At N.T.P  one mole of diatomic gas is compressed adiabatically to half of its volume γ=1.41  . The work done on gas will be

w=nRγ−1[T2−T1]                     =1×8.31475−1[T2−T1]                 T1V1r−1=T2V2γ−1                 T1T2=[V1V2]γ−1                 T2T1−1=[V1V2]γ−1−1                 w = 1824 J