A coal fired power station converts one third of the coal's energy into electricity and the other two thirds of the energy content of the fuel is rejected to the environment as waste heat. The electrical output of the plant is 1000 MW. About 15% of the waste heat goes up the smokestack (lost) and the other 85% is taken away by cooling water that is drawn from a nearby river. The river has a volumetric flow rate of 100 m^3/s and a temperature of 20 degree C. a. If you assume that this coal has an empirical formula C_5H_4 and the reaction is a complete combustion, what is the total mass of coal required per day for the current power output assuming the plant runs for 16 hrs per day? The energy density of coal is 35 times 10^6 J/kg. b. What is the volume of CO_2 produced every day by the plant? c. What would be the river temperature (in degree C) just after it receives the heated cooling water?