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Refrigerator or Heat Pump is considered one the most difficult concept.
11 Questions around this concept.
For a refrigerator which of the following statements is true
1) A refrigerator is basically a heat engine running in the reverse direction
2) Coefficient of performance = Heat extracted / Work done
3) The relation b/w coefficient of performance and efficiency of the refrigerator is
The temperature inside a refrigerator is $t_2^{\circ} \mathrm{C}$ and the room temperature is $t_1^{\circ} \mathrm{C}$. The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be:
A Carnot engine, having the efficiency of a heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at a lower temperature is:
A refrigerator works between 4°C and 30°C. It is required to remove 600 calories of heat every second in order to keep the temperature of the refrigerated space constant. The power required is: (Take 1 cal = 4.2 joules)
The coefficient of performance of a refrigerator is 5. If the temperature inside freezer is - 20°C, the temperature of the surroundings to which it rejects heat is:
A Carnot engine having an efficiency of $\frac{1}{10}$ as a heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at a lower temperature is:
A Carnot engine works as a refrigerator between 250 K and 300 K. It receives 500 cal heat from the reservoir at the lower temperature. The amount of work done (in J) in each cycle to operate the refrigerator is:
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A refrigerator freezes 1 kg of water at $0^{\circ} \mathrm{C}$ in 3 minutes. The room temperature is $27^{\circ} \mathrm{C}$. The latent heat of fusion of ice is 80 cal/g then choose the incorrect statement
In a refrigerator, one removes heat from a lower temperature and deposits it to the surroundings at a higher temperature. In this process, mechanical work has to be done, which is provided by an electrical motor. If the motor is of 1 kW power and heat is transferred from $-3^{\circ} \mathrm{C}$ to $27^{\circ} \mathrm{C}$, find the heat taken out of the refrigerator per second assuming its efficiency is $50 \%$ of a perfect engine.
If the coefficient of performance of a refrigerator is 5 and 6 operates at the room temperature $\left(27^{\circ} \mathrm{C}\right)$, find the temperature inside the refrigerator.
A refrigerator or heat pump is basically a heat engine run in the reverse direction.
It consists of three parts
1. Source: At higher temperature T1
2. Working substance: It is called refrigerant. I.e liquid ammonia and freon works as a working substance.
3. Sink: At lower temperature T2.

As shown in the above figure, The working substance takes heat Q2 from a sink (contents of refrigerator) at lower temperature T2, has a net amount of work done W on it by an external agent (usually compressor of refrigerator) and gives out a larger amount of heat Q1 to a hot body at temperature T1 (usually atmosphere).
The cold body is cooled more and more with the help of a refrigerator. Because the refrigerator transfers heat from a cold to a hot body at the expense of mechanical energy supplied to it by an external agent.
The coefficient of performance is defined as the ratio of the heat extracted from the cold body to the work needed to transfer it to the hot body.
A perfect refrigerator is one which transfers heat from cold to a hot body without doing work.
So using
we get
where T1 = temperature of surrounding, T2 = temperature of cold body and
when T2 = 0 then
I.e if the cold body is at the temperature equal to absolute zero, then the coefficient of performance will be zero
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