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Work Energy Theorem Application

A Carnot engi...

Question

A Carnot engine absorbs 750 J of heat energy from a reservoir at 137C and rejects 500 J of heat during each cycle, then the temperature of sink is

A

0.25C

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B

0.34C

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C

0.44C

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D

0.54C

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Solution

The correct option is B 0.34C
For carnot engine-
$\frac{T_{L}}{T_{H}} = \frac{Q_{L}}{Q_{H}} \frac{T_{L}}{(137 + 273)} = \frac{500}{750} T_{l} = \frac{500 \times 410}{750} = 273.333 \approx 273.34 K = 0.34 ° C$

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