect the rate of reaction because higher solubility can increase the interactions between reactant and catalyst species in solution
Organic solvents in extraction
Hexanes, Toluene, Dichloromethane, Diethyl ether, Chloroform, Ethyl ester, Ethyl acetate, Methylene chloride
Frequency of sound
High frequency = high pitch; Low frequency = low pitch; Frquency is a feautre of sound waves while pitch is a psychological phenom; Human hearing 20Hz-20,000Hz (higher pitch diminish with age)
Ksp
High solubiltiy if high Ksp; Low solubility if low Ksp; No compound is truly insoluble; Use Ksp to determine max numbner of mols of solute taht can dissolve in solution; Ksp=(Cation)(Anion); Ksp is unique to each solution is value differs from 1
When do gases behave ideally?
High temperature & low pressure; Volume is insignificant, elastic collision, no forces of attraction
Frequency in sound
High-frequency = high pitch; low frequency = low pitch
T and P on Solubility in Solids
Higher T lead to higher solubility for solids in ENDOthermic dissolution; Higher T leads to lower solubility for EXOthermic dissolution
T and P on Solubility in Gas
Higher T leads to lower solubility
Current intensity
I = Q / t -> Q = neAd / t -> Q is equal to the charge per electron * Avogadro * # of mols
Sound intensity inverse square law
I is inversely proportional to distance squared
Vacuum distillation
If boiling point is high, a vacuum is used to lower atmospheric pressure in order to lower the boiling points of all substances involved
How to tell the difference between Ionic & Coordinate bonds?
If the interaction involved a group 1 or 2 metal ion that did not have available d-orbitals, that would suggest an ionic bond. However, metal coordination complexes can form coordinate covalent bonds wherein the ligand acts as a Lewis base (e- donor) and the central metal acts as a lewis acid (e' center)
Salt Bridge in Electrochemistry
If there was no salt bridge, the accumulation of negative (cathode) and positive charge (anode) would generate a high electrostatci potential; As the magnitude of Q (charge) increases, it will require more and more electrostatic potential energy to transport electrons to/from electrodes. The energy requirement would exceed the voltage of the cell
Periods and Destructive Interference
If two waves are 1/2 period apart, they will destructively interfer
Surface tension & Water Droplets
Imbalance of IMFs at surface that makes its surface act as a thin, elastic film. Arises from cohesive forces (b/w like molecules) in a fluid. Water molecules at the surfae of water droplets experience a net inward force, decreasing surface area of the water and making a spherical shape
Deuterium labeling
Impacts the reaction rate, as heavier isotopes result in a greater energy requirement to break the associated bond
Which solution is more concentration in concentration cell?
In a concentration cell, the anode is less concentrated & the cathode is more concentrated. Want to increase the anode solution, so oxidation takes place at the anode.
Venturi Effect
In a vertical pipe, the higher the water level, the greater the pressure, the lower the velocity, and the greater the area underneath Lower area -> Higher velocity -> Lower P; Continuity and Bernouilli's equations
Adsoprtion vs. Solubility
In chromatography, adsorption is defined as how well a component of the mixture sticks to the stationary phase, while solubility is the property of how well a component of the mixture dissolves in the mobile phase. Higher adsoroption to polar -> More slowly; Higher solubility of compound in mobile phase -> More faster
Contrast Agents
Increase MRI signals by increasing the relaxivity of water molecules. These agents can be used to monitor biologicla processes. Example of a contrast agent is Gd. Gd coordinates with water.
What affects basicity of amines?
Increase resonance means more stable and less basic. The N atom that is the most basic is the one that does NOT participate in resonance. Least stable = Most Basic. EWG make it less basic, while EDG make it more basic.
What does doubling imply in percentages?
Increasing by 100%
Overtone of Closed Tube Resonator
Increasing frequency such that multiples of half a wavelength result in standing waves. The first overtone of a closed tube resonator is called the third harmonic
Indole, Imidazole, Guanidinum
Indole: Tryptophan, Imidazole: Histidine, Guanidinium: Arginine
Relationship between Amplitude, Intensity & Distance
Intensity proportional to amplitude squared; Intensity indirectly proportional to distance squared; Amplitude indirectly proportional to distance
Electromotive Force
Intrinsically related to the physical dimensions and composition of the battery; the magnitude of the electromotive force is indepedent of internal resistance
Electrical conductivity and resistivity
Inversely proportional; Metal has high conductivity and low resistivity; Insulator has low conductivity and high resistivity
Iodine Titration
Iodine + Starch -> Dark Blue
Solubility vs. Ionization
Ionization: MgCl -> Mg2+ + Cl- (Elecrolyte conduct elecity in solution) Solubility: Non electrolytes can also dissolve too without ionization (Don't break apart but do dissolve)
Hydrophobic interaction column
Ions (Na+, K+) strengthens hydrophobic interactions between column and solute. Salt promotes interaction between hydrophilic and hydrophobic regions of the protein and the medium by reducing the solvation of the sample moleucles and exposing their hydrophobic regions. The amoutn of salt needed to promote binding is inversely proportional to the hydrophobicity of molecules.
