1. Consider the following schematic of a power plant (operating in what is called a "Rankine Cycle') Tubine Stam gerenter Condenser Culing woter Ecomomiar The power plant control room reports that the plant is operating continuously at the following peak load conditions: a. Power to pump = 300KW b. Rate of steam flow = 25 kg/s c. Cooling water temperature at condenser inlet = 13 C d. Cooling water temperature at condenser outlet = 34 C Additionally, the following measurements were made at various points in the piping connecting the power plant components Data Pressure Temp. Quality enthalpy Specific Velocity (kJ/kg) point (kPa) (x) volume (m/s) (m³/kg) (C) 1 6200 2 6100 43 3 5900 177 4 5700 493 5 5500 482 6 103 0.94 183 7 96 43

Elements Of Electromagnetics
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### Rankine Cycle Power Plant Schematic and Operating Data

#### Rankine Cycle Diagram Description
The diagram illustrates a power plant operating on the Rankine Cycle, consisting of the following components:

1. **Pump** - The fluid is initially pressurized.
2. **Economizer** - Pre-heats the pressurized fluid before it enters the steam generator.
3. **Steam Generator** - Heats the fluid to generate steam.
4. **Turbine** - Steam expands and performs mechanical work.
5. **Condenser** - Cools and condenses the steam into liquid form to be reused.
6. **Cooling Water** - Symbolically shown entering and exiting the condenser.
7. **Flow Arrows** - Indicate the direction of fluid flow throughout the cycle.

#### Operating Conditions and Measurements

**Power Plant Operation:**
- **Power to pump**: 300 kW
- **Rate of steam flow**: 25 kg/s
- **Cooling water temperature at condenser inlet**: 13°C
- **Cooling water temperature at condenser outlet**: 34°C

**Data Points from Power Plant Components:**

| Data Point | Pressure (kPa) | Temp. (°C) | Quality (x) | Enthalpy (kJ/kg) | Specific Volume (m³/kg) | Velocity (m/s) |
|------------|-----------------|------------|-------------|------------------|------------------------|----------------|
| 1          | 6200            | -----      | -----       | -----            | -----                  | -----          |
| 2          | 6100            | 43         | -----       | -----            | -----                  | -----          |
| 3          | 5900            | 177        | -----       | -----            | -----                  | -----          |
| 4          | 5700            | 493        | -----       | -----            | -----                  | -----          |
| 5          | 5500            | 482        | -----       | -----            | -----                  | -----          |
| 6          | 103             | 0.94       | -----       | -----            | -----                  | 183            |
| 7          | 96              | 43         | -----       | -----            | -----                  | -----          |

#### Explanation of Terms:
- **Pressure (kPa)**: The measured pressure of the steam at various points in
Transcribed Image Text:### Rankine Cycle Power Plant Schematic and Operating Data #### Rankine Cycle Diagram Description The diagram illustrates a power plant operating on the Rankine Cycle, consisting of the following components: 1. **Pump** - The fluid is initially pressurized. 2. **Economizer** - Pre-heats the pressurized fluid before it enters the steam generator. 3. **Steam Generator** - Heats the fluid to generate steam. 4. **Turbine** - Steam expands and performs mechanical work. 5. **Condenser** - Cools and condenses the steam into liquid form to be reused. 6. **Cooling Water** - Symbolically shown entering and exiting the condenser. 7. **Flow Arrows** - Indicate the direction of fluid flow throughout the cycle. #### Operating Conditions and Measurements **Power Plant Operation:** - **Power to pump**: 300 kW - **Rate of steam flow**: 25 kg/s - **Cooling water temperature at condenser inlet**: 13°C - **Cooling water temperature at condenser outlet**: 34°C **Data Points from Power Plant Components:** | Data Point | Pressure (kPa) | Temp. (°C) | Quality (x) | Enthalpy (kJ/kg) | Specific Volume (m³/kg) | Velocity (m/s) | |------------|-----------------|------------|-------------|------------------|------------------------|----------------| | 1 | 6200 | ----- | ----- | ----- | ----- | ----- | | 2 | 6100 | 43 | ----- | ----- | ----- | ----- | | 3 | 5900 | 177 | ----- | ----- | ----- | ----- | | 4 | 5700 | 493 | ----- | ----- | ----- | ----- | | 5 | 5500 | 482 | ----- | ----- | ----- | ----- | | 6 | 103 | 0.94 | ----- | ----- | ----- | 183 | | 7 | 96 | 43 | ----- | ----- | ----- | ----- | #### Explanation of Terms: - **Pressure (kPa)**: The measured pressure of the steam at various points in
**Educational Text Transcription and Explanation**

---

### a. What physical phenomena causes the pressure to drop from point 4-5 (and point 1-2)?

### b. Define the following types of processes:
- An isothermal process is a constant _____________________ process.
- An isobaric process is a constant ______________________ process.
- An isenthalpic process is a constant ____________________ process.
- An isometric process is a constant ______________________ process.
- An isentropic process is a constant _____________________ process.
- An adiabatic process does not transfer heat to the ____________________.

### c. Use the pump power and other information to calculate the pump inlet and outlet conditions.
- **Step 1**: Sketch the entire system (Given in this problem).
- **Step 2**: Draw the complete control volume (CV) for the component(s) of interest.
- **Step 3**: Show state variables with units and other useful information on CV sketch.
- **Step 4**: Write the governing equation.
- **Step 5**: State all assumptions including type of process and simplify equation(s).
- **Step 6**: Solve equation(s)
- **Step 7**: Does it make sense?

---

### Diagram/Graph Explanation:
There are no graphs or diagrams in the provided text. The content is structured as a set of questions and steps related to thermodynamic processes and calculations involving pump power. The focus is on defining processes, understanding pressure changes, and performing calculations based on a given system sketch.
Transcribed Image Text:**Educational Text Transcription and Explanation** --- ### a. What physical phenomena causes the pressure to drop from point 4-5 (and point 1-2)? ### b. Define the following types of processes: - An isothermal process is a constant _____________________ process. - An isobaric process is a constant ______________________ process. - An isenthalpic process is a constant ____________________ process. - An isometric process is a constant ______________________ process. - An isentropic process is a constant _____________________ process. - An adiabatic process does not transfer heat to the ____________________. ### c. Use the pump power and other information to calculate the pump inlet and outlet conditions. - **Step 1**: Sketch the entire system (Given in this problem). - **Step 2**: Draw the complete control volume (CV) for the component(s) of interest. - **Step 3**: Show state variables with units and other useful information on CV sketch. - **Step 4**: Write the governing equation. - **Step 5**: State all assumptions including type of process and simplify equation(s). - **Step 6**: Solve equation(s) - **Step 7**: Does it make sense? --- ### Diagram/Graph Explanation: There are no graphs or diagrams in the provided text. The content is structured as a set of questions and steps related to thermodynamic processes and calculations involving pump power. The focus is on defining processes, understanding pressure changes, and performing calculations based on a given system sketch.
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