A reversible power cycle R and an irreversible power cycle I operate between the same two reservoirs. Each receives QH from the hot reservoir. The reversible cycle develops work WR, while the irreversible cycle develops work WI. The reversible cycle discharges QC to the cold reservoir, while the irreversible cycle discharges
(a) Evaluate σcycle for cycle I in terms of WI, WR, and temperature TC of the cold reservoir only.
(b) Demonstrate that WI WR and QC' > Qc