A refrigeration cycle operating between two reservoirs receives energy QC from a cold reservoir at TC = 275 K and rejects energy QH to a hot reservoir at TH = 315 K. For each of the following cases, determine whether the cycle operates reversibly, operates irreversibly, or is impossible:
(a) QC = 1000 kJ, Wcycle = 80 kJ.
(b) QC = 1200 kJ. QH = 2000 kJ.
(c) QH = 1575 kJ. Wcycle = 200 kJ.
(d) beta = 6.