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The temperature of a hypothetical gas in...

The temperature of a hypothetical gas increases to `sqrt(2)` times when compressed adiabatically to half the volume. Its equation can be written as

A

`PV^(3//2)` constant

B

`PV^(5//2)` = constant

C

`PV^(7//3)`= constant

D

`PV^(4//3)` = constant

Text Solution

Verified by Experts

The correct Answer is:
A
For adiabatic process
`TV^(gamma-1)` = constant
`(T_1)/(T_2)=((V_2)/(V_1))^(gamma-1) implies (1/2)^(gamma-1)=1/sqrt2 implies gamma = 3/2`
`:. PV^(3//2)` = constant.
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