An ice-making plant working on a reversed Carnot cycle heat pump removes 3.5kW heat from the ice, which is maintained at 0 °C and rejects heat to the ambient, which is assumed to be at 25 °C. The work required by the heat pump is supplied entirely by a Carnot heat engine, which operates between a hot reservoir at 220 °C and a cold reservoir at the ambient temperature. Find;
(a) work output of the Carnot heat engine.
(b) Heat absorbed by the Carnot heat engine from the hot reservoir.
(c) Total heat rejected into the ambient.