Dimensional Analysis Answers

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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
2
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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
3

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
4

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
5

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.
6

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
7

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
8

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
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

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

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