GATE ME 2014 Set 4 — Question 57
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Thermodynamics → Laws & Properties → Rankine, Reheat & Regenerative
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Question
Steam with specific enthalpy () 3214 kJ/kg enters an adiabatic turbine operating at steady state with a flow rate 10 kg/s. As it expands, at a point where is 2920 kJ/kg, 1.5 kg/s is extracted for heating purposes. The remaining 8.5 kg/s further expands to the turbine exit, where kJ/kg. Neglecting changes in kinetic and potential energies, the net power output (in kW) of the turbine is _______
Correct answer
7580 to 7582
Solution
The net power output of the turbine can be calculated by applying the Steady Flow Energy Equation (SFEE) to the two stages of expansion.Stage 1: From inlet to extraction point
Mass flow rate, kg/s
Inlet enthalpy, kJ/kg
Extraction point enthalpy, kJ/kg
Power from stage 1, kWStage 2: From extraction point to exit
Mass flow rate, kg/s
Exit enthalpy, kJ/kg
Power from stage 2, kWTotal Power Output:The net power output of the turbine is 7581 kW.
Mass flow rate, kg/s
Inlet enthalpy, kJ/kg
Extraction point enthalpy, kJ/kg
Power from stage 1, kWStage 2: From extraction point to exit
Mass flow rate, kg/s
Exit enthalpy, kJ/kg
Power from stage 2, kWTotal Power Output:The net power output of the turbine is 7581 kW.
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