In ships, distilled water obtained from seawater is used for meeting various needs such as boilers and baths. The main purpose of this system is the production of fresh water through the condensation of vapor generated by evaporating seawater. The evaporation process in the evaporator is facilitated by waste heat, contributing to energy savings. The seawater, heated in the evaporator and separated from its salt content, enters the condenser with a temperature of 120C and a flow rate of 15 kg/s. The condenser has 20 tubes with a diameter of 35 mm, each passing through the body ten times. Considering that the cooling fluid enters the tubes at a temperature of 70C, the fouling factor (Rf) is known to be 0.0005 mC/W.

a) Calculate the convective heat transfer coefficient of the fluid passing through the tubes (hi, W/mK). b) Determine the convective heat transfer coefficient of the fluid passing through the shell (ho, W/mK). c) Calculate the overall heat transfer coefficient of the heat exchanger, U (W/mK), taking fouling factors into account in the calculation. d) Determine the outlet temperature of the cold fluid (C). e) Calculate the flow rate of one of the fluids (kg/s). f) Determine the heat transfer in the heat exchanger, q (W). g) Calculate the required heat transfer area, A (m), or other parameters such as tube length, L (m), number of tubes, and passes for heat transfer.