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A Carnot engine operates with an efficiency of 23% when the temperature of its cold reservoir...

A Carnot engine operates with an efficiency of 23% when the temperature of its cold reservoir is 295 K. Assuming that the temperature of the hot reservoir remains the same, what must be the temperature of the cold reservoir in order to increase the efficiency to 41%?
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Answer #1

The efficiency of a carnot engine is given by

Solving for the temperature of hot reservoir

Let the increased efficiency is e'.

Given the temperature of the hot reservoir remains the same

Using e=23%=0.23, e'=41%=0.41, T​​​​​​c=295K we get

The temperature of the cold reservoir must be 226K in order to increase the efficiency to 41%.

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