Problem$-3$

A heat pump is under consideration for heating a research station located on an Antarctica ice shelf. The interior of the station is to be kept at $\backslash (15^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ Determine the maximum theoretical rate of heating provided by a heat pump, in kW per kW of power input, in each of two cases: The role of the cold reservoir is played by $($a$)$ the atmosphere at $\backslash (-10^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),($b$)$ ocean water at $\backslash (4^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$