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AIEEE 2011 Solved Paper
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© examsnet.com
Question : 42
Total: 91
A thermally insulated vessel contains an ideal gas of molecular mass
M
and ratio of specific heats
γ
. It is moving with speed
v
and it's suddenly brought to rest. Assuming no heat is lost to the surroundings, Its temperature increases by:
(
γ
−
1
)
2
γ
R
M
v
2
K
γ
M
2
v
2
R
K
(
γ
−
1
)
2
R
M
v
2
K
(
γ
−
1
)
2
(
γ
+
1
)
R
M
v
2
K
Validate
Solution:
Here, work done is zero.
So, loss in kinetic energy
=
change in internal energy of gas
1
2
m
v
2
=
n
C
v
∆
T
=
n
R
γ
−
1
∆
T
1
2
m
v
2
=
m
M
R
γ
−
1
∆
T
∴
∆
T
=
M
v
2
(
γ
−
1
)
2
R
K
© examsnet.com
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