GATE 2025 ME – Question 55
A heat pump, operating in reversed Carnot cycle, maintains a steady air temperature of 300 K inside an auditorium. The heat pump receives heat from the ambient air. The ambient air temperature is 280 K. Heat loss from the auditorium is 15 kW. The power consumption of the heat pump is ____ kW (rounded off to 2 decimal places).
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Correct answer: 0.99 to 1.01
Explanation
In steady state the heat pump supplies 15 kW to the auditorium. For a reversed Carnot cycle the coefficient of performance is $\frac{T_H}{T_H - T_L} = \frac{300}{20} = 15$. The power input is $\frac{15}{15} = 1.00$ kW.