Dimensional Analysis Answers

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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?

3.32 10–24 atoms

1.96 10–21 atoms

1.20 1024 atoms

7.11 1026 atoms

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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)?

$15

$37

$93

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

the number of miles in 1 kilometer

the number of kilometers that are traveled in 1 hour

the number of miles that are traveled in 1 hour

the number of hours per 1 kilometer

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?

130 g

222 g

784 g

5,440 g

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

cost of each pizza.

type of drink that each person prefers.

number of slices, on average, that each person will eat.

number of pizzas, on average, that the delivery person can carry.

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?

2.54 cm = 1 in.

1 m = 39.37 in.

1 cm = 10 mm

100 cm = 1 m

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)?

13 hours

21 hours

29 hours

34 hours

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

1.6 10–3 m

1.6 10–2 m

1.6 102 m

1.6 103 m

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?

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

5.180 g

22.05 g

114.22 g

2,518 g

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