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A nice-making plant working on a Carnot cycle heat pump removes 3.5 kW heat from the ice, which...

Question:

A ice-making plant working on a Carnot cycle heat pump removes 3.5 kW heat from the ice, which is maintained at 0 {eq}^\circ {/eq}C and rejects heat to the ambient, which is assumed to be at 25{eq}^\circ {/eq}C. The work required by the heat pump is supplied entirely by a Carnot heat engine, which operates between a hot reservoir at 220{eq}^\circ {/eq}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.

Thermal Reservoir:

The thermal reservoir is a huge thermal pool which supplies heat energy and also can absorb them. The temperature of the reservoir is always maintained; there is no change in the temperature of the reservoir after absorbing and supplying heat.

Answer and Explanation:

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Given Data


  • Rate of heat removed by heat pump, {eq}{Q_L} = 3.5\;{\rm{kW}} {/eq}.
  • Sink reservoir temperature for refrigerator, {eq}{T_L} = 0^\circ...

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