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Tardigrade
Question
Physics
A gas is compressed adiabatically till its temperature is doubled. The ratio of initial volume to final volume is
Q. A gas is compressed adiabatically till its temperature is doubled. The ratio of initial volume to final volume is
2213
230
COMEDK
COMEDK 2006
Thermodynamics
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A
2
7%
B
greater than 2
28%
C
less than 1
48%
D
between 1 and 2
16%
Solution:
For adiabatic process,
P
V
γ
=constant
or,
(
V
n
RT
)
V
γ
= constant
or,
T
V
(
γ
−
1
)
= constant
∴
T
1
V
1
(
γ
−
1
)
=
T
2
V
2
(
γ
−
1
)
Here,
T
2
=
2
T
1
So,
2
T
1
V
2
(
γ
−
1
)
=
T
1
V
1
(
γ
−
1
)
or,
V
2
V
1
=
(
2
)
1
(
γ
−
1
)
>
2