Practice Worksheet
Chapters 1011
Possibly Useful Information:
Ideal Gas Constant:
R
= 8.315 J/mol·K
Boltzmann’s Constant:
k
= 1.38 x 10
23
J/K
Avogadro’s Number:
N
A
= 6.02 x 10
23
mol
1
Specific Heat (Aluminum):
c
= 900 J/kg·K
Specific Heat (Iron):
c
= 450 J/kg·K
Specific Heat (Ice):
c
= 2100 J/kg·K
Specific Heat (Water):
c
= 4186 J/kg·K
Specific Heat (Steam):
c
= 2010 J/kg·K
Heat of Fusion (Water):
L
= 3.33 x 10
5
J/kg
Heat of Vaporization (Water):
L
= 2.26 x 10
6
J/kg
An ideal gas is placed in a container whose volume can be changed.
Initially the gas has a
volume of 3.00 m
3
, a temperature of 273 K, and a pressure of 1.013 x 10
5
N/m
2
.
1)
What is the average kinetic energy of the gas molecules in the container?
Answer:
5.65 x 10
21
J
2)
An oxygen atom has a mass
m
= 2.65 x 10
26
kg.
If the gas is composed of monatomic
oxygen, what is the average speed of the oxygen atoms in the gas?
Answer:
6.53 x 10
2
m/s
3)
A xenon atom has a mass
m
= 2.18 x 10
25
kg.
If the gas is composed of monatomic
xenon, what is the average speed of the xenon atoms in the gas?
Answer:
2.28 x 10
2
m/s
4)
How many gas atoms are in the container?
Answer:
8.06 x 10
25
atoms
An aluminum cup with a mass of 0.100kg contains 0.250 kg of glycerin.
Both the cup and
its contents have an initial temperature of 10°C.
A 0.290kg piece of iron at 180°C is placed
in the cup.
Eventually, the aluminum cup, the glycerin, and the iron all have a temperature
of 38°C
5)
How much heat leaves the iron?
Answer:
1.85 x 10
4
J
6)
How much heat enters the aluminum?
Answer:
2.52 x 10
3
J
7)
How much heat enters the glycerin?
Answer:
1.60 x 10
4
J
8)
What is the specific heat of glycerin?
Answer:
2.29 x 10
3
J/kg·K
A 10gram ice cube has been in a freezer at a temperature of 8.5°C for a long time.
It is
then removed from the freezer and placed in a 100g aluminum cup containing an
unknown amount of water.
The cup and the water have an initial temperature of 20°C.
Eventually, the cup contains nothing but water, and everything is at a temperature of 16°C.
9)
How much heat did the ice cube gain as it warmed to its melting temperature?
Answer:
1.79 x 10
2
J
10)
How much heat did the ice cube gain as it melted?
Answer:
3.33 x 10
3
J
11)
How much heat did the melted water gain as it warmed to its final temperature?
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 Spring '10
 Phys123
 Thermodynamics, Energy, Heat

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