A heat engine operating in outer space may be assumed equivalent to a Carnot engine operating between reservoirs at temperatures THand TcThe only way heat can be discarded from the engine is by radiation, the rate of which is given (approximately) by:Qc= kA(Tc^4)Prove that, for fixed power output and for fixed temperature TH, the radiator area A is a minimum when the temperature ratio Tc/THis 0.75A heat engine operating in outer space may be assumed equivalent to a Carnot engine operating between reservoirs at temperatures THand TcThe only way heat can be discarded from the engine is by radiation, the rate of which is given (approximately) by:Qc= kA(Tc^4)Prove that, for fixed power output and for fixed temperature TH, the radiator area A is a minimum when the temperature ratio Tc/THis 0.75