## Question 1

500 grams of sugar occupies a volume of 0.315 liters. What is the density of the sugar in grams per milliliter?

## Question 2

The density of a substance is 1.63 grams per milliliter. What is the mass of 0.25 liters of the substance in grams?

## Question 3

The density of pure solid copper is 8.94 grams per milliliter. What volume does 5 kilograms of copper occupy?

## Question 4

What is the mass of a 450 centimeter³ block of silicon if the density of silicon is 2.336 grams/centimeter³?

## Question 5

What is the mass of a 15 centimeter cube of iron if the density of iron is 7.87 grams/centimeter³?

## Question 6

Which of the following is greater?

a. 7.8 grams per milliliter or 4.1 μg/μL

b. 3 x 10^{-2} kilograms/centimeters^{3} or 3 x 10^{-1} milligrams/centimeter^{3}

## Question 7

Two liquids, A and B, have densities 0.75 grams per milliliter and 1.14 grams per milliliter, respectively.

When both liquids are poured into a container, one liquid floats on top of the other. Which liquid is on top?

## Question 8

How many kilograms of mercury would fill a 5-liter container if the density of mercury is 13.6 grams/centimeter³?

## Question 9

How much does 1 gallon of water weigh in pounds?

Given: Density of water = 1 gram/centimeter³

## Question 10

How much space does 1 pound of butter occupy if the density of butter is 0.94 grams/centimeter³?

## Answers

1. 1.587 grams per milliliter

2. 407.5 grams

3. 559 milliliter

4. 1051.2 grams

5. 26561 grams or 26.56 kilograms

6. a. 7.8 grams per milliliter b. 3 x 10^{-2} kilograms/centimeter^{3}

7. Liquid A. (0.75 grams per milliliter)

8. 68 kilograms

9. 8.33 pounds (2.2 kilograms = 1 pound, 1 liter = 0.264 gallons)

10. 483.6 centimeters³

## Tips for Answering Density Questions

When you're asked to calculate density, make sure your final answer is given in units of mass (such as grams, ounces, pounds, kilograms) per volume (cubic centimeters, liters, gallons, milliliters). You may be asked to give an answer in different units than you're given. It's a good idea to be familiar with how to perform unit conversions when working on these problems.

The other thing to watch is the number of significant figures in your answer. The number of significant figures will be the same as the number in your least precise value. So, if you have four significant digits for mass but only three significant digits for volume, your density should be reported using three significant figures. Finally, check to make sure your answer is reasonable. One way to do this is to mentally compare your answer against the density of water (1 gram per cubic centimeter). Light substances would float on water, so their density should be less than that of water. Heavy materials should have density values greater than that of water.