GATE ME 2020 Set 2 — Question 64
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Thermodynamics → Power Cycles → Rankine, Reheat & Regenerative
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Question
In a steam power plant, superheated steam at and , is expanded isentropically in a turbine until it becomes a saturated vapour. It is then reheated at constant pressure to . The steam is next expanded isentropically in another turbine until it reaches the condenser pressure of . Relevant properties of steam are given in the following two tables. The work done by both the turbines together is _______ kJ/kg (round off to the nearest integer).Superheated Steam Table:
Saturated Steam Table:
| Pressure, (MPa) | Temperature, ( C) | Enthalpy, (kJ/kg) | Entropy, (kJ/kg.K) |
|---|---|---|---|
| 10 | 500 | 3373.6 | 6.5965 |
| 1 | 500 | 3478.4 | 7.7621 |
| Pressure, | Sat. Temp. ( C) | (kJ/kg) | (kJ/kg) | (kJ/kg.K) | (kJ/kg.K) |
|---|---|---|---|---|---|
| 1 MPa | 179.91 | 762.9 | 2778.1 | 2.1386 | 6.5965 |
| 20 kPa | 60.06 | 251.38 | 2609.7 | 0.8319 | 7.9085 |
Correct answer
1500 to 1525
Solution
1.First expansion (1 to 2): . Isentropic expansion to saturated vapor (). From table, at , , so . Work .
2.Reheat (2 to 3): Constant pressure to .
3.Second expansion (3 to 4): Isentropic expansion to (). At , . Quality . Enthalpy . Work .
4.Total work . Rounding to nearest integer gives 1513.
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