Arefrigeration 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 = 100 kj, wcycle = 80 kj. (b) qc = 1200 kj, qh = 2000 kj. (c) qh = 1575 kj, wcycle = 100 kj. (d) β = 8.