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Tardigrade
Question
Physics
The pressure ( P ) and temperature ( T ) relationship of an ideal gas obeys the equation PT 2= constant. The volume expansion coefficient of the gas will be :
Q. The pressure
(
P
)
and temperature
(
T
)
relationship of an ideal gas obeys the equation
P
T
2
=
constant. The volume expansion coefficient of the gas will be :
2778
140
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JEE Main 2023
Kinetic Theory
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A
3
T
2
24%
B
T
2
3
22%
C
T
3
3
35%
D
T
3
25%
Solution:
P
T
2
=
constant, Using
P
V
=
n
RT
P
=
V
n
RT
P
T
2
=
V
n
RT
×
T
2
=
constant
⇒
T
3
=
K
V
So,
d
T
d
(
K
V
)
=
3
T
2
⇒
d
T
K
d
V
=
3
T
2
⇒
d
V
=
K
3
T
2
d
T
d
V
=
Vγ
d
T
⇒
γV
=
K
3
T
2
⇒
γ
=
K
V
3
T
2
=
T
3
3
T
2
=
T
3