Your supervisor tells you that a process stream (1) with a volumetric flow rate of 1 kg/s, having water- like properties, needs to be cooled from 100C to 50C. You have cooling water (2) available at 5C, and your shop mechanic has some extra pipes to create a double pipe heat exchanger, including a 4 schedule-40 copper inner pipe, and an 8" schedule-40 outer pipe, including some insulation to place around it to keep heat from escaping. From this, you would like to design a counter-current heat exchanger such that the process fluid flows through the inner pipe and the cooling water flows through the outer pipe. Thermal properties of water P (kg/m) C. (J/kg K) u (Pas) k (W/mK) a x 10(m/s) 1000 4182 0.001 0.6 0.132 Thermal properties of copper P (kg/m) (J/kg K) k (W/m K) 9000 410 23 You may assume that the material properties do not change with temperature. (a) Calculate the heat load for the process. (b) Determine the flow rate of cooling water if it must be returned at 25 C. (c) For the flow rate you calculated in (b), determine the length of pipe required