Spectator Ions
Ions that do not participate in the reaction. Commonly, the most soluble compounds like Na+ and NO3- do not form precipitates with commonly encountered ions and thus are spectator ions
Turbulent Flow
Irregular flow with random variations in pressure. Reynolds number is directly related to the velocity and density of the fluid and inversely related to the visocity. Higher density, higher velocity, lower viscotiy would lead to a more turbulent flow (increase T -> lower viscocity -> more turbulent flow)
Thermodynamic Vs. Kinetic Product
Irreversible reactions are under kinetic control, which favor products whose pathways have the lowest activation energy. Reversible reactions are under thermodynamic control, as they favor the most stable product.
Benefits of Methanol
It is easy to make methanol anhydrous. During distillation, water can be removed
Net fluid filtration
Jv = (Pc - Pif) -> Difference in hydrostatic pressures with capillary fluid hydrostatic pressure - insterstital fluid hydrostatic pressure
Starling equation
Jv = K ((Pc-Pif)-(Osmoticc - Osmoticif))
Distribution Coefficient Extraction
K is the ratio of solubility of a compound in organic layer to aqueous layer. Water can remove highly polar substances (inorganic salts, strong A/B, polar, low MW compounds). Acid can remove organic bases (amines).
Kinetic energy of water flowing
KE = 0.5 * p * v^2 * V
KE gas particles & Boltzman Constant
KE = 3/2kT for monoatomic ideal gas; Boltzman's constant; Average translational kinetic energy at a given temperature
Kb, Ka, Kw
Ka*Kb=Kw & pH+pOH = pKw & pKa+pKb=pKw ; If Ka>Kw, then ignore water dissociation
A molecule's charge or polarity may be modified to increase or decrease affinity for a solvent. DNA can be precipitated by neutralized its charge. Hydrophobic into organic layer and polar/charged into aqueous layer.
Kinetic product has a lower energy barrier and a higher final energy; Thermodynamic product has a higher energy barrier and a lower final energy (more stable)
Equilibrium Partial Pressure
Kp = (Pproducts)^m / (Preactants)^n
Resonance in Open Pipe (Both ends)
L = (n)/2 * Wavelength
Resonance in Open Pipe (One end)
L = (nodd)/4 * Wavelength
Lactone vs Lactam
Lactone is a cyclic intramolecular ester derived from a hydroxy acid while a lactam is any class of cyclic amides (N analogs of lactones)
Where are metals plated in electrolysis?
Metals are plated onto an electrode where their aqueous ions are reduced to from the solid metal. Happens at the cathode!
Myopic Eye Near Point & Far Point
Lens is too strong. Eye is too long. Near point is closer than normal eye. Far point is closer than normal eye. Optical power of a myopic eye exceeds what is required for the axial length of the eye. As a result of the increased optical power, the myopic eye near point is smaller than normal.
Hyperopic Eye Near Point & Far Point
Lens is too weak. Eye is too short. Near point is farther than normal eye.
Linear Polarization of EM Radiation
Linearly polarized waveforms are associated with oscillations that occur in a particular orientation in the corrdinate system. A linear polairzatin filter blocks electric fields aligned perpendicular to the axis of polarization (50% of total intensity); I = Cos^2theta * Io
Torque due to gravity
Lmg(sin theta)
Decibals
Log scale that relates the percieved loudness of a sound to its actual intensity. For each 10 fold decrease, sound intensity decreases by 10dB. A sound that is 10 times more intense is twice as loud. A 100 fold decrease in intensity corresponds to a decrease in 20dB and a sound that is 1/4 as loud.
Diffraction of Long vs. Short Wavelengths
Longer wavelengths diffract more than shorter wavelenghts. If the hole is smaller than the wavelength, then the wavefronts coming out of the hold will be circular. (BUT, shorter wavelengths bend more in a denser medium!)
Meso compound
Many chiral center, but symmetry and thus achiral
Lead Acid Battery
Low energy density; Pb (s) & PbO2 seperated by H2SO4; Pb and PbO2 both create PbSO4; Both half reactions have the same products
Series of Spectra
Lyman (UV): n=1; Balmer (visible) n=2; Paschen (infared) n=3
Mechanical Advantage
MA = Force out / Force in = Distance in / Distance out; For inclined planes, MA = hypot / height
NMR
Magnetic pulse to displace atomic nuclei; nuclear oscillation; Non invasive; Observe chemical reactions
How does mass affect friction?
