During an adiabatic process, the pressure of a gas is found to be proportional to the cube of absolute temperature. The ratio C_p C_V for the gas is

Step-by-step solution

Given, that p T^3 or p T⁻³= constant (i) Also for adiabatic process, pV ^ = constant But p V=R T (ideal gas law) or V= R T p aligned p ( R T p )^ & = constant p^ 1- T^ & = constant aligned or p T^ /(1- ) = constant (ii) Equating Eqs. (i) and (ii), we get 1- =-3 or =-3+3 or 2 =3 = 3 2 C_p C_V = 3 2