Assertion (A ): T he COP of an air-conditioning plant is lower than th...
The COP of an air-conditioning plant is higher than that of an ice plant.
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Assertion (A ): T he COP of an air-conditioning plant is lower than th...
Assertion (A): The COP of an air-conditioning plant is lower than that of an ice plant.
Reason (R): The temperatures required in the ice plant are lower than those required for an air-conditioning plant.
Explanation:
Definition of COP:
The coefficient of performance (COP) is a measure of the efficiency of a heat pump or refrigeration system. It is defined as the ratio of the desired output to the required input.
Understanding Assertion (A) and Reason (R):
- The assertion states that the COP of an air-conditioning plant is lower than that of an ice plant.
- The reason given for this is that the temperatures required in the ice plant are lower than those required for an air-conditioning plant.
Analysis:
- The COP of a refrigeration or air-conditioning system is given by the formula: COP = Qc / W, where Qc is the cooling capacity and W is the work input.
- In an air-conditioning plant, the purpose is to remove heat from a space and maintain a lower temperature. The required temperature for air-conditioning is typically around 20-25 degrees Celsius.
- In an ice plant, the purpose is to freeze water and produce ice. The required temperature for ice production is typically below 0 degrees Celsius, usually around -5 to -10 degrees Celsius.
- The COP of a refrigeration system increases as the temperature difference between the evaporator and condenser decreases.
- Since the temperature required in an ice plant is lower than that required for an air-conditioning plant, the temperature difference in an ice plant is smaller, resulting in a higher COP.
Conclusion:
- The assertion is false because the COP of an ice plant is higher than that of an air-conditioning plant, not lower.
- The reason given is true, as the temperatures required in an ice plant are indeed lower than those required for an air-conditioning plant.
- Therefore, option (d) is the correct answer: A is false but R is true.