A vapor-compression refrigeration system uses ammonia as the working fluid. Data for the cycle are provided in the table below. The principal states are numbered as in the diagram below. The heat transfer rate from the working fluid passing through the condenser is 50,000 Btu/h. State 1 2 3 4 Expansion valve wwwwww Condenser If the compressor operates adiabatically, determine: (a) the compressor power input, in hp. (b) the coefficient of performance of the cycle. out Evaporator www 30 р Th S (lb/in.2) (°F) (Btu/lb) (Btu/lb.*R) Compressor 250 30 250 340 10 616.7 Saturated or superheated vapor 100 --- 784.3 154.9 154.9 1.347 1.378

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**Vapor-Compression Refrigeration System Using Ammonia**

A vapor-compression refrigeration system uses ammonia as the working fluid. The data for the cycle are provided in the table below. The principal states are numbered as shown in the diagram. The heat transfer rate from the working fluid passing through the condenser is 50,000 Btu/h.

**Diagram Explanation:**

- **Components:**
  - **Condenser:** Releases heat (\( \dot{Q}_{out} \)).
  - **Compressor:** Increases the pressure and temperature of the working fluid.
  - **Expansion Valve:** Lowers the pressure of the refrigerant.
  - **Evaporator:** Absorbs heat (\( \dot{Q}_{in} \)).

- **Flow:**
  - Ammonia moves from the evaporator to the compressor, then to the condenser, and back through the expansion valve to the evaporator.

**State Data Table:**

| State | \( p \) (lb/in²) | \( T \) (°F) | \( h \) (Btu/lb) | \( s \) (Btu/lb·°R) |
|-------|-----------------|--------------|------------------|--------------------|
| 1     | 30              | 10           | 616.7            | 1.347              |
| 2     | 250             | 340          | 784.3            | 1.378              |
| 3     | 250             | 100          | 154.9            | ---                |
| 4     | 30              | ---          | 154.9            | ---                |

**Determinations:**

If the compressor operates adiabatically, determine:

(a) The compressor power input, in horsepower (hp).

(b) The coefficient of performance of the cycle.
Transcribed Image Text:**Vapor-Compression Refrigeration System Using Ammonia** A vapor-compression refrigeration system uses ammonia as the working fluid. The data for the cycle are provided in the table below. The principal states are numbered as shown in the diagram. The heat transfer rate from the working fluid passing through the condenser is 50,000 Btu/h. **Diagram Explanation:** - **Components:** - **Condenser:** Releases heat (\( \dot{Q}_{out} \)). - **Compressor:** Increases the pressure and temperature of the working fluid. - **Expansion Valve:** Lowers the pressure of the refrigerant. - **Evaporator:** Absorbs heat (\( \dot{Q}_{in} \)). - **Flow:** - Ammonia moves from the evaporator to the compressor, then to the condenser, and back through the expansion valve to the evaporator. **State Data Table:** | State | \( p \) (lb/in²) | \( T \) (°F) | \( h \) (Btu/lb) | \( s \) (Btu/lb·°R) | |-------|-----------------|--------------|------------------|--------------------| | 1 | 30 | 10 | 616.7 | 1.347 | | 2 | 250 | 340 | 784.3 | 1.378 | | 3 | 250 | 100 | 154.9 | --- | | 4 | 30 | --- | 154.9 | --- | **Determinations:** If the compressor operates adiabatically, determine: (a) The compressor power input, in horsepower (hp). (b) The coefficient of performance of the cycle.
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