A Carnot's engine operates with an efficiency $$of40$$% with its sink at $$270C$$. By what amount should the temperature of the source be increased with an aim to increase the efficiency by $$10$$%?

Question

A Carnot's engine operates with an efficiency $$of40$$% with its sink at $$270C$$. By what amount should the temperature of the source be increased with an aim to increase the efficiency by $$10$$%?

Infinity Learn · Accepted Answer

Let $$T1$$ be the initial temperature of the source, then, using η $$=$$ $$1-T2T1We$$ have, $$40100=$$ $$1-(273+27$$ $$K)T1or$$ $$T1$$ $$=$$ $$500$$ K For the efficiency to be $$10$$% more i.e., $$50$$%, let $$T1$$' be the new temperature of the sink,then, $$50100$$ $$=$$ $$1-(273+27$$ $$K)T$$'$$1or$$ T'$$1$$ $$=$$ $$600$$ KThe required increase in the temperature of the source  T'$$1-T$$ $$=$$ $$600$$ K $$-500$$ K $$=$$ $$100$$ K

A Carnot's engine operates with an efficiency of40% with its sink at $27^{0} C$ . By what amount should the temperature of the source be increased with an aim to increase the efficiency by 10%?

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A Carnot's engine operates with an efficiency of40% with its sink at 270C. By what amount should the temperature of the source be increased with an aim to increase the efficiency by 10%?

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A Carnot's engine operates with an efficiency of40% with its sink at $27^{0} C$ . By what amount should the temperature of the source be increased with an aim to increase the efficiency by 10%?