1 mole of ideal gas is allowed to expand reversibly and adiabatically from a temperature of $27^{\circ} \mathrm{C}$. The work done is $3 \mathrm{~kJ} \mathrm{~mol}^{-1}$. The final temperature of the gas is $\_\_\_\_$ K. (Nearest integer). Given $C_\chi=20 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}$.