Mass is not a factor in overcoming static friction; Fnet = (mgsintheta) - (Usmgcostheta) ; As both m and g cancel out, they do not depend on whether something will slide down an inclined plane
Momentum
Mass*Velocity -> Velocity only changes momentum, not inertia
Water-based spirometer
Measure lung capacity. Following exhalation, the volume of water inside the spirometer chamber and the pressure of the air inside the chamber change. To calculate the pressure of the gas: Total pressure - water vapor pressure. The pressure is being measured over a volatile liquid. When you blow into tube enclosed in a closed vessel, the pressure from the gas will push the water level down.
Calorimetry
Measures heat transfer from changes in temperature. Isolated system. If ice is used in the calorimeter instead of water, the heat from the combustion will go to melting the ice and thus the temperature of the water would begin at a later time. The amount of heat released from a combustion reaction depends on the mass.
Extraction
Method used to isolate a chemical using immisicible solvents. Organic solvent is a nonpolar solvent. Aqueous solvent is a polar solvent. You can boil away the organic (low BP) after extraction has taken place.
Microgravity enviornments
Microgravity enviornments promote cartilage decompression and elongation. The spinal cords do not support any weight
Purpose of washing with Brine
NaCl may be used to remove water from organic layer
Strong base
NaOH, KOH, Ca(OH)2, NH2-, CsOH -> Kb greater than 1
Representative Elements
Name for main group elements (Groups 1-2) and (Groups 13-18) & have group named A; Transition metals are groups named B
Isothermal
No change in Temperature; Q = W; All the heat is used to do work; Heat can change
Doppler Angle of Insonation
No doppler shift is obtained as 90 degrees, since cos90 = 0. The optimal doppler angle is when the ultrasound beam is aligned perfectly with the direction of blood flow (Parallel or antiparalel with velocity) & cos0 = 1
Plane mirror
No focal point; Always produce virtual images behind the mirror that appears to be the same difference
Adibiatic
No heat is lost; U = -Work; All the internal energy is used to do work; Temperature can change; Temperature falls during adibiatic expansion & Temperature rises during adibiatic compressin
Ionic compounds
No net charge at all; Polyatomic ions naming: Ion with lesser charge is "ous", greater charge is "ic", if H is introduced then "bi" or "dihydrogen"; Monoatomic ions use "ide"; Oxyanions (polyatomic oxygen anions) use prefix and suffixes (hypo, ite, ate, per)
Properties of Ideal Fluid
No viscosity, Laminar flow, Incompressible
Do gases form Hydrogen bonds?
No, H-bonding does not occur in the gasous state. Gases can form covalent bonds to form diatomic molcules.
Meso Isomers
Non-optically active members of a set of stereoisomers, at least two of which are optically active. This means that despite containing two or more stereogenic centers, the molecule is not chiral. If a symmetrical molecule has 2 stereocenters, there will be only 3 stereoisomers.
Chromatography
Nonpolar solvent and polar stationary phase
Parts per Million (ppm)
Normalizes fractions/concentrations to a total mass of one million. ppm = mass solute / mass solution * 10^6. ppm = mol fraction * 10^6. 1ppm = mg solute / kg solution
Nucleophilic addition vs electrophilic addition
Nucleophilic addition is adding a nucleophile (Grignard) to an electron-deficient species (carbonyl carbon). Electrophilic addition is adding an electrophile to a double or triple bond (Addition to a double bond, markovnikov)
Coordination number
Number of coordinate bonds, where coordinate covalent bonds are formed between two atoms when both of the shared electrons are donated by the same atom. Usually formed between electron poor metals and molecules called ligands that contain one or more electron electron fich atoms with available lone pair electrons. The coordinately bonded metal and ligands are called complex
Hydrogen Deficiency Formula
Number of double bonds = (2C+2-H) / 2
Degrees of Unsaturation
Number of double bonds and rings. (2C + 2 + N - H - X) / 2
Normality (N)
Number of equivalents per L of solution; Acid/base chemistry; N = M(acid) * (#acidic protons per molecule); N = M(base) * (#OH- ions)
Molality (m)
Number of mols of solute per kg of solvent; In dilute, N = m, becasue kg of solute has not meaningful impact on L (1L water = 1kg; different density will make N not equal m)
Molarity (N)
Number of mols per L of solution; mol/L; To make a solution, need to keep the ratio of xmol solute : 1L of solution
Density and buyoancy
Object flotation is determined by density Less dense object will rise more quickly
Newton's Second Law
Only described unbalance or net force. It can describe constant and variable forces.
