Answer to Question #291682 in Physics for SelMel

Question

The boiler operates on a Carnot heat pump, which is installed between a boiler in which the water is at 60 ° C and a basement in which it is 10 ° C.

(a) What is the efficiency of the heat pump?

(b) The pump heats water with a power of 1 kW. How much electrical power does the pump consume?

(c) When pouring water from a boiler with some flow, cold tap water flows into it. Indicate how you would come to a connection during the maximum flow at which this boiler is still "catching up" by continuously heating the supply water, and during the cold water temperature. If possible, complete this connection and state the meaning of all symbolic quantities used

Answer 1

(a) Efficiency:

$$\eta=1-\dfrac {10+273}{60+273}=0.15.$$

(b) Consumed power:

$$P_i=1/0.15=6.66\text{ kW}.$$