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Test Index
JEE Main Physics Class 11 Kinetic Theory of Gases Part 1 Questions
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Question : 6
Total: 100
Given below are two statements :
Statement I : When
µ
amount of an ideal gas undergoes adiabatic change from state
(
P
1
,
V
1
,
T
1
)
to state
(
P
2
,
V
2
,
T
2
)
, then work done is
W
=
µ
R
(
T
2
−
T
1
)
1
−
γ
, where
γ
=
C
p
C
v
and
R
=
universal gas constant.
Statement II : In the above case, when work is done on the gas, the temperature of the gas would rise.
Choose the correct answer from the options given below :
[28-Jun-2022-Shift-1]
Both Statement I and Statement II are true.
Both Statement I and Statement II are false.
Statement I is true but Statement II is false.
Statement I is false but Statement II is true.
Validate
Solution:
W
=
µ
R
(
T
2
−
T
1
)
1
−
r
for a polytropic process for adiabatic process
r
=
γ
⇒
Statement I is true.
In an adiabatic process
∆
U
=
−
∆
W
⇒
If work is done on the gas
⇒
∆
W
is negative
⇒
∆
U
is positive or temperature increases
⇒
Statement II is true
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