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A reversible heat engine converts one-sixth of the heat input into work. When the temperature of the sink is reduced by 62°C, efficiency of the engine is doubled. Temperature of the source and sink are:

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$80^{o} C, 37^{o} C$

$99^{o} C, 37^{o} C$

$95^{o} C, 37^{o} C$

$82^{o} C, 31^{o} C$

answer is B.

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Detailed Solution

$η = \frac{1}{6} = 1 - \frac{T_{2}}{T_{1}} and \frac{2}{6} = 1 - \frac{(T_{2} - 62)}{T_{1}} \Rightarrow T_{1} = 372 K = 99^{o} C and T_{2} = 310 K = 37^{o} C$

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