4. A steam power plant operating in an ideal Rankine cycle has high pressure 500 kPa and low pressure 15 kPa. The turbine exhaust state has quality x = 1 as shown in the T-s diagram. Fill in the numerical values in the table kPa m/kg kJ/kg kJ/kg K kJ/kg kJ/kg ɔ. T 1-2 2-3 3-4 4-1

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### Steam Power Plant Cycle Analysis

**Problem Statement:**
A steam power plant operating in an ideal Rankine cycle has high pressure of 500 kPa and low pressure of 15 kPa. The turbine exhaust state has a quality \(x = 1\) as shown in the T-s diagram. Fill in the numerical values in the table.

**Data Table:**

|  |  kPa |  m³/kg | °C | kJ/kg | kJ/kg K | kJ/kg | kJ/kg |
|---|---|---|---|---|---|---|---|
| **State** | P | v | T | h | s | q | w |
| 1-2 |  |  |  |  |  |  |  |
| 2-3 |  |  |  |  |  |  |  |
| 3-4 |  |  |  |  |  |  |  |
| 4-1 |  |  |  |  |  |  |  |

**T-s Diagram Description:**
The diagram depicts a Rankine cycle with the typical bell-shaped curve representing the saturation dome. The states 1 through 4 are marked on the curve, showing the transformations in the cycle:

- **1-2**: Isentropic compression in the pump.
- **2-3**: Heat addition in the boiler at constant pressure.
- **3-4**: Isentropic expansion in the turbine.
- **4-1**: Heat rejection in the condenser at constant pressure.

The x-axis represents entropy (s), while the y-axis represents temperature (T). The shape of the curve indicates phase changes and energy interactions within the steam power plant cycle.

This setup helps in understanding the operations and efficiency calculations of Rankine cycles commonly used in thermal power plants.
Transcribed Image Text:### Steam Power Plant Cycle Analysis **Problem Statement:** A steam power plant operating in an ideal Rankine cycle has high pressure of 500 kPa and low pressure of 15 kPa. The turbine exhaust state has a quality \(x = 1\) as shown in the T-s diagram. Fill in the numerical values in the table. **Data Table:** | | kPa | m³/kg | °C | kJ/kg | kJ/kg K | kJ/kg | kJ/kg | |---|---|---|---|---|---|---|---| | **State** | P | v | T | h | s | q | w | | 1-2 | | | | | | | | | 2-3 | | | | | | | | | 3-4 | | | | | | | | | 4-1 | | | | | | | | **T-s Diagram Description:** The diagram depicts a Rankine cycle with the typical bell-shaped curve representing the saturation dome. The states 1 through 4 are marked on the curve, showing the transformations in the cycle: - **1-2**: Isentropic compression in the pump. - **2-3**: Heat addition in the boiler at constant pressure. - **3-4**: Isentropic expansion in the turbine. - **4-1**: Heat rejection in the condenser at constant pressure. The x-axis represents entropy (s), while the y-axis represents temperature (T). The shape of the curve indicates phase changes and energy interactions within the steam power plant cycle. This setup helps in understanding the operations and efficiency calculations of Rankine cycles commonly used in thermal power plants.
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