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An air conditioner removes 1.5kcal of heat per second from a large room. The power required to run it is 2kw.if the typical value of Q2/wbis one tenth that of a Carnot refrigerator and the temp outside is 40 C calculate.temo.i side the.room?
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An air conditioner removes 1.5kcal of heat per second from a large roo...
Calculating the Temperature Inside the Room
- Given:
- Heat removed per second (Q) = 1.5 kcal
- Power required to run the AC (W) = 2 kW
- Q2/W = 1/10 of Carnot refrigerator
- Temperature outside (T2) = 40°C
- Let's first convert the power to the same unit as heat:
- Power = Energy/Time
- 2 kW = 2 kJ/s
- We know that Q = W + Q2
- Q = 1.5 kcal = 6.3 kJ/s
- Given Q2/W = 1/10, Q2 = W/10
- Substituting the values in the equations:
- 6.3 = 2 + Q2
- Q2 = 4.3 kJ/s
- Now, let's use the formula for the efficiency of a Carnot refrigerator:
- Efficiency = 1 - (T2/T1)
- Efficiency = Q2/Q = 4.3/6.3 = 0.6825
- T1 = T2 / (1 - Efficiency) = 40 / (1 - 0.6825) = 40 / 0.3175 ≈ 126.0°C
Therefore, the temperature inside the room is approximately 126.0°C. This calculation is based on the given values and the principles of thermodynamics.
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An air conditioner removes 1.5kcal of heat per second from a large room. The power required to run it is 2kw.if the typical value of Q2/wbis one tenth that of a Carnot refrigerator and the temp outside is 40 C calculate.temo.i side the.room?
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An air conditioner removes 1.5kcal of heat per second from a large room. The power required to run it is 2kw.if the typical value of Q2/wbis one tenth that of a Carnot refrigerator and the temp outside is 40 C calculate.temo.i side the.room? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An air conditioner removes 1.5kcal of heat per second from a large room. The power required to run it is 2kw.if the typical value of Q2/wbis one tenth that of a Carnot refrigerator and the temp outside is 40 C calculate.temo.i side the.room? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An air conditioner removes 1.5kcal of heat per second from a large room. The power required to run it is 2kw.if the typical value of Q2/wbis one tenth that of a Carnot refrigerator and the temp outside is 40 C calculate.temo.i side the.room?.
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