A 2.50 mol sample of perfect gas at 1.00 atm and 298 K with CP,m = 7/2 R is taken through the following cycle: (i) Heating at constant volume until it doubles its initial temperature. (ii) Reversible adiabatic expansion back to its initial temperature. (iii) Reversible isothermal compression until reaching 1.00 atm again. a) Draw a P-V diagram to sketch the two processes before the reaction. For each process, determine P, V, and T and identify each process. b) Determine S in each process.