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During an adiabatic process the pressure...

During an adiabatic process the pressure of gas is found to be proportional to the cube of its absolute temperature. Then ratio `C_P/C_V` = ……..

A

`4/3`

B

2

C

`5/3`

D

`3/2`

Text Solution

Verified by Experts

The correct Answer is:
D
For adiabatic process `P prop T^(gamma/(gamma-1))` and it is given that `P prop T^3`, by comparing them,
`gamma/(gamma-1)=3`
`therefore gamma=3gamma-3`
`therefore 3=2gamma`
`therefore gamma=3/2`
`therefore C_P/C_V=3/2`
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