Dimensional Analysis Answers

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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
2
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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
3

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
4

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
5

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
6

Sarah is ordering cheese pizza for a party of 10 people. She knows that each pizza has 8 slices. To figure out how many pizzas to order, Sarah needs to know the

A
cost of each pizza.
B
type of drink that each person prefers.
C
number of slices, on average, that each person will eat.
D
number of pizzas, on average, that the delivery person can carry.
7

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
8

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
9

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
10

A metal worker wants to figure out the cost of making a rectangular iron bar. He knows that the required dimensions of the bar are 8.0 cm (width), 0.40 cm (height), and 310 cm (length). If this kind of iron costs $0.015 per cm3, what is the cost of making the bar (to the nearest dollar)?

A
$5
B
$15
C
$37
D
$93

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