P21 035

background image

35. A Carnot refrigerator working between a hot reservoir at temperature T

H

and a cold reservoir at tem-

perature T

L

has a coefficient of performance K that is given by K = T

L

/(T

H

− T

L

). For the refrigerator

of this problem, T

H

= 96

F = 309 K and T

L

= 70

F = 294 K, so K = (294 K)/(309 K

294 K)= 19.6.

The coefficient of performance is the energy Q

L

drawn from the cold reservoir as heat divided by the

work done: K =

|Q

L

|/|W |. Thus, |Q

L

| = K|W | = (19.6)(1.0 J) = 20 J.


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