QUESTION 3 (23 marks) a) An electric heating coil is immersed in a well-insulated tank to supply the required amount of heat for 20 kg of water. The water is initially at 25C and 1 atm with heat (10) capacity of 4.18 kJ kg- C -. The rate of heating by the electric coil is 2500 W for the tank and its contents. Assume that 97% of the energy delivered by the coil goes into heating the water while the remaining is lost to the surrounding. How long will it take for the temperature of the solvent to reach 100C? You are also required to assemble the block diagram with properly defined variables, and state all the relevant assumptions. b) The dry season caused the water level in reservoir to be decreasing. The metrologies announced that the drought for that year would be continued for another 70 days. They also estimate that the consumption rate in the city is approximately 107 L/day. (13) On the other hand, they estimate that rainfall and stream drainage into the reservoir including the evaporation should yield net water input rate of 106 exp L/day, where t is the time in days for the beginning of the drought. Initial volume of the reservoir at the day one of the dry season is estimated to be 10 litre. (-t/100)