In an adiabatic change, the pressure and temperature of a monoatomic gas are related with relation p T^ C , where C is equal to

Step-by-step solution

Key Idea Poisson's equation for adiabatic process is given by p V^ = constant. For adiabatic process, Poisson's equation is given by p V^ = constant Ideal gas relation is aligned & p V &=R T & V &= R T p aligned From Eqs. (i) and (ii), we get p ( R T p )^ = constant T^ p^ -1 = constant where is ratio of specific heats of the gas Given, p T^ C ... (iv) On comparing with Eq. (iii), we have C= -1 For a monoatomic gas = 5 3 We have C= 5 3 5 3 -1 = 5 2