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

Options

A. `(3)/(2)`
B. `(5)/(3)`
C. `(7)/(2)`
D. `(4)/(3)`

Answer

A

Explanation

`T^((gamma)/(1-gamma))."P = constant or "PpropT^((gamma)/(gamma-1))`
`because " "PpropT^(3)`
`therefore " "(gamma)/(gamma-1)=3, gamma=(3)/(2)`