A Carnot engine operates between temperature levels of 600 K and 300 K. It drives a Carnot refrigerator, which provides cooling at 250 K and discards heat at 300 K. Determine a numerical value for the ratio of heat extracted by the refrigerator ("cooling load") to the heat delivered to the engine ("heating load").

Explanation:

Formula for maximum efficiency of a Carnot refrigerator is as follows.

      ..... (1)

And, formula for maximum efficiency of Carnot refrigerator is as follows.

      ...... (2)

Now, equating both equations (1) and (2) as follows.

  =        

                    =

                    =

                    = 2.5

Thus, we can conclude that the ratio of heat extracted by the refrigerator ("cooling load") to the heat delivered to the engine ("heating load") is 2.5.

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