An efficient power system for space applications is based on a Rankine cycle using potassium as the working fluid. The working fluid at the turbine inlet is at $1200$ K and $2\mathrm{.}0$ bar, and is fixed. The pump inlet is saturated liquid and the pump work is negligible. The turbine efficiency is $0\mathrm{.}7.$ In space, the condenser must be a radiator, and weight is of critical importance. Determine the operating conditions corresponding to minimum weight radiator for a given turbine power. Calculate and plot the ratio of the radiator area to power output $(\frac{m^2}{k}W)$ versus the condenser temperature. Try a condenser temperature range from $800$ to $1100$ K $.$ The thermal power is radiated according to the equation $Q^{}=T^4$A where $A$ is the radiator area, and $=5\mathrm{.}68{10}^{-8}\frac{W}{m^2*(K)}.$