GATE ME 2022 Set 2 — Question 61
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Thermodynamics → Laws & Properties → Carnot Cycle & Entropy
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Question
At steady state, 500 kg/s of steam enters a turbine with specific enthalpy equal to 3500 kJ/kg and specific entropy equal to 6.5 kJ∙kg⁻¹∙K⁻¹. It expands reversibly in the turbine to the condenser pressure. Heat loss occurs reversibly in the turbine at a temperature of 500 K. If the exit specific enthalpy and specific entropy are 2500 kJ/kg and 6.3 kJ∙kg⁻¹∙K⁻¹, respectively, the work output from the turbine is ________ MW (in integer).
Correct answer
450 to 450
Solution
Given:
Mass flow rate kg/s
Inlet state: kJ/kg, kJ/kg∙K
Exit state: kJ/kg, kJ/kg∙K
Temperature of heat loss KFor a steady flow reversible process, the entropy balance is:Now, applying the first law of thermodynamics (energy balance) for steady flow:The work output from the turbine is 450 MW.
Mass flow rate kg/s
Inlet state: kJ/kg, kJ/kg∙K
Exit state: kJ/kg, kJ/kg∙K
Temperature of heat loss KFor a steady flow reversible process, the entropy balance is:Now, applying the first law of thermodynamics (energy balance) for steady flow:The work output from the turbine is 450 MW.
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