How much work will need to be input to expel 5.0 J of heat to the hot reservoir of a Carnot heat pump operated between 20 $\circ$ C and 0 $\circ$ C?

Question

Quizplus · Accepted Answer

The work input for a Carnot heat pump is given by W = Qc * (Th - Tc) / Tc, where Qc is the heat expelled to the hot reservoir, Th is the temperature of the hot reservoir, and Tc is the temperature of the cold reservoir. Converting temperatures to Kelvin, Th = 293 K and Tc = 273 K. Substituting the values, W = 5 * (293 - 273) / 273 = 0.34 J.

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