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GATE 2022 ME (ME1) – Question 61

Thermal Engineering Applications · Power Engineering: vapour and gas power cycles, regeneration and reheat · 2 marks · Numerical answer

In a steam power plant based on Rankine cycle, steam is initially expanded in a high-pressure turbine. The steam is then reheated in a reheater and finally expanded in a low-pressure turbine. The expansion work in the high-pressure turbine is 400 kJ/kg and in the low-pressure turbine is 850 kJ/kg, whereas the pump work is 15 kJ/kg. If the cycle efficiency is 32%, the heat rejected in the condenser is ________ kJ/kg (round off to 2 decimal places).

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Correct answer: 2611.26 to 2637.50

Explanation

The net work is $400 + 850 - 15 = 1235$ kJ/kg. With the efficiency 0.32, the heat supplied is $\frac{1235}{0.32} = 3859.38$ kJ/kg. The heat rejected is $3859.38 - 1235 = 2624.38$ kJ/kg.