### Adiabatic process and the equation of state.

A sample of 8.02 x 10^-1 moles of nitrogen gas (gamma=1.40) occupies a volume of 2.00 x 10^-2 m^3 at a pressure of 1.00 x 10^5 Pa and temperature 300K. the sample is adiabatically compressed to half its original volume, nitrogen behaves as an ideal gas under these conditions. Show from the adiabatic condition and the equation of