An engine takes in 5 moles of air at 20°C and 1 atm, and compresses it adiabaticaly to 1 / 10^th of the original volume. Assuming air to be a…

An engine takes in $\displaystyle 5$ moles of air at $\displaystyle 20$°C and $\displaystyle 1$ atm, and compresses it adiabaticaly to $\displaystyle 1 / 10^{\text {th }}$ of the original volume. Assuming air to be a diatomic ideal gas made up of rigid molecules, the change in its internal energy during this process comes out to be X kJ . The value of X to the nearest integer is \_\_\_\_.