Name: ________________________
Hour: ____ Date: ___________
Chemistry: Density Problems
For each problem below, write the equation and show your work. Always use units and box in your final answer.
1. The density of silver (Ag) is 10.5 g/cm3. Find the mass of Ag that occupies 965 cm 3 of space.
2. A 2.75 kg sample of a substance occupies a volume of 250.0 cm 3. Find its density in g/cm 3.
3. Under certain conditions, oxygen gas (O2) has a density of 0.00134 g/mL. Find the volume occupied by
250.0 g of O2 under the same conditions.
4. Find the volume that 35.2 g of carbon tetrachloride (CCl4) will occupy if it has a density of 1.60 g/mL.
5. The density of ethanol is 0.789 g/mL at 20oC. Find the mass of a sample of ethanol that has a volume of
150.0 mL at this temperature.
6. 30.0 g of each of the following acids are needed. Find the volume of each that must be measured out in a
graduated cylinder.
A. hydrochloric acid (HCl), density = 1.164 g/mL
B. sulfuric acid (H2SO4), density = 1.834 g/mL
C. nitric acid (HNO3), density = 1.251 g/mL
7. A rectangular block of lead (Pb) measures 20.0 mm X 30.0 mm X 45.0 mm. If the density of Pb is 11.34
g/cm3, calculate the mass of the block.
8. A cube of gold (Au) has a side length of 1.55 cm. If the sample is found to have a mass of 71.9 g, find the
density of Au.
9. An irregularly-shaped sample of aluminum (Al) is put on a balance and found to have a mass of 43.6 g. The
student decides to use the water-displacement method to find the volume. The initial volume reading is
25.5 mL and, after the Al sample is added, the water level has risen to 41.7 mL. Find the density of the Al
sample in g/cm3. (Remember: 1 mL = 1 cm 3.)
10. If you are sure that a sample of material is aluminum but have no measuring instruments AND are not
allowed to handle the sample, how would you determine the sample’s density?
11. A gas has a mass of 3175 g and takes up enough space to fill a room that is 2.00 m X 2.00 m X 5.00 m.
Use the table below, which lists densities in units of g/mL to help you determine what the gas is. (Hint:
Change the units on the size of the room.)
Densities of Common Gases at 20oC
under Normal Atmospheric Pressure
Answers:
Gas
Density (g/mL)
Hydrogen
0.000084
Helium
0.000166
Nitrogen
0.001165
Oxygen
0.001331
1.
2.
3.
4.
5.
1.01 x 104 g Ag
11 g/cm3
1.87 x 105 mL
22.0 mL
118.35 g ethanol
6A.
6B.
6C.
7.
8.
25.8 mL HCl
16.4 mL H2SO4
24.0 mL HNO3
306 g Pb
19.3 g/cm3
9. 2.69 g/cm3
11. helium
KEY
Chemistry: Density Problems
For each problem below, write the equation and show your work. Always use units and box in your final answer.
1. The density of silver (Ag) is 10.5 g/cm 3. Find the mass of Ag that occupies 965 cm 3 of space.
m  D V

m  (10.5 g/cm 3 )  965 cm3
m  10133 g

2. A 2.75 kg sample of a substance occupies a volume of 250.0 cm 3. Find its density in g/cm 3.
 1000 g 
  275 0 g
x g  2.75 kg
 1kg 
D 
m
V
m 
2750 g
3
250.0 cm
m  11.0
g
cm3
3. Under certain conditions, oxygen gas (O2) has a density of 0.00134 g/mL. Find the volume occupied by
250.0 g of O2 under the same conditions.
V 
m
D
V 
250.0 g O 2
0.00134 g mL
V  1.87  10 5 mL O 2
4. Find the volume that 35.2 g of carbon tetrachloride (CCl4) will occupy if it has a density of 1.60 g/mL.
V 
m
D
V 
35.2 g CCl 4
1.60 g mL
V  22.0 mL CCl 4
5. The density of ethanol is 0.789 g/mL at 20oC. Find the mass of a sample of ethanol that has a volume of
150.0 mL at this temperature.
m  D V
m  (0.789 g/mL)  150.0 mL 
m  118.4 g ethanol
6. 30.0 g of each of the following acids are needed. Find the volume of each that must be measured out in a
graduated cylinder.
A.
hydrochloric acid (HCl), density = 1.164 g/mL
V 
m
D
V 
30.0 g HCl
1.164 g mL
V  25.8 mL HCl
B. sulfuric acid (H2SO4), density = 1.834 g/mL
V 
m
D
V 
30.0 g H2 SO 4
1.834 g mL
V  16.4 mL H2 SO 4
C. nitric acid (HNO3), density = 1.251 g/mL
V 
m
D
V 
30.0 g HNO 3
1.25 g mL
V  24.0 mL HNO 3
KEY – Page 2
Chemistry: Density Problems
7. A rectangular block of lead (Pb) measures 20.0 mm X 30.0 mm X 45.0 mm. If the density of Pb is 11.34
g/cm3, calculate the mass of the block.
m  DV

V  length  width  height
V  length  width  height
g 

m  11.34
 27 cm3
V  45.0 mm 20.0 mm 30.0 mm  V  4.5 cm2.0 cm3.0 cm
cm3 

V  27,000 mm 3

V  27.0 cm3
m  306 g Pb
1 cm  10 mm
1 cm3  10 mm 3
1 cm1 cm1 cm  10 mm 10 mm 10 mm 
 1 cm3 
  27 cm3
x cm3  27,000 mm 3 
 1000 mm 3 


1 cm3  1000 mm 3
8. A cube of gold (Au) has a side length of 1.55 cm. If the sample is found to have a mass of 71.9 g, find the
density of Au.
V  l ength   width    height 
V  1.55 cm1.55 cm1.55 cm
D 
V  3.72 cm3
m
V
D 
71.9 g
D  19.3
3
3.72 cm
g
cm3
9. An irregularly-shaped sample of aluminum (Al) is put on a balance and found to have a mass of 43.6 g. The
student decides to use the water-displacement method to find the volume. The initial volume reading is 25.5
mL and, after the Al sample is added, the water level has risen to 41.7 mL. Find the density of the Al sample in
g/cm3. (Remember: 1 mL = 1 cm 3.)
41.7 mL
- 25.5 mL
16.2 mL
final
initial
D 
volume
m
V
D 
43.6 g
16.2 mL
D  2.69
g
mL
10. If you are sure that a sample of material is aluminum but have no measuring instruments AND are not
allowed to handle the sample, how would you determine the sample’s density?
Look it up in a reference book (or online).
11. A gas has a mass of 3175 g and takes up enough space to fill a room that is 2.00 m X 2.00 m X 5.00 m.
Use the table below, which lists densities in units of g/mL to help you determine what the gas is.
(Hint: Change the units on the size of the room.)
Densities of Common Gases at 20oC
under Normal Atmospheric Pressure
Gas
Density (g/mL)
Hydrogen
0.000084
Helium
0.000166
Nitrogen
0.001165
Oxygen
0.001331
V  2.00 m2.00 m 5.00 m
V  200 cm200 cm500 cm
V  2.00  10 7 cm3
D 
m
V
D 
3175 g
2.00  10 cm
7
3
D  1.59  10 -4
g
cm3
Answers:
1.
2.
3.
4.
5.
1.01 x 104 g Ag
11 g/cm3
1.87 x 105 mL
22.0 mL
118.35 g ethanol
6A.
6B.
6C.
7.
8.
25.8 mL HCl
16.4 mL H2SO4
24.0 mL HNO3
306 g Pb
19.3 g/cm3
9. 2.69 g/cm3
11. helium