Question

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. `2/3`
C. `4/3`
D. `5/3`

Answer 1

Correct Answer - A
In an adiabatic process,
`P propT^(gamma/(gamma-1)) propT^(3)` (given)
`:. (gamma)/(gamma-1)=3`
`3gamma-3=gamma`
`2gamma=3, gamma=3/2`