Chem Unit 2- Measurement and Calculations

4) work

$43.52/1 x 1gal/$3.35 x 31.2mi/1gal =

6a) From Nov. 2020 to now, the average price of gas has been around $2.65 per gallon. How much has Mr. Carr spent on gas?

$5212.0

Percent error formula

% error= (experimental [measured] value - accepted [true] value/accepted [true] value) x 100

1d) work

(240000mi/950000gal) x 2 =

1b) work

(384000000m/1 x 1s/300000000m) x 2 =

Robert conducted an experiment in which he investigated how much water a paper towel could absorb. Initially, Robert found that one paper towel can absorb 12.8g of water. Later he found that his scale was not calibrated, so he had to repeat the experiment. After repeating the experiment with a new scale, Robert found that one paper towel can actually absorb 32.9g of water. What is the approximate percent error between the findings of the first and second experiments?

-61%; [(12.8 - 32.9)/32.9] x 100 =

2) Convert 1645 cm to km

0.01645 km

1d) The 1967 Apollo mission to the moon used about 9.50 x 10^5 gallons of fuel for its round trip to the moon. What is Apollo's average miles per gallon?

0.505 mi/gal

How many significant figures are in the following measurement: 6000g

1 sig fig

2) work

1645cm/1 x 1m/100cm x 1km/1000m =

6) Mr. Carr has driven his car 58,413 miles since he purchased it in November of 2020. If his average miles per gallon from Nov. 2020 to now is 29.7 mi/gal. How many gallons of gas did he use?

1966.8 gal

6a) work

1966.8gal/1 x $2.65/1gal =

6b) work

1966.8gal/1 x 1min/10gal x 1hr/60min =

Determine the correct number of sig figs in the calculation below and solve: 8.2cm - 7.11cm

2 sig figs, 1.1cm

1b) The speed of light is 3.00 x 10^8 m/s. How long does it take for light to travel from earth to the moon and back again?

2.56 s

3) Convert 83.23 km/sec into in/days

2.848 x 10^11 in/days

Write the following number out of scientific notation: 2.3500 x 10^4 mL

23,500.mL

1a) work

240000mi/1 x 1.6km/1mi = 384000km; 384000km/1 x 1hr/350km x 60min/1hr x 60s/1min =

1) work

240000mi/1 x 1.6km/1mi x 1000m/1km =

1c) work

29.783km/1s x 1mi/1.6km x 60s/1min x 60min/1hr =

How many significant figures are in the following measurement: 400.mm

3 sig figs

Determine the correct number of sig figs in the calculation below and solve: 0.8102m x 3.44m

3 sig figs, 2.79m

Write the following number into scientific notation: 0.000003010

3.010 x 10^-6

6b) The flow rate of gasoline coming out of a pump is about 10. gal/min. How many hours has Mr. Carr spent pumping his gas since he purchased his car?

3.2780 hr

1) The distance between the earth and the moon is approximately 2.40 x 10^5 miles (1 mile = 1.6 km). What is the distance in meters?

3.84 x 10^8 m

1a) The peregrine falcon has been measured as traveling up to 350 km/hr in a dive. If this falcon could fly to the moon at this speed, how many seconds would it take?

3.95 x 10^6 s

How many significant figures are in the following measurement: 0.4004mL

4 sig figs

Determine the correct number of sig figs in the calculation below and solve: 94.20g/3.16722mL

4 sig figs, 29.74g/mL

Determine the correct number of sig figs in the calculation below and solve: 6.078g + 0.3329g

4 sig figs, 6.412g

5) It is 4172 miles from Bellwood to Anchorage, Alaska. If you were traveling at a constant speed of 75 mph, how many days would it take you to travel there and back?

4.636 days

6c) A penny is about 0.750 inches in diameter. How many pennies would it take to cover a distance of 58,413 miles? How much money would that be?

4.9347 x 10^9 pennies and $4.9347 x 10^7

Write the following number out of scientific notation: 4.00005 x 10^7 mg

40,000,500mg

4) With $43.52, how far can your car travel if your miles per gallon is 31.2? The price of gas is $3.35 per gallon.

405.3 mi

Write the following number into scientific notation: 50000.0

5.00000 x 10^4

6) work

58413mi/1 x 1gal/29.7mi =

6c) work

58413mi/1 x 5280ft/1mi x 12in/1ft x 1/0.750in = 4.9347 x 10^9 pennies; (4.9347 x 10^9)/100 =

How many significant figures are in the following measurement: 1.00030km

6 sig figs

1c) Earth travels around the Sun at an average speed of 29.783 km/s. Convert this speed to miles per hour.

6.7012 x 10^4 mi/hr

Write the following number into scientific notation: 0.0006730

6.730 x 10^-4

Write the following number out of scientific notation: 7.050 x 10^3 g

7,050.g

3) work

83.23km/1sec x 1mi/1.6km x 12in/1ft x 60sec/1min x 60min/1hr x 24hr/1day =

5) work

8344mi/1 x 1hr/75mi x 1 day/24hr =

Density

A ratio of an object's mass and volume

SI Unit

A system of international units

Derived Unit

A unit of measurement that is a combination of SI units

Significant Figure Rule #1

All digits not zero are significant (1234cm = 4 sig figs, 9.47ft = 3 sig figs)

Significant Figure Rule #6

Anything before "x 10" in scientific notation is significant (4.000 x 10^-9 = 4 sig figs)

Accuracy

Comparing a measurement to a true/correct value

Precision

Comparing a set of measurements to each other

Formula for density

D=m/v

Formula for mass

M=vd

Are the below measurement precise or accurate? 56.000mg, 55.990mg, 55.010mg

Precise

Percent Error

Tells you how accurate your value is

Significant Figure Rule #4

The zeros at the end of the number and after the decimal place are significant (85.00mi = 4 sig figs, 9.000 000 000L = 10 sig figs)

Significant Figure Rule #7

There are two times where we have unlimited infinite significant figures: counting and conversions (counting 22 students, 12in = 1ft)

Conversion Factors

Two units equal to each other, used as a way to convert between units

Dimensional Analysis

Using units to help us get a correct answer

Formula for volume

V=m/d

Significant Figure Rule #3

Zeros appearing after a decimal point are not significant until you hit a non-zero digit (0.009507ft = 4 sig figs, 0.0004500m = 4 sig figs)

Significant Figure Rule #5

Zeros at the end of a number are not significant unless a decimal is present (2000m = 1 sig fig, 2000.m = 4 sig figs)

Significant Figure Rule #2

Zeros between two non-zero digits are significant (40.7L = 3 sig figs, 87.003m = 5 sig figs)

What is the SI base unit for temperature?

kelvin (K)

What is the SI base unit for mass?

kilogram (kg)

When conversing into scientific notation, if it is positive move ______?

left

When conversing out of scientific notation, if it is negative move ______?

left

Derived Unit for Area

m^2

What is the SI base unit for length?

meter (m)

What is the SI base unit for amount of substance?

mole (mol)

Organize these SI units from smallest to largest: Km, hm, GMM, mm, nm, dm, pm, cm

pm, nm, mm, cm, dm, hm, Km, Gm

When conversing out of scientific notation, if it is positive move ______?

right

When converting into scientific notation, if it is negative move ______?

right

What is the SI base unit for time?

second (s)