A heat pump (HP) is used to heat a house and maintain it at 24 °C. On a winter day when the outdoor air temperature is -5 °C, the house is estimated to lose heat at a rate of 80,000 kJ/h. Determine the minimum power required (????,??) to operate this heat pump. The diagram illustrates a simplified heat pump system used to heat a house. Here's a detailed breakdown:1. **House**: - Temperature inside the house is maintained at 24°C. - Heat flow into the house is shown as 80,000 kJ/h. 2. **Heat Pump (HP)**: - The heat pump transfers heat from a colder area to a warmer one. - It takes in work \( \dot{W}_{\text{net,in}} \) to operate.3. **Source**: - The heat pump extracts heat from an external source at a temperature of -5°C.The system likely illustrates the energy balance and operation of a heat pump, which uses external work input to transport heat from a colder space to a warmer one, efficiently heating the house.

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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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A heat pump (HP) is used to heat a house and maintain it at 24 °C. On a winter day when the outdoor air temperature is -5 °C, the house is estimated to lose heat at a rate of 80,000 kJ/h. Determine the minimum power required (????,??) to operate this heat pump.

The diagram illustrates a simplified heat pump system used to heat a house. Here's a detailed breakdown:

1. **House**:
- Temperature inside the house is maintained at 24°C.
- Heat flow into the house is shown as 80,000 kJ/h.

2. **Heat Pump (HP)**:
- The heat pump transfers heat from a colder area to a warmer one.
- It takes in work \( \dot{W}_{\text{net,in}} \) to operate.

3. **Source**:
- The heat pump extracts heat from an external source at a temperature of -5°C.

The system likely illustrates the energy balance and operation of a heat pump, which uses external work input to transport heat from a colder space to a warmer one, efficiently heating the house.

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