Homework Help: The coefficient of performance for refrigerators....

Q) The coefficient of performance for refrigerators is defined as K = qc / w. It is also known as Tcold / Thot - Tcold.

What happens to K reversible as Tc (temp cold) goes to 0k?

Sol:

K = T_cold/(T_hot-T_cold)

K reversible means 1/K

Hence 1/K= (T_hot-T_cold)/ T_cold

              = (T_hot/ T_cold)-( T_cold/ T_cold)

         =  (T_hot/ T_cold)- 1

By neglecting 1, which is a small value, we get

1/K directly proportional to 1/ T_cold

Hence as T_cold goes to 0k, K reversible tends to infinity, a very large value.

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