At steady-state, a thermodynamic cycle operating between hot and cold reservoirs at 1000 K and 500 K, respectively, receives energy by heat transfer from the hot reservoir at a rate of 1500 kW, discharges energy by heat transfer to the cold reservoir, and develops power at a rate of (a) 1000 kW, (b) 750 kW, (c) 0 kW.
For each case, apply the Clausius Inequality on a time-rate basis to determine whether the cycle operates reversibly, operates irreversibly, or is impossible.