Assertion (A): The coefficient of performance of a heat pump is greate...
R is false. For refrigerating machine our aim is to extract heat from lower temperature source. In heat pump we are interested on heat addition to higher temperature side so it is heat extracted + work added. That so why it’s COP is higher but work requirement is same for both the machine.
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Assertion (A): The coefficient of performance of a heat pump is greate...
Assertion (A): The coefficient of performance of a heat pump is greater than that for the refrigerating machine operating between the same temperature limits.
Reason (R): The refrigerating machine requires more energy for working whereas a heat pump requires less.
Explanation:
A heat pump and a refrigerating machine are both thermodynamic systems that transfer heat from a low-temperature reservoir to a high-temperature reservoir. However, their objectives are different.
Heat Pump:
- A heat pump is designed to provide heating by extracting heat from a low-temperature source (e.g., ambient air, underground, etc.) and delivering it to a high-temperature sink (e.g., a building).
- The coefficient of performance (COP) of a heat pump is defined as the ratio of the desired heating or cooling effect to the required input energy.
- The COP of a heat pump is always greater than 1 because it can transfer more heat from the low-temperature source to the high-temperature sink.
- The heat pump achieves this by utilizing a small amount of input energy to drive the thermodynamic cycle, such as a vapor compression cycle.
Refrigerating Machine:
- A refrigerating machine is designed to provide cooling by extracting heat from a low-temperature sink (e.g., a refrigerator) and rejecting it to a high-temperature environment (e.g., ambient air).
- The COP of a refrigerating machine is defined as the ratio of the desired cooling effect to the required input energy.
- The COP of a refrigerating machine is always less than 1 because it requires more energy to remove heat from the low-temperature sink to the high-temperature environment.
- The refrigerating machine needs to overcome the natural heat flow from a colder region to a hotter region, which requires additional work input.
Conclusion:
Based on the above explanation, we can conclude that Assertion (A) is true. The coefficient of performance of a heat pump is greater than that for the refrigerating machine operating between the same temperature limits. However, Reason (R) is false. The reason provided does not correctly explain the assertion.
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