Question

Suppose a Carnot refrigerator operates between Tc and Th. Calculate the amount of work required to extract 1.0 J of heat from the cold reservoir if (a) Tc=7°C, Th=27°C

a) 0.70 J
b) 0.90 J
c) 0.80 J
d) 0.60 J

Answer 1

The amount of work required to extract 1.0 J of heat from the cold reservoir of a Carnot refrigerator operating between Tc = 7°C and Th = 27°C is 0.70 J.

Step-by-step explanation:

When calculating the amount of work required to extract heat from a Carnot refrigerator, we can use the equation:

W = Qc(Th / (Th - Tc))

where W is the amount of work, Qc is the amount of heat extracted from the cold reservoir, Th is the temperature of the hot reservoir, and Tc is the temperature of the cold reservoir.

Using the given values of Tc = 7°C and Th = 27°C, we can plug them into the equation to find the amount of work required.

W = 1.0 J * (27°C / (27°C - 7°C)) = 0.70 J