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A shell and tube heat exchanger with one shell pass and two tube passes is used exchange heat between water (tube side) and oil (shell side). The following information is known. Water: Inlet temperature is 8C and the outlet temperature is 28C. The velocity in each tube is 1.5m/s. The tubes are 15mm inside diameter and 17mm outside diameter. The thermal conductivity of the tubes is 20W/(mk). For properties of the water, use the following values: Heat capacity: 4200J/(kgK), Prandtl number: 3; Density: 1000kg/m3; Thermal conductivity: 0.6W/(mk); Viscosity: 0.001Pas. Oil: Inlet temperature is 100C and the outlet temperature is 50C. The mass flowrate of the oil is 10kg/s. The heat capacity of the oil is 2000J/(kgK). The outside heat transfer coefficient is 1000 W/(m2K). Using these values and the LMTD method, calculate the following: (a) The total heat transfer rate (b) The mass flowrate of the water (c) The overall heat transfer coefficient based on the outside area. (d) The total area required for the heat transfer I (e) The number of tubes in each pass. (f) The length of each tube