Osmotic Pressure
Osmolarity = iMRT; Moves from lower osmolarity to higher osmolarity
Outer vs. Inner Hair Cells
Outer: Amplifies (3 rows) Inner: Directly innervate (stimulate) the auditory nerve (1 row)
Pressure Formula in Closed Static Fluid System
P = F/A ; P = Patmosphere + density*g*h ; Greatest pressure at lowest depth in a closed static fluid system
Power
P = IV P = I^2R P = V^2/R
Power, Energy, Work, Force Equations
P = IV P = E/t W = E = Fd P = Fv
Cyclic heat engine
PV Diagram will be a closed loop; Converts thermal to mechanical energy by transfering heat between Hot and Cold and doing work; QH = QC+W; Involves Isothermal and Adibiatic Expansions & Compression; RIGHT/DOWN is expansion; LEFT/UP is compression
Units for Viscocity
Pa*s
Dalton's Law of Partial Presssure
Partial pressure is the pressure that the gas would exert if it took up the same volume by itself; Pgas =Xgas*Ptotal
Diffraction grafting
Passage of light through an array consisting of numerous slits. Diffraction grafting may be used to determine the components of polychromatic (white) light and other mixed electromagnetic wavefronts. Diffractive grate composed of numerous slits with near-zero width similar to teh wavelength of incident light. Characterized by sharp & narrow & vary in height peaks.
Pressure for multifluids system
Patmosphere + density1gh + density2gh = Ptotal
How to produce a free amino acid?
Peptide bond hydrolysis, strecker synthesis, Gabriel synthesis WITH malonic ester
What type of reaction is a phase change?
Phase change is a physical reaction, not a chemical reaction. Thus, covalent bonds are not broken, only hydrogen bonds. More energy is needed to evaporate water than to melt ice, as hydrogen bonds are broken. Hydrogen bonds are types of dipole-dipole interactions, not a true chemical bond.
Mnemonic for Lens and Mirror
Positive images are Real and Inverted. Negative images are Virtual and Upright.
Galvanic cells
Positive redox potentials; Spontaneous direction; Anode is negative & Cathode is positive; Daniel OR Concentration
Positron vs Proton emission
Positron is an anti-particle of an electron, with same mass as an electron but a positive charge (Emission = radioactive beta-decay). Proton is more passive, has a positive charge (Emission = Light emission)
Intensity of sound
Power delivered by sound over a given area; Intensity is proportional to amplitude squared (dB) Loudness of sound; Loudness is our perception of sound; Intensity of the sound wave is proportional to amplitude^2; Decibal scale; Db = 10log(I/reference min); 40dB higher means 10^4 more intense
Pressure and Temperature at High Altitudes for Gas
Pressure decreases and Temperature decreases at high altitudes
Stationary fluid vs Flowing fluid pressure
Pressure increases equilibrate quickly via Pascal Principle; (Flowing fluid follows Venturi effect so a faster velocity means lower pressure)
Vapor Pressure
Pressure of the vapor phase existing immediately above surface of liquid; Higher vp indicates a larger number of solvent particles were able to escape the liquid and enter theh gas
Surface tension
Property of surface of a liquid that allows it to resist an external force (adhesion) due to the cohesion of molecules in the liquid
Surface Tension Definition
Property of surface of a liquid that allows it to resist an external force. Small objects float on surface of liquid. Surfactant lowers surface tension of lungs, allowing easy expansion upon inspiration.
Pyridine vs Pyrimadine
Pyridine is 6C ring with 1N. Pyrimadine is 6C ring with 2N
Sn1 Reactions
Racemic mixture thus no net rotation of polarized light
Radiation Energy
Radiation Energy is directly related to the T of object
Rate Law
Rate = k (A)^x (B)^y
Fick's law of diffusion
Rate of diffusion of a gas = DA(Partial Pressure Difference) / Thickness; As partial pressure increases from diffusion, the partial pressure difference will decrease and thus the rate of diffusion will decrease ; The rate of diffusion of a gas across membrane is proportional to partial pressure difference
Precipitation of DNA
Reacting DNA with a cation can interact with DNA's phosphate group, leaving the DNA too polar to remian in less soluble ethanol. Ethanol is commonly used as a solvent to precipitate DNA, while sodium acetate is used to make DNA more polar
Temperature & Solubility for Gas
Solubility decreases at T increases; HCl, NH3, SO2 are gasses at St. P; KE of gas solutes increase and increase tendency to espace
Alkali metals
Reducing agents, single valence electron, form hydrides (basic) when bound to hydrogen, react with water
Tollens and Benedict Reagents
Reducing sugar; Silver mirror will form for Tollens'; Reducing sugar will reduce Cu2+ + e- -> Cu+ causing a green color
Isotopes
Same chemical properties (electron configuration) but different physical properties (number of neutrons)
Attenuation
Sound dampening; Negleted unless otherwise stated
How does a refridgerator work
Remove heat from cool internal enviornment it into warm, external enviormnet; Work is done by compressor to turn refridgerant into a liquid; Liquid flows through refridgerator & absorbs energy; Gas releases heat to external enviornment
Molecular weight of a sinlge molecule
Represented by amu
Cp vs Cv
Requires more energy to raise to a specific T if the volume is changing; Cp>Cv; Temperature can only change if P or V change (at the same number of mols)
Resistors in parallel
Requiv = r/N ; Increasing N decreases r
Identical chemical species
Same elemental composition, same number of electrons, same orbital bonding configuration
Retention Factor in TLC Plate
Retention factor is the distance migrated by the compound divided by total distance traveled by solvent. It depends on solvent system, temperature, and adsorbent
AC Current
Reverses its polarity at a constant rate (Ex: 1V to -1V) in a sine-wave pattern. The average EMF of an AC circuit is zero. Usually measured as a rms value instead (V/sq(2))
Circular Polarization
Rotation of polarization observed when two transverse waves with equal amplitudes and perpendicular linear polarization propagate out of phase with one anohter by 90 degrees.
