A power cycle operates between a lake's surface water at a temperature of $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and water at a depth whose temperature is $\backslash (8^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ At steady state the cycle develops a power output of $10$ kW $,$ while rejecting energy by heat transfer to the lower temperature water at the rate $\backslash (14,400\backslash$mathrm$\{$~kJ$\}/\backslash$mathrm$\{$min$\}\backslash ).$

Determine the thermal efficiency of the power cycle, the maximum thermal efficiency for any such power cycle, and whether the power cycle is possible.