#### Transcript Chapter 10

```Chapter 10
Practice Test Questions - Problems
Multiple Choice – Question 1
1. An ideal gas confined in a box initially has pressure p. If
the absolute temperature of the gas is tripled and the
volume of the box is doubled the pressure is
(A) p/8 (B) p/4 (C) 3p/2 (D) 2p/3 (E) 2p
C) 3p/2
Multiple Choice – Question 2
2. An ideal gas in a closed container initially has volume V,
pressure P. and Kelvin temperature T. If the temperature
is changed to 2T, which of the following pairs of pressure
and volume values is possible?
(A) 2P and V (B) P and V
(C) P and V/2
(D) P/2 and V
(E) 2P and 2V
(A) 2P and V
Multiple Choice – Question 3
3. A mass m of helium gas is in a container of constant
volume V. It is initially at pressure p and absolute
(Kelvin) temperature T. Additional helium is added,
bringing the total mass of helium gas to 5m. After this
addition, the temperature is found to be 3T. What is the
gas pressure?
(A) 3 p (B) 3/5 p (C) 5 p (D) 5/3 p (E) 15 p
(E) 15p
Multiple Choice – Question 4
4. What temperature change on the Fahrenheit
scale is equivalent to a 10 degree change on
the Kelvin scale?
(A) 283 K (B) 273 K (C) 18 K (D) 10 K (E) 0
(C) 18 F
Multiple Choice – Question 5
5. According to the kinetic theory of gases, when the
absolute temperature of an ideal gas triples, the
average kinetic energy of the molecules of the gas
(A) triples (B) one third (C) stays the same
(D) is one sixth (E) is six times
(A) triples
Multiple Choice – Question 6
6. A new monatomic ideal gas is discovered and named
“Gasium”. A pure 2-mole sample is sitting in a container
at equilibrium in a 40.0ºC environment. According to the
kinetic theory of gases, what is the average kinetic
energy per molecule for this gas?
(A) 4.14 × 10–22 J (B) 3652 J (C) 6.48 × 10–21 J (D)
2.02 × 10–21J
(E) The molar mass of the gas is needed to answer this
question.
(C) 6.48 × 10–21 J
Multiple Choice – Question 7
7. A monatomic ideal gas at pressure P = 105 Pa is in a
container of volume V = 10 m3 while at temperature T =
30ºC. How many molecules of gas are in the
container?
(A) 447 (B) 2888 (C) 6.02 × 1023
(D) 2.39 × 1026 (E) 1.74 × 1027
(D) 2.39 × 1026
Multiple Choice – Question 8
8. One mole of an ideal gas has a temperature of 50°C. If
this gas fills the 5.0m3 volume of a closed container,
what is the pressure of the gas?
(A) 0.821 Pa (B) 537 Pa (C) 83.1 Pa
(D) 310 Pa (E) 1.84 × 1024 Pa
(B) 537 Pa
Multiple Choice – Question 9
9. Suppose the ends of a 20 m long steel beam are rigidly
clamped at 0 oC to prevent expansion. The rail has a
cross-sectional area of 50 cm 2. What force does the
beam exert when it is heated to 80 oC?
(steel = 1.1 x 10 –5/ oC, Ysteel = 2.0 x 10 11N / m 2).
a. 8.8 x 10 5N
b. 8.8 x 10 4N
c. 1.76 x 10 6N
d. 6.5 x 10 2N
A) 8.8 x 10 5N
Multiple Choice – Question 10
10. A steel wire, 125m in length at 10 oC, has a coefficient
of linear expansion of 11 x 10 –6/C o. Give its change in
length as the temperature increases to 75 oC.
 a. 0.65 cm
b. 8.9 cm
c. 0.89 cm d. 12 cm
b. 8.9 cm
Free Response Question
1. What is the vrms of oxygen molecules at 20 oC?
Mass of O2 = 5.3 x 10 –26 kg; K b = 1.38 x 10 –23 J/K
totalmass 5.3x1026
# moles 

 1.66 x1024
molarmass
.032
# atoms  (N A )(n)  (6.02x1023 )(1.66 x1024 )  1atom
5.3x1026 kg / atom
mass 
 5.3x1026 kg
1atom
vrms
3kbT
3(1.38x1023 )(293)
m



478.4
s
m
5.3x1026
Free Response Question
2. A 5.00 m3 container holds 12 moles of an ideal gas at a
pressure of 2.30 x 104 Pa. What is the gas temperature?
What is the vrms of the gas if it has a molecular weight of
28.0 x 10 -3 kg/mole? What is the KEavg for each molecule
of gas?
PV (2.30 x104 )(5.00)
T

 1153.2 K
nR
(12)(8.31)
vrms
3RT
3(8.31)(1153.2)
m



1013.3
s
M
28 x103
3
3
KE  K BT  (1.38 x1023 )(1153.2)  2.39 x10 20 J
2
2
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