Two moles of nitrogen in a container of negligible thermal capacity are initially at $$17^\circ\text{C}$$. The gas is compressed adiabatically from an initial volume of $$120\,\text{liter}$$ to $$80\,\text{liter}$$. The correct option(s) is/are

A

Initial pressure of the gas is nearly $$40.2\,\text{kPa}$$

B

Final temperature of the gas is nearly $$68^\circ\text{C}$$

C

Work done by the gas is $$2.12\,\text{kJ}$$

D

The internal energy of the gas increases by $$2.12\,\text{kJ}$$