During an adiabatic process of an ideal gas, if P is proportional to `(1)/(V^(1.5)`, then the ratio of specific heat capacities at constant pressure to that at constant volume for the gas is

Options

A. 1.5
B. 0.25
C. 0.75
D. 0.4

Answer

A

Explanation

As `P propto 1/V^(1.5)`, So `PV^(1.5)` (`therefore` Process is adiabatic)
As we know, `C_(p)/C_(v) = gamma, therefore C_(p)/C_(v) = 1.5`