A diatomic gas at a pressure p and volume v expands adiabatically to a volume 32v and then compressed isothermally to a volume v. Then final pressure of the gas is

Let p2 be the pressure of gas at the end of adiabatic expansion, then p2p1=v1v2γ⇒p2p=v32v7/5=1128                                                                                                          ⇒p2=p128At the end of isothermal compression process, p3v3=p2v2⇒p3v=p12832v⇒p3=p4