Plant scherer is a coal-fired power plant in juliette, georgia that has a total po 2,500 mw (recall: i water flows through the power plant at a rate of assuming thi power output of w ? j/s). the reactor is cooled using water from a nearby river. cooling 20 m/s and has an inlet temperature of 10°c s power plant has an energy efficiency of 35%, answer the following questions (e (5 points) draw the carnot heat engine efficieney cyele for the power plant labeling output (b) (10 points) given the energy efficiency of the power plant, calculate the input power (qd (o) (5 points) if the energy density of the coal used at the power plant is 12.5 mj/kg, then how (d) (10 points) assuming that the cooling water is completely mixed, what would be the power as w, input power as qe, and waste heat as qe and waste heat (qe) both in mw much coal (in kg) is needed to maintain the power output of the plant for 1 day? note: the input energy for the power plant is the energy from coal. temperature of the cooling water leaving the power plant (in "c) at steady-state? state all your assumptions and show details of your calculations. pay attention to units.