A cylinder with a piston contains 0.2 moles of nitrogen at a pressure of 2.0×10⁵Pa and a temperature of 300 K. You can treat the nitrogen as an ideal diatomic gas. The gas is first compressed isobarically to half of its original volume. It then expands adiabatically back to its original volume, and then finally it is heated isochorically back to its original pressure. a) Show the series of processes in a P-V diagram.