Entropy Equation (Boltzman's Constant)
S = klnW ; where W is the number of energetically equivalent ways to organize the components of a system
Streaking on TLC
Sample too concentrated, Overspotting, Many components on the sample
Saturated Solution
Saturated when max amount of solute into solution is added (Precipitate if add more); Unsaturated contain less than maximum amoutn of solute; Rate of dissolution equal to rate of precipitation
Reducing agent BH3
Selectively reduces carboxylic acids to alcohols. 1. BH3*THF 2. H2O
Thermosensation
Sensation of temprature by an organism
Fractional Distillation
Seperate compounds that are less than 25 degrees celcius. It uses a fractioning column and a condensor to provide a larger surface area on whicih the vapor of the distallate can condense before distilling into the recieving flask
Vacuum Distillation
Seperate compounds that have bp greater than 150. It uses a vacuum to connect to apparatus to avoid decomposition and lower the pressure + bp.
Which amino acids undergo phosphorylation?
Serine (S), Threonine (T), Tyrosine (Y), Histidine (H)
Sec-butyl group
Side chain of Isoleucine
Metalloid
Silicon and boron share characteristics of metals and nonmetals. They are semi-conductors, which means they both insulate and conduct electricity
Kinetic friction and direction of acceleration
Since friction opposes sliding, kinetic friction causes sliding objects to decelerate. The magnitude of deceleration is calculated using : F = ma ; a = -ukmg / m = -ukg
Isolelectronic
Species with the same electron configuration (same number of electrons). Isoelectronic atoms with a greater number of protons will have a higher Zeff
Conformational Isomers
Stereoisomers that differ by rotation about one or more single bonds, usually represented using Newman projections. Same connectivity and can be interconverted by rotation of sigma bond. They are identical except for bond rotation. They are the same compound.
Strength of Multiple Lenses
Strength of a convex lens in sequence = S1+S2
Reducing Agents
Strong: LiAHl4 (CA to primary alcohol), DIBAL (CA to aldehyde) Weak: NaBH4 Other: H2 with Ni, H2 with Pd, Hydrazine, B2H4, CO, C, Lindlar's, Zn(Hg), Metals
Oxidizing Agents
Strong: Na2Cr2O7, KmnO4 Weak: PCC Other: O2, H2O2, Halogens, H2SO4, HNO3
Why does shift in frequency of percieved sound occur?
Successive sound waveforms are emitted further from the observer
Electron Acceptors for Anaerobic Repiration
Sulfate, Phosphate, Nitrate, CO2 Fe3+ (Inorganic), DMSO (Organic)
Length of sigma bond
Sum of atomic radii of bonded atom; Atoms with smaller atomic radius will have stronger bond; Atoms will larger atomic radius have larger bonds (decrease across row and increase down column)
Period of Pendulum
T = 2π√1/g : the period of a pendulum is equal to two pi times the square root of the length of the pendulum divided by the acceleration due to gravity
Kinetic Energy & Absolute Temperature
T is proportional to the sum of the KE of each molecule divided by the quantity of molecules
Boiling point elevation
Tb = iKbm; Tb is amount bp elevated, i is Van Hoff, m is molality; Adding solute increases bp
Pseudo First Order
Technically a second order, but behaves like first order. One of the reactants is present in excess, that it does not affect the reaction rate.
Freezing point depression
Tf = iKfm; Adding solute decreases freezing point
Conservation of Energy Launching
The KE of an object launched upward into gravity gets changed to PE, as the radial distance increases
Paramagnetism
The angular momentum of unpaired electrons with a single spin state creates a magnetic dipole moment. Electrons are unpaired and are not in the same orbital
Second Ionization Energy
The energy needed to knock off the second valence electron. Ionization energies make a large jump when the electron is being removed from a noble gas configuration. Ex: 2nd IE of Na
How does temperature affect Ka?
