Water is the working fluid in an ideal Rankine cycle. Superheated vapor enters the turbine at 10 MPa, 480°C, and the condenser pressure is 6 kPa. Isentropic efficiencies of the turbine and pump are 84% and 73%, respectively. Determine for the cycle a. the heat transfer to the working fluid passing through the steam generator, in kJ per kg of steam flowing. b. the thermal efficiency. c. the heat transfer from the working fluid passing through the condenser to the cooling water, in kJ per kg of steam flowing.

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brandiwilliams21761 brandiwilliams21761

24-11-2022
Engineering

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Water is the working fluid in an ideal Rankine cycle. Superheated vapor enters the turbine at 10 MPa, 480°C, and the condenser pressure is 6 kPa. Isentropic efficiencies of the turbine and pump are 84% and 73%, respectively. Determine for the cycle a. the heat transfer to the working fluid passing through the steam generator, in kJ per kg of steam flowing. b. the thermal efficiency. c. the heat transfer from the working fluid passing through the condenser to the cooling water, in kJ per kg of steam flowing.

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AyushiJain10 AyushiJain10 · Answer 1 · 2022-12-02T14:42:05+01:00

a. The heat transfer to the working fluid passing through the steam generator = 3157.47 kj/kg

b. The thermal efficiency = 34.518%

c. The heat transfer from the working fluid passing through the condenser to the cooling water = 2067.58 kj/kg

What is thermal efficiency?

The percentage of heat that is converted into usable work is expressed by thermal efficiency. The mathematical formula that can be used to determine the thermal efficiency is denoted by the symbol :

η = WQH

Where,

QH represents the total amount of heat energy absorbed from the hot source and

W represents the useful work.

Due to practical constraints, heat engines frequently run at an efficiency of 30% to 50%. According to the Second law of thermodynamics, it is impossible for heat engines to operate at 100% thermal efficiency (=1). This is not feasible because a heat engine will always produce some waste heat. The efficiency of a system can be increased in many different ways, even though a heat engine cannot operate at 100% efficiency.

Learn more about thermal efficiency

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