A Carnot engine working on a satellite in outer space has to deliver afixed amount of power at rate W. The temperature of the heat source isalso fixed, at T₁. The lower temperature reservoir at T2 consists of a largebody of area A; its temperature is maintained at T₂ because it radiatesenergy into space as much heat as is delivered to it by the engine.The rate of this radiation is σAT2 where σ is a constant. The Carnotengine has to be designed so that, for a given Wand T₁, A has a minimumvalue. Show that A has a minimum value when T₂ takes the value 3T₁/4.

Step 1: Given data :Power Output: The engine delivers a fixed amount of power W.Heat Source…

Answered: A Carnot engine working on a satellite…

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