1 · Chemistry Foundations

South Pasadena • Chemistry
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1 · Chemistry Foundations
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1. Consider two metal cubes, Cube 1 and Cube 2. (Make sure you fully understand these before continuing.)
a.
If the two cubes have the same mass, but cube 1 has half the volume as cube 2, which
has a greater density?
b.
The two cubes are both solid copper, but Cube 1 has twice the volume as Cube 2. Which
has a greater density?
c.
Cube 1 has a mass of 5 kg and Cube 2 has a mass of 20 kg. If they occupy the same
volume, which has a greater density?
Cube 2
d.
Cube 1 has a greater density than Cube 2. Which occupies a larger volume, a 2-kg block
of Cube 1 or a 2-kg block of Cube 2?
Cube 2
2. A 12.0 cm3 bar of lead metal has a mass of 136 g. What is the density of lead?
m = 136 g
V = 12.0 cm3
136 g
m
D=?
D= =
= 11.3 g/cm3
V 12.0 cm3
3. Liquid mercury has a density of 13.546 g/cm3. What is the mass of 5.0 cm3 of mercury?
m=?
V = 5.0 cm3
13.546 g
D = 13.546 g/cm3
m = V × D = (5.0 cm3)
 1 cm3  = 68 g
4. Diamond has a density of 3.500 g/cm3. What is the volume that a 8.5 g piece of diamond?
m = 8.5 g
V=?
8.5 g
m
D = 3.500 g/cm3
V=
=
= 2.4 cm3
D 3.500 g/cm3
5. A piece of cork has a mass of 21.62 g. When placed in a graduated cylinder originally
filled with 30.0 mL of water, the level of the water rose to 35.2 mL. What is the density of the
cork?
m = 21.62 g
V = 35.2 mL – 30.0 mL = 5.2 mL
m 21.62 g
D=?
D=
=
= 0.61 g/mL
V 5.2 mL
Cube 1
Same
6. A balloon filled with helium gas has a volume of 1.25 L. If the density of helium gas (at
STP) is 0.164 g/L, what is the mass of the gas in the balloon?
m=?
V = 1.25 L
0.164 g
D = 0.164 g/L
m = V × D = (1.25 L)
 1 L  = 0.205 g
7. A 461-g block of a block of iron is shaped in a rectangular prism has dimensions 10.5 cm × 12.0 cm ×
0.50 cm?
a. What is the density of this block?
m = 461 g
V = (10.5 cm)(12.0 cm)(0.50 cm) = 63 cm3
461 g
m
D=?
D=
=
= 7.3 g/cm3
V 63 cm3
b.
If the accepted value for the density of iron is 7.870 g/cm3, what is the % error?
| calculated − accepted |
| 7.3 g/cm3 - 7.870 g/cm3 |
% error =
× 100% =
× 100%
accepted
7.870 g/cm3
= 7%
8. A 5.64-g piece of plastic has a volume of 4.8 cm3. If water has a density of 1 g/cm3, will the
plastic sink or float?
m = 5.64 g
V = 4.6 cm3
5.64 g
m
D=?
D=
=
= 1.2 g/cm3
V 4.8 cm3
Because the density of plastic is greater than the density of water, the plastic will sink.
9. The density of water is 1 g / mL. Express this in kg/L.
1 g  1 kg  1000 mL
= 1 kg/L
1 mL 1000 g  1 L 