Problem 1) Rankine Cycle Analysis Consider a simple Rankine cycle, steam power plant. The state points are defined in the schematic and the operating conditions are given in the Table la. The steam flow rate is 137.4 lbm/s. You may use "EES," but supply your code. a) Provide a quantitative T-s diagram including all state points, lines of constant pressure, and the "dome." b) Determine all the energy quantities and complete Table 1b. Discuss the value of the quality at state 4. c) Determine all the exergy quantities and complete Table 1c. Assume the dead state temperature is 77°F and the dead state pressure is 14.7 psia. d) Discuss your results. What additional insights does the exergy analysis provide? 3 Quoiler 4 Fuel State 1 2 3 4 State 1 2 3 4 State br (Btu/lbm) 1 ? 2 ? ? ? Boller T (°F) p (psia) ? 0.71 Turbine Table la: State Points and Other Items T(°F) p (psia) Variable ? 0.71 XI ? 700 turbine 1057 700 npump ? 0.71 boiler ? 1057 ? Condenser Table 1b: Energy Results 700 700 0.71 Pump Variable nLeycle Wturbine qboiler condenser Power X4 W W turbine condenser Table 1e: Exergy Results Variable 11.turbine Leycle Exergy destruction in the turbine Boiler exergy input Condenser exergy rejected pump Value 0.0 0.768 0.635 0.91 Value ?% ? Btu/lbm ? Btu/lbm ? Btu/lbm ? MW ? Value ?% ?% ? Btu/lbm ? Btu/lbm ? Btu/lbm

Elements Of Electromagnetics
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**Rankine Cycle Analysis**

**1. Overview**

Consider a simple Rankine cycle, which is a steam power plant. The state points are defined in the schematic, and the operating conditions are given in Table 1a. The steam flow rate is 137.4 lbm/s. You may use "EES," but supply your code.

For this analysis:

a) Provide a quantitative T-s diagram, including all state points, lines of constant pressure, and the “dome.”
b) Determine all the energy quantities and complete Table 1b. Discuss the value of the quality at state 4.
c) Determine all the exergy quantities and complete Table 1c. Assume the dead state temperature is 77°F, and the dead state pressure is 14.7 psia.
d) Discuss your results. What additional insights does the exergy analysis provide?

**2. Schematic**

The given schematic shows the main components in a Rankine cycle: Boiler, Turbine, Condenser, and Pump. The state points are marked as follows:

1. Exit of the Pump
2. Exit of the Boiler
3. Exit of the Turbine
4. Exit of the Condenser

**3. Data Tables**
### Table 1a: State Points and Other Items

| State | T (°F) | p (psia) | Variable      | Value  |
|-------|--------|----------|--------------|--------|
| 1     | ?      | 0.71     | x₁           | 0.0    |
| 2     | ?      | 700      | η_turbine    | 0.768  |
| 3     | 1057   | 700      | η_pump       | 0.635  |
| 4     | ?      | 0.71     | η_boiler     | 0.91   |

### Table 1b: Energy Results

| State | T (°F) | p (psia) | Variable      | Value            |
|-------|--------|----------|---------------|------------------|
| 1     | ?      | 0.71     | η_cycle       | ? %              |
| 2     | ?      | 700      | W_turbine     | ? Btu/lbm        |
| 3     | 1057   | 700      | q
Transcribed Image Text:**Rankine Cycle Analysis** **1. Overview** Consider a simple Rankine cycle, which is a steam power plant. The state points are defined in the schematic, and the operating conditions are given in Table 1a. The steam flow rate is 137.4 lbm/s. You may use "EES," but supply your code. For this analysis: a) Provide a quantitative T-s diagram, including all state points, lines of constant pressure, and the “dome.” b) Determine all the energy quantities and complete Table 1b. Discuss the value of the quality at state 4. c) Determine all the exergy quantities and complete Table 1c. Assume the dead state temperature is 77°F, and the dead state pressure is 14.7 psia. d) Discuss your results. What additional insights does the exergy analysis provide? **2. Schematic** The given schematic shows the main components in a Rankine cycle: Boiler, Turbine, Condenser, and Pump. The state points are marked as follows: 1. Exit of the Pump 2. Exit of the Boiler 3. Exit of the Turbine 4. Exit of the Condenser **3. Data Tables** ### Table 1a: State Points and Other Items | State | T (°F) | p (psia) | Variable | Value | |-------|--------|----------|--------------|--------| | 1 | ? | 0.71 | x₁ | 0.0 | | 2 | ? | 700 | η_turbine | 0.768 | | 3 | 1057 | 700 | η_pump | 0.635 | | 4 | ? | 0.71 | η_boiler | 0.91 | ### Table 1b: Energy Results | State | T (°F) | p (psia) | Variable | Value | |-------|--------|----------|---------------|------------------| | 1 | ? | 0.71 | η_cycle | ? % | | 2 | ? | 700 | W_turbine | ? Btu/lbm | | 3 | 1057 | 700 | q
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