A mass of diatomic gas (γ = 1.4) at a pressure of 2 atm is compressed adiabatically so that its temperature rise from 270C to 9270C. The pressure of the gas is final state is

T1 = 273 + 27 = 300 KT2 = 273 + 927 = 1200 KGas equation for adiabatic process pVγ = constantp(Tp)γ = constant (∴ pV = RT)p2p1 = (T2T1)γγ-1 or p2 = p1(T2T1)γγ-1p2 = 2(1200300)1.41.4-1p2 = 256 atm.