A Carnot engine, whose efficiency is , takes in heat from a source maintained at a temperature of . It is desired to have an engine of efficiency . Then, the intake temperature for the same exhaust (sink) temperature must be:
- Aefficiency of Carnot engine cannot be made larger than
- B
- C
- D
Solution & Step-by-step Explanation
Efficiency of a Carnot engine is .Case 1: , $
\eta' = 0.6 T_L = 300\,\text{K} T_H'
$0.6 = 1 - \frac{300}{T_H'} \implies \frac{300}{T_H'} = 0.4
\eta' = 0.6 T_L = 300\,\text{K} T_H'
$0.6 = 1 - \frac{300}{T_H'} \implies \frac{300}{T_H'} = 0.4