In an adiabatic change, the pressure and temperature of a monoatomic gas are related with relation as P ∝ TC, where C is equal to

For adiabatic process,PVγ = constant----------------(i)We have ideal gas relation, PV = RT⇒ V = RTP-----------------(ii)From Eqs. (i) and (ii), we get       P(RTP)γ =constant       ⇒ TγPγ-1 = constant-------------(iii)where γ is adiabatic constant of the gas.Given, P ∝ TCOn comparing with Eq. (iii), we have,C = γγ-1For a monoatomic gas γ = 53∴  We have, C = 5353-1= 52