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During an adiabatic process, the pressur...

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio `C_P//C_V` for the gas is

A

`3/2`

B

`4/3`

C

`2`

D

`5/3`

Text Solution

Verified by Experts

The correct Answer is:
A
Given `P prop T^(3)` but we know for an adiabatic process, the pressure `P prop T^(gamma//gamma-1)`
so `(gamma)/(gamma-1) = 3 implies gamma=3/2implies(C_P)/(C_V) = 3/2` .
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