A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of $800\;{\rm{c}}{{\rm{m}}^3}$ and temperature ${27^\circ }{\rm{C}}$. The change in temperature when the gas is adiabatically compressed to $200\;{\rm{c}}{{\rm{m}}^3}$ is:
(Take $\gamma = 1.5;\gamma $ is the ratio of specific heats at constant pressure and at constant volume)