A Reversed Carnot Engine removes 50 kW from a heat sink. The temperature of the heat sink is 250 K and the temperature of the heat reservoir is 300 K. The power required of the engine is:

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ESE Mechanical 2016 Paper 1: Official Paper
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  1. 10 kW
  2. 20 kW
  3. 30 kW
  4. 50 kW

Answer (Detailed Solution Below)

Option 1 : 10 kW
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Detailed Solution

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Concept:

Clausius inequality for a reversible cycle

\(\oint\frac{{dQ}}{T} = 0\)

Calculation:

From Clausius inequality

F2 M.J Madhu 15.04.20 D8

\(\frac{{50}}{{250}} = \frac{{{Q_H}}}{{300}}\)

QH = 60 kW

Therefore Power = QH - QL = 60 - 50 = 10 kW
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