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GATE 2021 ME (ME1) – Question 55

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

Consider a steam power plant operating on an ideal reheat Rankine cycle. The work input to the pump is 20 kJ/kg. The work output from the high pressure turbine is 750 kJ/kg. The work output from the low pressure turbine is 1500 kJ/kg. The thermal efficiency of the cycle is 50%. The enthalpy of saturated liquid and saturated vapour at condenser pressure are 200 kJ/kg and 2600 kJ/kg, respectively. The quality of steam at the exit of the low pressure turbine is _____ % (round off to the nearest integer).

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Correct answer: 93

Explanation

Net work is 750+1500−20=2230 kJ/kg. At efficiency 0.5, heat input=4460, and rejected heat=4460−2230=2230 kJ/kg.

Condenser rejection is $h_{exit}-h_f=xh_{fg}$. Therefore x=2230/(2600−200)=0.929167, giving **93%**.