Consider a water-to-water counter-flow heat exchanger with these specifications. hot water enters at 90 oc while cold water enters at 20 oc. the exit temperature of hot water is 15 oc greater than that of cold water. the product of heat transfer surface area and the overall heat transfer coefficient is 3300 w/k. taking the specific heat of both cold and hot water to be cp = 4190 j/kg. k, determine (a) the outlet temperature of the cold water, (b) the effectiveness of the heat exchanger, (c) the mass flow rate of the cold water, and (d) the heat transfer rate