An ideal gas sample containing 1.75 moles for which C_{V ,m} = 5/2R undergoes the following reversible cyclical process from an initial state characterized by T = 275 K and P = 1.00 bar:

a. It is expanded reversibly and adiabatically until the volume triples.

b. It is reversibly heated at constant volume until T increases to 275 K.

c. The pressure is increased in an isothermal reversible compression until P = 1.00 bar. Calculate q, w, ΔU, ΔH, and ΔS for each step in the cycle, and for the total cycle.