Question

3.113 A heat pump is under consideration for heating a research station located on Antarctica ice shelf. The interior of the station is to be kept at 15℃. Determine the maximum theoretical rate of heating provided by a heat pump, in ????W p???????? ????W of power input in each of two cases: The role of the cold reservoir is played by (a) the atmosphere at −20℃, (b) ocean water at 5℃.

Answer 1

a. β = 8.23 K

b. β = 28.815 K

Step-by-step explanation:

Heat pump can be find using the equation

β = TH / TH - TC

a.

TH = 15 ° C + 273.15 K = 288.15 K

TC = - 20 ° C + 273.15 K = 253.15 K

β = 288.15 K / 288.15 k - ( 253.15 K )

β = 8.23 K

b.

TH = 15 ° C + 273.15 K = 288.15 K

TC = 5 ° C + 273.15 K = 278.15 K

β = 288.15 K / 288.15 k - ( 278.15 K )

β = 28.815 K