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Question

Question: The efficiency of Carnot's engine operating between reservoirs, maintained at temperatures \(27^{o}C...

The efficiency of Carnot's engine operating between reservoirs, maintained at temperatures 27oC27^{o}C and 123oC,- 123^{o}C, is

A

50%

B

24%

C

0.75%

D

0.4%

Answer

50%

Explanation

Solution

η=1T2T1=1(273+123)(273+27)=1150300=12=50%\eta = 1 - \frac{T_{2}}{T_{1}} = 1 - \frac{(273 + 123)}{(273 + 27)} = 1 - \frac{150}{300} = \frac{1}{2} = 50\%