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on a He turns on the air conditioner, which cools the entire house to When a man returns to his well-sealed house c 6-45 summer day, he finds that the house is at 25 20°C in 30 min. If the COP of the air-conditioning system is 2.8, determine the power drawn by the air conditioner. Assume the entire mass within the house is equivalent to 800 kg of air for which c, = 0.72 kJ/kg-°C and c, Cp 1.0 kJ/kg-°C. Win 35°C 20°C A/C FIGURE P6-45

on a He turns on the air conditioner, which cools the entire house to When a man returns to his well-sealed house c 6-45 summer day, he finds that the house is at 25 20°C in 30 min. If the COP of the air-conditioning system is 2.8, determine the power drawn by the air conditioner. Assume the entire mass within the house is equivalent to 800 kg of air for which c, = 0.72 kJ/kg-°C and c, Cp 1.0 kJ/kg-°C. Win 35°C 20°C A/C FIGURE P6-45

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### Problem Context: **6-45:** When a man returns to his well-sealed house on a summer day, he finds that the house is at 35°C. He turns on the air conditioner, which cools the entire house to 20°C in 30 minutes. If the COP (Coefficient of Performance) of the air-conditioning system is 2.8, determine the power drawn by the air conditioner. Assume the entire mass within the house is equivalent to 800 kg of air, for which \( c_v = 0.72 \, \text{kJ/kg°C} \) and \( c_p = 1.0 \, \text{kJ/kg°C} \). ### Diagram Description: The diagram (Figure P6–45) illustrates a house and an air conditioning (A/C) unit. The house initially at 35°C is cooled down to 20°C. An arrow from the house points to the A/C unit, indicating heat transfer. Another arrow labeled \( \dot{W}_{in} \) (power input) points from outside into the A/C unit, suggesting energy input required for operation. ### Key Concepts: - **Coefficient of Performance (COP):** A measure of the efficiency of a cooling system. It is defined as the ratio of heat removal rate to power input. - **Specific Heat Capacities:** - \( c_v \): Specific heat at constant volume. - \( c_p \): Specific heat at constant pressure. **End of Text**
Transcribed Image Text:### Problem Context: **6-45:** When a man returns to his well-sealed house on a summer day, he finds that the house is at 35°C. He turns on the air conditioner, which cools the entire house to 20°C in 30 minutes. If the COP (Coefficient of Performance) of the air-conditioning system is 2.8, determine the power drawn by the air conditioner. Assume the entire mass within the house is equivalent to 800 kg of air, for which \( c_v = 0.72 \, \text{kJ/kg°C} \) and \( c_p = 1.0 \, \text{kJ/kg°C} \). ### Diagram Description: The diagram (Figure P6–45) illustrates a house and an air conditioning (A/C) unit. The house initially at 35°C is cooled down to 20°C. An arrow from the house points to the A/C unit, indicating heat transfer. Another arrow labeled \( \dot{W}_{in} \) (power input) points from outside into the A/C unit, suggesting energy input required for operation. ### Key Concepts: - **Coefficient of Performance (COP):** A measure of the efficiency of a cooling system. It is defined as the ratio of heat removal rate to power input. - **Specific Heat Capacities:** - \( c_v \): Specific heat at constant volume. - \( c_p \): Specific heat at constant pressure. **End of Text**
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