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Equipartition Theorem

A carnot's en...

Question

A carnot's engine takes $300 c a l$ of heat at $500 K$ and rejects $150 c a l$ of heat to the sink. The temperature of the sink is

A

1000 K

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B

750 K

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C

250 K

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D

125 K

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Solution

The correct option is C $250 K$
$η = 1 - \frac{Q_{2}}{Q_{1}} = 1 - \frac{T_{2}}{T_{1}} \Rightarrow \frac{Q_{2}}{Q_{1}} = \frac{T_{2}}{T_{1}}$

So, $T_{2} = \frac{Q_{2} \times T_{1}}{Q_{1}} = \frac{150 \times 500}{300} = 250 K$

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