The coefficient of performance (COP) of a refrigerator working as a heat pump is given by:a)(COP)heat pump = (COP)refrigerator+ 2b)(COP)heat pump = (COP)refrigerator+ 1 c)(COP)heat pump = (COP)refrigerator – 1d)(COP)heat pump = (COP)refrigeratorCorrect answer is option 'B'. Can you explain this answer?

Question

The coefficient of performance (COP) of a refrigerator working as a heat pump is given by:a)(COP)heat pump = (COP)refrigerator+ 2b)(COP)heat pump = (COP)refrigerator+ 1    c)(COP)heat pump = (COP)refrigerator &#8211; 1d)(COP)heat pump = (COP)refrigeratorCorrect answer is option 'B'. Can you explain this answer?

Answer

Explanation:

The coefficient of performance (COP) is a measure of the efficiency of a refrigeration system or a heat pump. It represents the ratio of the amount of heat moved to the amount of work done by the system.

In a refrigerator, the COP is given by:

COPrefrigerator= QL/W

Where QL is the amount of heat removed from the refrigerated space and W is the amount of work done by the compressor.

In a heat pump, the COP is given by:

COPheat pump= QH/W

Where QH is the amount of heat delivered to the heated space.

To understand why (COP)heat pump = (COP)refrigerator 1, we need to consider the following:

1. The refrigeration cycle and the heat pump cycle are essentially the same, except for the direction of heat transfer.

2. In a refrigeration cycle, heat is removed from the refrigerated space and rejected to the ambient. In a heat pump cycle, heat is absorbed from the ambient and delivered to the heated space.

3. The work done by the compressor is the same in both cycles.

Therefore, the COP of a heat pump is equal to the COP of a refrigerator operating in reverse, i.e., with the hot and cold reservoirs reversed. This is because the efficiency of the cycle is determined by the ratio of the amount of heat transferred to the amount of work done, and this ratio is the same in both cases.

Hence, the correct option is (B) (COP)heat pump = (COP)refrigerator 1.

Answer

B is the rt. ans... heat flow from hot body towards  a cold body naturally without the aid of external force. as per clausis statement in thermodynamics..

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