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Byju's Answer
Standard XII
Physics
P-T Relationship
An ideal gas ...
Question
An ideal gas having initial pressure
P
, volume
V
and temperature
T
is allowed to expand adiabatically until its volume becomes
5.55
V
while its temperature falls to
T
2
. How many degrees of the freedom do the gas molecules have?
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Solution
T
V
γ
−
1
=
constant (Adiabatic change)
T
1
V
γ
−
1
1
=
T
2
V
γ
−
1
2
T
1
T
2
=
(
V
2
V
1
)
γ
−
1
T
2
=
T
1
2
V
2
=
5.55
V
1
2
=
(
5.55
)
γ
−
1
Taking log on both sides we get;
γ
−
1
=
log
(
2
)
log
(
5.55
)
=
0.4
γ
−
1
=
2
f
=
0.4
(
γ
=
1
+
2
f
)
∴
f
=
5
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Similar questions
Q.
An ideal gas having initial pressure
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volume
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