A very simple solar engine absorbs heat through a collector. The collector loses some of the heat it absorbs by convection, and the remainder is passed through a heat engine to produce electricity. The heat engine operates with one-half the Carnot efficiency with its low-temperature side at ambient temperatureTb and its high temperature side at the steady-state temperature of the collector, Tc. Rate of heat loss from the collector = k (Tc -Tamb) where T1 is the temperature at which heat enters thesolar collector, and k is the overall heat transfer coefficient;all temperatures are absolute. What collector temperature produces the maximum rate at which work is produced for a given heat flux tothe collector?