Hot exhaust gases leaving an internal combustion engine at 400oC and 150 kPa at a rate of 0.8 kg/s are to be used to produce saturated steam at 200oC in an insulated heat exchanger. Water enters the heat exchanger at the ambient temperature of 20oC, and the exhaust gases leave the hear exchanger at 350oC. Determine (a) the rate of steam production, (b) the rate of exergy destruction in the heat exchanger, and (c) the second-law efficiency of the heat exchanger.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Hot exhaust gases leaving an internal combustion engine at 400oC and 150 kPa at a rate of 0.8
kg/s are to be used to produce saturated steam at 200oC in an insulated heat exchanger. Water
enters the heat exchanger at the ambient temperature of 20oC, and the exhaust gases leave the
hear exchanger at 350oC. Determine (a) the rate of steam production, (b) the rate of exergy
destruction in the heat exchanger, and (c) the second-law efficiency of the heat exchanger.

### Heat Exchanger Diagram Explanation

This diagram represents a heat exchanger, showcasing the flow and transformation of different substances through it:

- **Left Inlet:**
  - **Substance:** Exhaust Gas (Exh. gas)
  - **Temperature:** 400°C
  - **Pressure:** 150 kPa

- **Top Outlet:**
  - **Temperature:** 350°C
  - **Substance:** Reduced Temperature Exhaust Gas

- **Bottom Inlet:**
  - **Substance:** Saturated Vapor (Sat. vap.)
  - **Temperature:** 200°C

- **Right Outlet:**
  - **Substance:** Water
  - **Temperature:** 20°C

### Detailed Process Description

1. **Exhaust Gas Inlet**: Exhaust gas enters the heat exchanger at a high temperature of 400°C and a pressure of 150 kPa.

2. **Heat Transfer**: Inside the heat exchanger, the exhaust gas transfers heat to the other substance (saturated vapor), resulting in the exhaust gas temperature reducing to 350°C as it exits.

3. **Saturated Vapor Inlet**: Saturated vapor enters at a temperature of 200°C. The vapor absorbs heat from the exhaust gas.

4. **Water Outlet**: Water exits the system at 20°C, having been stabilized after the heat exchange process.

This diagram is a simplified representation of the thermal exchange processes that occur in heat exchangers, commonly used in various industrial applications for energy efficiency and heat recovery.
Transcribed Image Text:### Heat Exchanger Diagram Explanation This diagram represents a heat exchanger, showcasing the flow and transformation of different substances through it: - **Left Inlet:** - **Substance:** Exhaust Gas (Exh. gas) - **Temperature:** 400°C - **Pressure:** 150 kPa - **Top Outlet:** - **Temperature:** 350°C - **Substance:** Reduced Temperature Exhaust Gas - **Bottom Inlet:** - **Substance:** Saturated Vapor (Sat. vap.) - **Temperature:** 200°C - **Right Outlet:** - **Substance:** Water - **Temperature:** 20°C ### Detailed Process Description 1. **Exhaust Gas Inlet**: Exhaust gas enters the heat exchanger at a high temperature of 400°C and a pressure of 150 kPa. 2. **Heat Transfer**: Inside the heat exchanger, the exhaust gas transfers heat to the other substance (saturated vapor), resulting in the exhaust gas temperature reducing to 350°C as it exits. 3. **Saturated Vapor Inlet**: Saturated vapor enters at a temperature of 200°C. The vapor absorbs heat from the exhaust gas. 4. **Water Outlet**: Water exits the system at 20°C, having been stabilized after the heat exchange process. This diagram is a simplified representation of the thermal exchange processes that occur in heat exchangers, commonly used in various industrial applications for energy efficiency and heat recovery.
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