A two-stage compression refrigeration system with an adiabatic liquid-vapor separation unit like that in the figure uses refrigerant-134a as the working fluid. The system operates the evaporator at 100 psia the condenser at 300 psia, and the separator at 200 psia. The compressors use 29 kW of power. Determine the rate of cooling provided by the evaporator and the COP of this cycle. The refrigerant is a saturated liquid at the inlet of each expansion valve and a saturated vapor at the inlet of each compressor, and the compressors are isentropic. (Take the required values from saturated refrigerant-134a tables.) Compressor Compressor m6 m₂ Condenser Separator Evaporator The rate of cooling provided by the evaporator is ↓ Btu/h, and the COP of the refrigerator is

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### Two-Stage Compression Refrigeration System

**Description:**

This diagram illustrates a two-stage compression refrigeration system with an adiabatic liquid-vapor separator. The system uses refrigerant-134a as the working fluid.

- **Operating Conditions:**
  - **Evaporator Pressure:** 100 psia
  - **Condenser Pressure:** 300 psia
  - **Separator Pressure:** 200 psia
  
- **Power Usage:** The compressors use 29 kW of power.

- **Refrigerant Conditions:**
  - Saturated liquid at the inlet of each expansion valve.
  - Saturated vapor at the inlet of each compressor.
  - Compressors are isentropic.

**Objective:**

Determine:
1. The rate of cooling provided by the evaporator (in Btu/h).
2. The Coefficient of Performance (COP) of the system.

**Diagram Explanation:**

1. **Compressor 1 (Bottom Left):**
   - Suctions low-pressure vapor from the evaporator.
   - Discharges high-pressure vapor to the condenser.

2. **Condenser (Top):**
   - Cools and condenses refrigerant from vapor to liquid.

3. **Separator (Middle):**
   - Separate phases to manage pressures and temperatures in the cycle.

4. **Compressor 2 (Top Left):**
   - Works with the separated vapor from the separator.
   - Discharges to maintain the condenser pressure.

5. **Expansion Valves:**
   - Manage pressure drops for the refrigerant entering evaporator and separator.

6. **Evaporator (Bottom Right):**
   - Absorbs heat from the surroundings providing cooling effect.

**Equations and Data Needed:**

- Use saturated refrigerant-134a tables for required values.

**Results:**

- The rate of cooling provided by the evaporator is [Blank] Btu/h.
- The COP of the refrigerator is [Blank].

*Note: Fill in the blanks using specific calculations based on the given conditions and refrigerant data tables.*
Transcribed Image Text:### Two-Stage Compression Refrigeration System **Description:** This diagram illustrates a two-stage compression refrigeration system with an adiabatic liquid-vapor separator. The system uses refrigerant-134a as the working fluid. - **Operating Conditions:** - **Evaporator Pressure:** 100 psia - **Condenser Pressure:** 300 psia - **Separator Pressure:** 200 psia - **Power Usage:** The compressors use 29 kW of power. - **Refrigerant Conditions:** - Saturated liquid at the inlet of each expansion valve. - Saturated vapor at the inlet of each compressor. - Compressors are isentropic. **Objective:** Determine: 1. The rate of cooling provided by the evaporator (in Btu/h). 2. The Coefficient of Performance (COP) of the system. **Diagram Explanation:** 1. **Compressor 1 (Bottom Left):** - Suctions low-pressure vapor from the evaporator. - Discharges high-pressure vapor to the condenser. 2. **Condenser (Top):** - Cools and condenses refrigerant from vapor to liquid. 3. **Separator (Middle):** - Separate phases to manage pressures and temperatures in the cycle. 4. **Compressor 2 (Top Left):** - Works with the separated vapor from the separator. - Discharges to maintain the condenser pressure. 5. **Expansion Valves:** - Manage pressure drops for the refrigerant entering evaporator and separator. 6. **Evaporator (Bottom Right):** - Absorbs heat from the surroundings providing cooling effect. **Equations and Data Needed:** - Use saturated refrigerant-134a tables for required values. **Results:** - The rate of cooling provided by the evaporator is [Blank] Btu/h. - The COP of the refrigerator is [Blank]. *Note: Fill in the blanks using specific calculations based on the given conditions and refrigerant data tables.*
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