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A heat pump operating on Carnot cycle pumps heat from a reservoir at 300 K to a reservoir at 600 K. The coefficient of performance is:  
  • a)
    1.5    
  • b)
    0.5    
  • c)
    2    
  • d)
    1
Correct answer is option 'C'. Can you explain this answer?
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A heat pump operating on Carnot cycle pumps heat from a reservoir at 3...
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A heat pump operating on Carnot cycle pumps heat from a reservoir at 3...
Explanation:
A Carnot cycle is the most efficient thermodynamic cycle possible for converting heat into work, or for using work to move heat between two reservoirs. The efficiency of a Carnot cycle depends only on the temperatures of the two reservoirs, and not on the working substance used or the details of the cycle.

Coefficient of Performance (COP) is defined as the ratio of the heat transferred to or from a system to the work done by the system. For a heat pump, COP is defined as the ratio of the heat transferred from the cold reservoir to the hot reservoir to the work done by the compressor.

In a Carnot cycle, the COP is given by the ratio of the absolute temperatures of the two reservoirs:

COP = Th/(Th - Tc)

where Th is the absolute temperature of the hot reservoir and Tc is the absolute temperature of the cold reservoir.

In this case, the hot reservoir has a temperature of 600 K and the cold reservoir has a temperature of 300 K.

COP = 600/(600 - 300) = 2

Therefore, the correct answer is option C, which is 2.
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A heat pump operating on Carnot cycle pumps heat from a reservoir at 3...
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