The dissociation of an acid is usually an endothermic process. Thus, as temperature increases for an endothermic reaction, product is favored and Ka increases (pKa decreases).
Doppler Shift for Ecolocation
The echolocator can be considered the source and the reciever. The relative vecloity of the source and reciever away form eachother can be considered doubled even though they are the same object. The Doppler effect occurs twice for ecolocation so higher change in frequency (change in f/f = 2v / c ; where v is the relative velocity.
Entropy of Reversible Reaction
The entropy of a reversible reaction is zero
Larger vs Smaller Focal Length
The larger the focal length, the narrower the angle of view and the higher the magnification. The focal length depends on the index of refraction of the medium.
Mass Spectrometry
The largest number is whole fragment & complete monomoer; The number next to it in parenthesis is the relative abundance; If there is a larger relative abundance then it is more stable; Can't refer boiling point from mass spectrometer alone; In mass spectrometer, double bonds are not usually broken
Fundamental frequency
The lowest, and usually most intense, frequency of a complex sound; most often perceived as the sound's basic pitch
Regioselectivity
The making or breaking of chemical bonds in one direction over all other directions that are posible. Forms constitutional isomers. (Ex: BH3 across the double bond adds OH- to the less substituted side)
Rollercoaster Circular Motion
The minimum speed needed to stay on the track is when the Normal Force is equal to 0; Fc=Fg; v = sq(g*r); Minimum rollercoaster height = 5r/2
Net force on dipole in capacitors
The net force on the dipole is zero. Capcitors create a constant electric field across their plates, so the force exerted on + end of the dipole will be equal and opposite to the force on the - end of the plate.
Gas Chromatography Retention Time
The order of GC peaks has to do with the polarity of the individual molceules OR boiling point. Reducing the temperature then reduces energy within molecules. The molecuels are held up inside gas column longer. There is a longer in retention time, more spaced out between the peaks so resolution would increase. Mobile is inert gas, while polar is stationary phase (More polar will have longer retention time).
Percieved Color of Light
The percieved color of a substance is complemtary to the color of the wavelength that is maximally absorbed by that substance (Orange = Blue, Yellow = Violet, Red = Green). The color of a substance is determined by the wavelengths of light it absorbs, which is determined by the electornic structure of the molecule
Diver's Wetsuit and Buoyancy
The pockets of air that get compressed as the diver descends causes a decrease in V of the wetsuit which means a decrease in density (as mass is constant) of wetsuit and a decrease in Fb; Fb is proportional to the volume of the displaced object; Density of liquid never changes; Swimming deeper will cause sinking
Raoult's law of Vapor Pressure
The presence of a solute decreases the vapor pressure; P = Xa*Pa (pure solvent)
Dynamic Pressure
The pressure associated with the movement of a fluid Static P - Stagnation P = Dynamic P = 1/2(density)(v^2)
Stagnation vs Static Pressure
The pressure at a point in a fluid is called the 'static pressure'. The 'stagnation pressure' is the pressure that the fluid would obtain if brought to rest without loss of mechanical energy. The difference between the two is the 'dynamic pressure'.
What affects rate of conduction?
The rate of heat transfer through solids depdents on conductivity, T, thickness, area. Conduction increases with denser materials.
Law of Mass Action
The rate of reaction is proportional to the molar amount of each reaction component raised to the power of its reaction order. An increase in the substance that contributes more to the reaction rate will increase the rate of reaction.
Frost Diagram
The slope of the line segment joining two species equation the standard recution potential for the couple. Frost diagram can determine reactions unstable towards disproportionation. Graph is NE (Delta G = -FNE) divided by Oxidation number.
Speed of flow in aorta vs capillaries
The speed of flow is larger in the aorta since the total cross senctional area of all the capillaries is greater than the total cross sectional area of the aorta (Even though the cross sectional area of the aorta is greater than a single capillary)
How do fundamental frequencies and wavelengths change with T?
The speed of sound increases with increasing T. The fundamental wavelength stays the same, since length of tube does not change. The fundamental frequency increases.
When is entropy maximized?
The system is at equilibirum & System can't do work. Delta G = 0. There are no energy gradients within the isolated system so energy is maximally dispersed. With no free energy change, the system is unable to perform work.
