Q3. A 1 mol ideal gas in a cylinder with a frictionless piston is initially at 25C and 1 bar. The ideal gas has a heat capacity (CP) of 38 J/mol. It is heated to 300C and compressed to 10 bar through the following two different mechanically reversible processes. Calculate the total Q, W, U, and H for each process and explain the changes with the paths followed:

a) Heating at constant pressure to 300C, followed by isothermal compression to 10 bar. (Show the path on a P-V diagram)

b) Adiabatic compression to 10 bar, followed by heating/cooling to 300C if necessary. (Show the path on a P-V diagram)