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Topic: Second law, reversible and irreversible processes· Thermodynamics

The temperature inside a refrigerator is t_2°C and the room temperature is t_1°C. The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be

1. \(\frac{t_1+273}{t_1-t_2}\)

2. \(\frac{t_2+273}{t_1-t_2}\)

3. \(\frac{t_1+t_2}{t_1+273}\)

4. \(\frac{t_1}{t_1-t_2}\)

1 answer

Best answer

Answer: 1. \(\frac{t_1+273}{t_1-t_2}\)

The refrigerator works as a heat pump. Ideally its coefficient of performance for the heat delivered to the room is \(\dfrac{Q_1}{W}=\dfrac{T_1}{T_1-T_2}\).

With \(T_1=t_1+273\) and \(T_2=t_2+273\), the heat given to the room per joule of work is

$$\frac{Q_1}{W}=\frac{t_1+273}{t_1-t_2}$$

Option (1). Option (2) is the COP of cooling (\(Q_2/W\)), not the heat delivered.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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