Thermodynamic Enolate vs. Kinetic Enolate
Thermodynamic enolate forms more stable product & Requires small base. Kinetic enolate forms less stable product and requires bulky base (LDA)
Electrostatic potential energy & Electric Potential
U = Vq = qEd; V = Ed
Diethyl Tartrate
Three stereoisomers exist. The R,R and S,S isomers are enantiomeric, being mirror images. The meso stereoisomer is not chiral. It is a stereoselective reagent
Porosity
To estimate scaffold porosity, need a ratio that describes how much substance it absorbs to estimate how much increase in weight after being immersed. (Weight after immersed - Weight after drying ) / Initial Dry Weight
Specific gravity formula
To find percent of volume above water (when sg<1) = (1-Sgobject/sgwater)*100%
Inertia & Torque Equation
Torque = I*alpha = Change in L /. Change in T I = (0.5)*M*R^2 (Disk) OR I = MR^2 (Hoop)
Energy and flux for a beam of particles
Total Energy = (# particles) * Energy ; Flux = (# particles per unit time / Area) Magnetic flux = B*A*cos(theta) Electric flux = EAcos(theta) = q / Eo
Propertides of Non-Ideal Fluid
Viscous, Turbulent Flow, Compressible
Surface Tension Formula
Ts = F/d Surface tension decreases as temperature rises, as fluid molecules can more easily break IMFs. Surface tension decreases as SA rises
Aldol reaction product
Two carbonyl compounds react to form alpha, beta unsaturated ketone or aldehyde
Energy in capacitor
U = 1/2QV = 1/2CV^2 = 1/2Q^2/C
Thermodynamics Equation
U = Q +/- W ; -W means work done by system (Expanding gas); +W meanas work done on system (Compressing gas)
UV chromophores
UV light excites electrons of UV chromophores to a higher E state in TLC. Include double and triple bonds, C=O, nitroso groups, alkyl halides, and conjugated systems
Water as the solvent of life
Universal solvent, high specific heat capacity, adhesion & cohesion forces, polarity
Goldman-Katz Equation Membrane Potential
Vm = -60mV * log (Naout+Kout / Nain + Kin); Total amount of current flowing through potassium equals total amoutn of current flowing through sodium channel; More sodium channels are open, so twice as much current flows through an individual potassium than sodium channel
Autoclaving
Used for sterilization; Bringing material to a T over 120 degrees and a P of over 2atm; Kills
Function of ebulliator?
Used to prevent superheating by releasing air bubbles into a liquid which rise and break the surface tension of the liquid, preventing heat from becoming trapped
Echocardiography
Uses short wavelength / high frequency ultrasound to generate image measurements of the heart, as shorter wavelengths are useful in imaging finer structures. Shorter wavelenghts are more likely to be to be absorbed by tissue and generate images
Lucas Test
Using ZnCl2 and HCl to test for the presence of secondary and tertiary alcohols. Formation of insoluble compound due to Sn1 reaction. Sn1 reactions produce stable carbocation intermediates.
Doppler Effect Signs of Source + Observer
Vobservor is positive if observor is moving towards the source; Vsource is positive if source is moving away from observer; Moving in the right direction recieves a positive value ; If moving TOWARDS eachother -> f'>fo ; If moving AWAY eachother -> f'<fo
Ideal Gas Deviation formula
Van Der Waals: (P+an2V2)(V−nb)=nRT; Larger a and b means more deviation
Colors of Visible Spectrum
Violet (380-450) - Blue (450-490) - Green (490 - 565) - Yellow (565-590) - Orange (590-650) - Red (650-740)
Why would a compound need to be produced in situ?
Volatile compounds, such as Iodine, may need to be produced in situ in order to not lose any compound. Iodine can be then used in a redox reaction, reacting with starch after reaching the endpoint.
Piezoelectric effect
Voltage generating a current through the crystal (Electrical energy) and the crystal vibrating (Mechanical energy)
Cone
Volume = 1/3*pi*r^2*h
Dilution Factor
Volume of Standard Solution / Volume of Stock Solution = Concentration Stock Solution / Concentration of Standard Solution = Volume Final (Aliquot+Dilutent) / Volume Initial; Diluted Concentration = Dilution Factor * Initial Concentration; For more than one dilutions, multiply the dilution factors together
Potentiometric Titration
Volumetric titration method in which the potential between two electrodes is measrued (reference and indicator electrode) as a function of the added reagent volume. Reference electrode is usually a calomel electrode and indicator ususally a silver electrode. Electrodes are attached to a voltmeter or pH meter. E cell = E indicator - E reference + E junction
Velocity root mean square
Vrms = sq(3RT/M) ; Vrms increases as M decreases
Units for P-V Work
W = P(delta)V, where V is measured in m^3
Work done by nonconservative force
W' = deltaE = deltaK + deltaU The magnitude of the work done by a nonconservative force depends on the total distance through which the force is applied.
Purpose of washing with water & ethanol
Wash with deionized water will remove soluble byproducts. Washing with ethanol after helps remove adsorbed water, and since ethanol has a higher vapor pressure than water, it faciliates drying of the solid.
