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Question: A Carnot engine operates between \(227^{o}C\) and \(27^{o}C.\) Efficiency of the engine will be...

A Carnot engine operates between 227oC227^{o}C and 27oC.27^{o}C. Efficiency of the engine will be

A

13\frac{1}{3}

B

25\frac{2}{5}

C

34\frac{3}{4}

D

35\frac{3}{5}

Answer

25\frac{2}{5}

Explanation

Solution

η=1T2T1=1300500=25\eta = 1 - \frac{T_{2}}{T_{1}} = 1 - \frac{300}{500} = \frac{2}{5}