During an adiabatic process, the pressure of a gas is proportional to the cube of its temperature. The value of C_p / C_V for that gas is

Step-by-step solution

In adiabatic process Given, p T^3 or p=k T^3 aligned & =k ( p V R )^3 & = ( k R^3 ) p^3 V^3 or p & = ( k R^3 ) p^3 V^3 p^2 V^3 & =k aligned Comparing Eqs. (i) and (ii) we get = 3 2 = C_p C_V