What is the best leaving group?
Weak Bases! As electronegativity increses, basicity decreases. As size increases, basicity decreases. Thus, the best leaving groups are to the right of the periodic table and down the group.
Tensile vs. Compressive Forces
Weight can act as a compressive force or as a tensile (pulling) force. Tensile forces may lead to the elongation of objects under tension. Tension is a force that results from an object being pulled in two direction. The effects of gravity can be experienced as tension or compression
Specific gravity (weight ratio)
Weight of substance / Weight of equal volume of water; Fg/Fb
Newton's First Law
When a mass experiences a net force, the mass will accelerate in the direction of the force. When no net force is applied, its velocity is unchanged. Thus, an object will accelerate to a velocity when a force is applied and will continue at the same velocity when the force is removed
Burning candle and water rising Experiment
When candle burns, O2 is limiting reagent -> O2 is consumed and more moles of CO2 gas are produced -> n increases so P increases -> After T decreases, P finally decreases -> At the end of experiment, there is less n but same V, R, T -> Due to less n, P decreases -> To compensate for P decreasing, water level needs to rise
What happens when object distance is large?
When do is large, di = f & the image is small
Why is acetal protection more thermodynamically favorable?
When forming cyclic acetal, 1 diol produces 1 product. When forming acetal, 2 alcohols produce 1 produce. Thus cylic acetals are more favorable in entropy.
Decompression Sickness (DCS)
When going from high pressure to low pressure, a venous gas emboli can form. Nitrogen dissolved in the tissues forms bubbles as pressure decreases, Nitrogen does not have time to clear from blood & instead seperates out of blood and forms bubbles in tissues.
Unstable Equilibrium
When set off balance, tends towards a position other than equilibirum point
Boiling chips and scratching flask
When transitioning from liquid to gas, the liquid needs nucleation sites and places to start forming bubbles
ICE Table
When we don't know if all the reactant is used up, the change will be dented as x; If we want to find equilibrium constnat use ICE; If there is a strong acid or base, then we can assume all reactant gets used up
How to x-rays produce images
X-ray images are produced by high eneergy electrons. The energy from x-rays is absorbed by different rates by different parts of the body. The detector on the other side of the body picks up the x-rays after they have passed through and turns them into images. Energy from the electrons produced by an x-ray machien is given up as heat in the target organ (target organ = high thermal conductivity)
Mol fraction of gas
Xgas = ngas / ntotal
Hydrolysis of an acetal
Yields 2 alcohols and a free aldehyde
Types of Acid-Base Neutralization
a) Acid reacts with a base containing hydroxide (OH) to produce water and salt b) Acid reacts with a base containing carbonate or hydorgen carbonate (HCO3) to produce water, CO2, and salt
Types of Single Displacement
a) Solid reacts with a metal solution (metal plates out) b) Solid metal reacts with an acid (produce hydrogen gas) c) Solid metal reacts with water (produce hydrogen gas and hydroxide metal)
Square Planar Hybridization
dsp^2; Transition metals
Trigonal bipyramidal Hybridization
dsp^3
Frequency, period, velocity (Circular motion)
f = 1/T ; v = (2*pi*r)*frequency = omega*r ; 1 rev = 2*pi*r meters ;
Arrhenius equation
k=Ae^(-Ea/RT)
Difference between pKa and pH?
pH is a measure of concentration of hydrogen ions in an aqueous solution (acidic or basic). pKa is more specific, as it helps predict what a molecule will do at a specific pH (dissociation); When pH increases more than 2.0 pH units above pKa, then the major chemical in solution is conjugate base
Heat exchange equation
q = mcat Heat flows from hot to cold; Heat gained by water = heat lost by object
Trigonal Bipyramidal Hybridization
sp^3d
Square Pyramidal Hybridization
sp^3d^2
Octahedral Hybridizaiton
sp^3d^2 OR d^2sp^3
sp^3d^2 vs. d^2sp^3
sp^3d^2: Atomic orbitals of the same electron shell (Nonmetals); d^2sp^3: Atomic orbitals of two electron shells (Transition Metals)
Time of flight equation for projectile motion
t = 2*velocity / g ; time in flight is inversely proportional to gravity
Dipole moment formula
u = qd q = magnitude of charge d = distance b/w centers of charge dipole = polar no dipole = nonpolar
Sound wave velocity
v = sqrt K/density; where K is coefficient of stiffness for bulk modulus; sound waves travel faster in solids; increasing density causes sound wave speed to decrease
Rate of Effusion
vrms = sq(3RT) / M ; Rate of effusion is directly proportional to the square root of the T
Terminal velocty
vterm = mg/kA; kvtermA = mg; Terminal velocity inversely proportional to cross sectional area