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Unit 1 Worksheet 4 – Applied density problems
1. Determine the density of each metal. Show all your work and include appropriate units.
Density = mass/Volume
A: 50.0 g/4.9mL = 10 g/mL
B: 78g/10.0ml = 7.8 g/mL
2. From the graph, estimate
a. the mass of 8.0 cm3 of metal A.
b. the volume of 70 g of metal B.
80 g
9 mL
c. mark on the graph how you found the answers above.
Modeling Chemistry
U1 ws 4 v2.0
3. In the space above right, use the density of B as a factor to determine the answer to 2b. Show the
set-up including how the units cancel.
V/D=m
70mL/7.8g/mL = Xg
9g = Xg
9g
4. Ethanol has a density of 0.789 g/cm3.
a. What is the mass of 225 cm3 of ethanol?
4.5 = V * 100/ 225
V = 10.125 mL
mass = 10.125 mL x 0.789 g/mL
mass = 7.99 g
b. What is the volume of 75.0 g of ethanol?
m/D=V
75.0g/0.789g/mL = Xg
95.0g = X
5. What is the density of water in g/mL? What does that mean?
1.00 g/mL. This means that for every mL of water, it will weight 1 gram.
6. The cup is a volume widely used by cooks in the U.S. One cup is equivalent to 237 cm3. If 1
cup of olive oil has a mass of 216 g, what is the density of olive oil in g/cm3?
216 g
0.911g / cm 3
3
237cm
7. What would you expect to happen if the cup of olive oil in question 6 is poured into a container
of ethanol? Why?
Olive oil is denser than ethanol so it will sink to the bottom of the container.
Gold has a density of 19.3 g/ cm3. A cube of gold measures 4.23 cm on each edge:
8. What is the volume of the cube?
Volume  30cm x 30cm x 40cm  36,000 cm 3
9. What is its mass? How many significant figures should you include in your answer and why?
19.3 g
1 kg
xg

x  694,800 g x
 694.8 kg, 700 kg (one sig . fig.)
3
1mL
1000 g
36,000 cm
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10. A standard backpack is approximately 30cm x 30cm x 40cm. Suppose you find a hoard of pure
gold while treasure hunting in the wilderness. How much mass would your backpack hold if you
filled it with the gold? An average student has a mass of 70 kg. How do these values compare?
The backpack of gold has ten times the mass of an average student.
Modeling Chemistry
U1 ws 4 v2.0