Nitrogen (N2) gas within a piston-cylinder assembly undergoes a compression from p1= 0.2MPa, V1=2.75 m3 to state

Question:

Nitrogen (N2) gas within a piston-cylinder assembly undergoes a compression from p1= 0.2MPa, V1=2.75 m3 to state where p2 =2MPa. The relationship between pressure and volume during the process is pV1.35= constant. For the N2, determine
(a) The volume at state 2, in m3, and
(b) The work, in kJ.