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
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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62cf0025-2a72-406a-bc17-39c2a0537bca%2Fadd381bb-c6d1-4d66-83e5-647440803745%2Fc51tpfv_processed.png&w=3840&q=75)
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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