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A cyclic heat engine operates between a source temperature of 900°C and a sink temperature of 35°C. The least rate of heat rejection per kW net output of the engine will be:

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  1. 0.392 kW
  2. 0.376 kW
  3. 0.356 kW
  4. 0.326 kW

Answer (Detailed Solution Below)

Option 3 : 0.356 kW
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Detailed Solution

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Concept:

The Carnot efficiency of a heat engine operating between two temperatures is:

Where, is source temperature and is sink temperature (in Kelvin).

Given:

Source temperature = 900°C = 1173 K

Sink temperature = 35°C = 308 K

Net output work = 1 kW

Calculation:

Efficiency,

Heat supplied,

Heat rejected,

 

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