AnswersCR SS Chemistry S2 201819 2026Scientific Notation and Significant Figures

Dimensional Analysis Answers

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An engineer wants to estimate the mass of gas that is present in a tank. She knows that 1.00 mol of the gas occupies a volume of 24.5 L at the set temperature and pressure. If the volume of the tank is 170.0 L and the molecular weight of the gas is 32.00 g/mol, what is the mass of gas in the tank?

A
130 g
B
222 g
C
784 g
D
5,440 g
2
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There are 12 inches (in.) in 1 foot (ft). Which expression can be used to find the number of inches in 2.5 feet?

A
mc028-1.jpg
Option A
B
mc028-2.jpg
Option B
C
mc028-3.jpg
Option C
D
mc028-4.jpg
Option D
3

The speedometer in Kevin’s car reads in both miles/hour and kilometers/hour. What information is needed to convert between these two units?

A
the number of miles in 1 kilometer
B
the number of kilometers that are traveled in 1 hour
C
the number of miles that are traveled in 1 hour
D
the number of hours per 1 kilometer
4

The density (mass/volume) of aluminum is 2.70 103 kilograms per cubic meter (kg/m3). What is the mass of an aluminum cylinder that has a volume of 1.50 m3?

Question illustration
A
5.56 10–4 kg
Option A
B
1.50 10–3 kg
Option B
C
1.80 103 kg
Option C
D
4.05 103 kg
Option D
5

The volume of a pond being studied for the effects of acid rain is 35 kiloliters (kL). There are 1,000 liters (L) in 1 kL and 1 106 microliters (mL) in 1 L. What is the volume of this pond in microliters?

Question illustration
A
3.5 104 mL
Option A
B
3.5 106 mL
Option B
C
3.5 107 mL
Option C
D
3.5 1010 mL
Option D
6

Jeffe is explaining dimensional analysis to a friend. He says that dimensional analysis can be used to convert between units. What is needed for this conversion?

A
an understanding of significant figures in metric units
B
an understanding of the difference between accuracy and precision of units
C
an equality that tells how much of one unit is equal to another unit
D
an algebra book that explains how linear equations can be set up with units
7

David’s mom wants to calculate how much it will cost to drive from Los Angeles, CA, to San Francisco, CA. Gas costs $4.00 a gallon, and the gas mileage of their car is 38 miles/gallon. What additional information does David’s mom need to do this calculation?

A
the size of the gas tank
B
the distance between the two cities
C
the number of times that the gas tank will be filled along the way
D
the speed limit on the highway between the two towns
8

The length of a copper wire is 1.6 centimeters (cm). What is the length of this wire in meters (m)?

A
1.6 10–3 m
Option A
B
1.6 10–2 m
Option B
C
1.6 102 m
Option C
D
1.6 103 m
Option D
9

Sarah wants to find out how much time it would take to drive from her home to New York. At an average, she would drive at 55 miles per hour. If the distance to be covered is 1150 km and a mile equals 1.61 km, how much time will the trip take (to the nearest hour)?

A
13 hours
B
21 hours
C
29 hours
D
34 hours
10

Myriah wants to use dimensional analysis to find out how many centimeters (cm) are in 1.4 meters (m). Which of these equalities will be useful for this calculation?

A
2.54 cm = 1 in.
B
1 m = 39.37 in.
C
1 cm = 10 mm
D
100 cm = 1 m
11

The molar mass of magnesium (Mg) is 24.30 g/mol. There are 6.02 1023 atoms in 1 mol. How many atoms are present in 48.60 g of Mg?

Question illustration
A
3.32 10–24 atoms
Option A
B
1.96 10–21 atoms
Option B
C
1.20 1024 atoms
Option C
D
7.11 1026 atoms
Option D
12

The molecular mass of octane is 114.22 g/mol. What is the mass of 22.05 mol of octane?

A
5.180 g
B
22.05 g
C
114.22 g
D
2,518 g
13

Devon knows that there are 3 teaspoons (tsp) in 1 tablespoon (tbsp). His cookie recipe calls for 6 tbsp of honey. Which expressions can be used to find the number of tsp in 6 tbsp?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

There are approximately 15 milliliters (mL) in 1 tablespoon (tbsp). Which expression can be used to find the approximate number of milliliters in 3 tbsp?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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