An ideal gas γ = 1.5 undergoes a thermodynamic process in which the temperature and pressure of the gas are related as T - 1 P 2 = constant. The molar heat capacity of the gas during the process is

Step-by-step solution

T - 1 P 2 = constant ⇒ P V - 1 = constant For a polytropic process P V x = constant, the molar heat capacity is C = R 1 γ - 1 + 1 1 - x Substituting the values we get C = R 1 1 . 5 - 1 + 1 1 - - 1 = 5 2 R