1.
The pressures
p
and volumes
V
of five ideal gases are given below. If each has the same number of molecules, which has the highest temperature?
A.
p
= 1 × 10
^{5}
Pa and
V
= 10cm
^{3}
B.
p
= 3 × 10
^{5}
Pa and
V
= 6 cm
^{3}
C.
p
= 4 × 10
^{5}
Pa and
V
= 4 cm
^{3}
D.
p
= 6 × 10
^{5}
Pa and
V
= 2 cm
^{3}
E.
p
= 8 × 10
^{5}
Pa and
V
= 2 cm
^{3}
2.
An ideal gas occupies 12 liters at 20 º
C and 1 atm (76 cm Hg). Its temperature is now raised to 100 ºC and its pressure increased to 215 cm Hg. The new volume is:
A.
0.2 liters
B.
5.4 liters
C.
13.6 liters
D.
20.8 liters
E.
none of these
3.
An adiabatic process for an ideal gas is represented on a
p-V
diagram by:
A.
a horizontal line
B.
a vertical line
C.
a hyperbola
D.
a circle
E.
none of these
4.
A given mass of gas is enclosed in a suitable container so that it may be maintained at constant volume. Under these conditions, there can be no change is what property of the gas?
A.
Pressure
B.
Density
C.
Molecular kinetic energy
D.
Internal energy
E.
Temperature
5.
Over 1 cycle of a cyclic process in which a system does net work on its environment:
A.
the change in the pressure of the system cannot be zero
B.
the change in the volume of the system cannot be zero
C.
the change in the temperature of the system cannot be zero
D.
the change in the internal energy of the system cannot be zero
E.
none of the above
6.
The mass of an oxygen molecule is 16 times that of a hydrogen molecule. At room temperature, the ratio of the rms speed of an oxygen molecule to that of a hydrogen molecule is:
A.
16
B.
4
C.
1
D.
1/4
E.
1/16
7.
The number of degrees of freedom of a rigid diatomic molecule is:
A.
2
B.
3
C.
4
D.
5
E.
6
8.
Five molecules have speeds of 2.8, 3.2, 5.8, 7.3, and 7.4 m/s. Their root-mean-square speed is closest to:
A.
5.3 m/s
B.
5.7 m/s
C.
7.3 m/s
D.
28 m/s
E.
32 m/s
9.
An ideal gas of
N
monatomic molecules is in thermal equilibrium with an ideal gas of the same number of diatomic molecules and equilibrium is maintained as temperature is increased. The ratio of the internal energies
E
_{dia}
/
E
_{mon}
is:
A.
1/2
B.
3/5
C.
1
D.
5/3
E.
2
10.
When work
W
is done on an ideal gas of
N
diatomic molecules in thermal isolation the temperature increases by:
A.
W
/2
Nk
B.
W
/3
Nk
C.
2
W
/3
Nk
D.
2
W
/5
Nk
E.
W
/
Nk
11.
According to the Maxwellian speed distribution, as the temperature increases the most probable speed:
A.
increases
B.
decreases
C.
increases at high temperatures and decreases at low
D.
decreases at high temperatures and increases at low
E.
stays the same
12.
An ideal gas has molar specific heat
C
_{p}
at constant pressure. When the temperature of n moles is increased by
D
T
the increase in the internal energy is:
A.
nC
_{p}
D
T
B.
n
(
C
_{p}
+
R
)
D
T
C.
n
(
C
_{p}
–
R
)
D
T
D.
n
(2
C
_{p}
+
R
)
D
T
E.
n
(2
C
_{p}
–
R
)
D
T
13.
In a certain gas the molecules are 5.0 × 10
^{–9}
m apart on average, have a mean free path of 5.0 × 10
^{–6}
m, and have an average speed of 500 m/s. The rate at which a molecule suffers collisions is about:
A.
10
^{–11}
s
^{–1}
B.
10
^{–8}
s
^{–1}
C.
1 s
^{–1}
D.
10
^{8}
s
^{–1}
E.
10
^{11}
s
^{–1}
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