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JEE Advanced 2015 Paper 1
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© examsnet.com
Question : 17
Total: 60
A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equillibrium at temperature T. Assuming the gases are ideal the correcr statemnt(s) is (are )
The average energy per mole of the gas mixture is 2RT
The ratio of speed of sound of i the gas mixture to that in helium gas is
√
6
5
.
The ratio of the rms speed of helium atoms to that hydrogen molecules is
1
2
The ratio of the rms speed of helium atoms to that hydrogen molecules is
1
√
2
Validate
Solution:
U
=
n
C
v
1
T
+
n
C
v
2
T
=
1
×
5
2
R
T
+
3
2
R
T
=
4
R
T
⇒
2
C
V
m
i
x
T
=
4
R
T
Average energy per mole
=
2
R
T
⇒
C
V
m
i
x
=
2
R
C
m
i
x
C
H
o
=
√
(
γ
m
i
x
γ
H
o
)
(
M
H
e
M
m
i
x
)
=
√
3
2
×
3
5
×
4
3
=
√
6
5
V
r
m
s
H
e
V
r
m
s
H
2
=
√
M
H
2
M
H
e
=
1
√
2
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