A cylinder-piston assembly has an initial volume inside the cylinder of 05 L. Of this volume, 1% of the volume is occupied by the liquid water and 99% of the volume is occupied by water vapor at a pressure of 1 bar. The cylinder is heated at a constant pressure causing the piston to rise. At the end of the process, the temperature inside the cylinder is 200 °C. (a) Sketch the cycle on a P-V diagram (b) Determine the work in kJ (c) Determine heat transfer in kJ

Elements Of Electromagnetics
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### Cylinder-Piston Assembly Process Analysis

A cylinder-piston assembly has an initial volume inside the cylinder of 0.5 L. Of this volume, 1% of the volume is occupied by the liquid water and 99% of the volume is occupied by water vapor at a pressure of 1 bar. The cylinder is heated at a constant pressure causing the piston to rise. At the end of the process, the temperature inside the cylinder is 200 °C.

#### Problems to Address:
(a) Sketch the cycle on a P-V diagram
(b) Determine the work in kJ
(c) Determine heat transfer in kJ

### Explanation of Graphs or Diagrams

#### P-V Diagram
A Pressure-Volume (P-V) diagram should be drawn to visualize the thermodynamic process of the cylinder-piston system. On the P-V diagram:
- The x-axis represents the volume (V) in liters (L).
- The y-axis represents the pressure (P) in bars (bar).
- The initial point represents the starting state with a volume of 0.5 L and a pressure of 1 bar.
- Since the process is carried out at constant pressure (isobaric process), the line on the graph will be a horizontal line indicating constant pressure as the volume changes.
- The final state would be plotted based on the final volume corresponding to the system temperature of 200 °C and 1 bar pressure.

### Steps to Solve:
1. **Determine the initial and final states**:
   - Initial state: \(P_1 = 1 \, \text{bar}\), \(V_1 = 0.5 \, \text{L}\)
   - Final state: \(P_2 = 1 \, \text{bar}\), \(T_2 = 200 \, \text{°C}\)
   
2. **Sketch the P-V Diagram**:
   - Plot the initial state on the P-V diagram.
   - Plot the horizontal line (constant pressure line) until the final volume at 200 °C is reached.

3. **Determine Work (W) Done**:
   - Use the formula for work done in an isobaric process: 
     \[
     W = P \Delta V
     \]
   - Determine the change in volume (\(\Delta V\)) from initial to final state.

4. **Determine Heat Transfer (Q)**:
   - Use the
Transcribed Image Text:### Cylinder-Piston Assembly Process Analysis A cylinder-piston assembly has an initial volume inside the cylinder of 0.5 L. Of this volume, 1% of the volume is occupied by the liquid water and 99% of the volume is occupied by water vapor at a pressure of 1 bar. The cylinder is heated at a constant pressure causing the piston to rise. At the end of the process, the temperature inside the cylinder is 200 °C. #### Problems to Address: (a) Sketch the cycle on a P-V diagram (b) Determine the work in kJ (c) Determine heat transfer in kJ ### Explanation of Graphs or Diagrams #### P-V Diagram A Pressure-Volume (P-V) diagram should be drawn to visualize the thermodynamic process of the cylinder-piston system. On the P-V diagram: - The x-axis represents the volume (V) in liters (L). - The y-axis represents the pressure (P) in bars (bar). - The initial point represents the starting state with a volume of 0.5 L and a pressure of 1 bar. - Since the process is carried out at constant pressure (isobaric process), the line on the graph will be a horizontal line indicating constant pressure as the volume changes. - The final state would be plotted based on the final volume corresponding to the system temperature of 200 °C and 1 bar pressure. ### Steps to Solve: 1. **Determine the initial and final states**: - Initial state: \(P_1 = 1 \, \text{bar}\), \(V_1 = 0.5 \, \text{L}\) - Final state: \(P_2 = 1 \, \text{bar}\), \(T_2 = 200 \, \text{°C}\) 2. **Sketch the P-V Diagram**: - Plot the initial state on the P-V diagram. - Plot the horizontal line (constant pressure line) until the final volume at 200 °C is reached. 3. **Determine Work (W) Done**: - Use the formula for work done in an isobaric process: \[ W = P \Delta V \] - Determine the change in volume (\(\Delta V\)) from initial to final state. 4. **Determine Heat Transfer (Q)**: - Use the
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