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

$w=\frac{nR}{\gamma -1}\left[T_2-T_1\right]$

                    $=\frac{1\times 8.314}{\frac{7}{5}-1}\left[T_2-T_1\right]$

                $T_1{V}_1{}^{r-1}=T_2{V}_2{}^{\gamma -1}$

                $\frac{T_1}{T_2}={\left[\frac{V_1}{V_2}\right]}^{\gamma -1}$

                $\frac{T_2}{T_1}-1={\left[\frac{V_1}{V_2}\right]}^{\gamma -1}-1$

                w = 1824 J