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CGPET 2018 Solved Paper
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© examsnet.com
Question : 25
Total: 150
An insulated box containing a diatomic gas of molar mass
M
is moving with a velocity
y
The box is suddenly stopped. The resulting change in temperature is (where,
R
is the gas constant)
M
v
2
2
R
M
v
2
3
R
M
v
2
5
R
2
M
v
2
5
R
Validate
Solution:
For diatomic gas,
f
=
5
Change in total internal energy of an diatomic ideal gas,
Δ
U
=
1
2
f
R
Δ
T
=
5
2
R
Δ
T
........(i)
Change in kinetic energy of box containing gas of molar mass
M
,
Δ
E
=
1
2
M
v
2
According to question,
Δ
E
=
Δ
U
∴
1
2
M
v
2
=
5
2
R
Δ
T
Hence, resultant change in temperature,
Δ
T
=
M
v
2
5
R
© examsnet.com
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