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. R-134a 60 kPa -20 °C 100 kg
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. R-134a 60 kPa -20 °C 100 kg
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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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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