Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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### Problem Statement:

**1. 100 kg of R-134a initially fill a weighted piston-cylinder device at 60 kPa and -20°C. The device is then heated until the temperature is 136°C and the piston is compressed to 700 kPa. Determine the change in the device’s volume as a result of the heating.**

### Diagram Description:

The accompanying diagram illustrates a weighted piston-cylinder device containing 100 kg of R-134a, a refrigerant. The initial states of the refrigerant are:
- Pressure: 60 kPa
- Temperature: -20°C

The device undergoes a heating process, which results in the following final states:
- Temperature: 136°C
- Pressure: 700 kPa

The diagram shows a piston in a cylinder with labels indicating the initial and final states of pressure, temperature, and mass of the refrigerant.

### Solution Approach:

The problem requires finding the change in volume of the piston-cylinder device as a result of heating. To solve this, the following steps should be taken:

1. **Determine Initial Specific Volume:**
   - Use R-134a refrigerant tables or thermodynamic properties to find the specific volume (v1) at the initial state (60 kPa, -20°C).

2. **Determine Final Specific Volume:**
   - Use R-134a refrigerant tables or thermodynamic properties to find the specific volume (v2) at the final state (700 kPa, 136°C).

3. **Calculate Initial and Final Volumes:**
   - Initial Volume (V1): Multiply the specific volume (v1) by the mass of the refrigerant (100 kg).
   - Final Volume (V2): Multiply the specific volume (v2) by the mass of the refrigerant (100 kg).

4. **Determine Volume Change:**
   - Change in Volume (ΔV): Subtract the initial volume (V1) from the final volume (V2).

### Refrigerant Properties:
These can be found in property tables for R-134a like saturated refrigerant temperature/pressure tables or superheated tables.

### Example Calculation:
(Example numbers will vary based on actual property tables used)

### Using R-134a Property Tables:
1. **Find initial specific volume (v1):**
   - Suppose v1 = 0.2875 m³/kg (hypothetical value from tables for 60 kPa, -20
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Transcribed Image Text:### Problem Statement: **1. 100 kg of R-134a initially fill a weighted piston-cylinder device at 60 kPa and -20°C. The device is then heated until the temperature is 136°C and the piston is compressed to 700 kPa. Determine the change in the device’s volume as a result of the heating.** ### Diagram Description: The accompanying diagram illustrates a weighted piston-cylinder device containing 100 kg of R-134a, a refrigerant. The initial states of the refrigerant are: - Pressure: 60 kPa - Temperature: -20°C The device undergoes a heating process, which results in the following final states: - Temperature: 136°C - Pressure: 700 kPa The diagram shows a piston in a cylinder with labels indicating the initial and final states of pressure, temperature, and mass of the refrigerant. ### Solution Approach: The problem requires finding the change in volume of the piston-cylinder device as a result of heating. To solve this, the following steps should be taken: 1. **Determine Initial Specific Volume:** - Use R-134a refrigerant tables or thermodynamic properties to find the specific volume (v1) at the initial state (60 kPa, -20°C). 2. **Determine Final Specific Volume:** - Use R-134a refrigerant tables or thermodynamic properties to find the specific volume (v2) at the final state (700 kPa, 136°C). 3. **Calculate Initial and Final Volumes:** - Initial Volume (V1): Multiply the specific volume (v1) by the mass of the refrigerant (100 kg). - Final Volume (V2): Multiply the specific volume (v2) by the mass of the refrigerant (100 kg). 4. **Determine Volume Change:** - Change in Volume (ΔV): Subtract the initial volume (V1) from the final volume (V2). ### Refrigerant Properties: These can be found in property tables for R-134a like saturated refrigerant temperature/pressure tables or superheated tables. ### Example Calculation: (Example numbers will vary based on actual property tables used) ### Using R-134a Property Tables: 1. **Find initial specific volume (v1):** - Suppose v1 = 0.2875 m³/kg (hypothetical value from tables for 60 kPa, -20
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