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).
Explanation
W_net = 400+850−15 = 1235 kJ/kg. η=W_net/Q_in → Q_in = 1235/0.32 = 3859.375 kJ/kg. By the first law over the full cycle, Q_rejected = Q_in − W_net = 3859.375 − 1235 = 2624.38 kJ/kg.
Source: GATE ME 2022 Session 1 (ME-1) (2022)
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