Four streams are to be cooled or heated: Stream T$ (°C) H1 180 H2 150 C1 C2 30 80 T' (°C) C (kJ/°C.hr) 60 10,800 30 3,600 135 7,200 140 18,000 a) Using the temperature interval method, find the minimum heating and cooling utilities, and the pinch temperature for ATmin = 10°C. (5 points) b) Construct the system's composite curves and grand composite curve. Indicate the pinch on each plot. Indicate regions on the grand composite curve in which potential exists for heat exchange between process streams. Using grand composite curve, indicate the temperatures at which hot utilities and cold utilities must be supplied and the duty required at each temperature. (5 points) c) Determine the total heat removal rate (kJ/hr) from the hot streams and heat addition rate (kJ/hr) to the cold streams. Determine the heat transfer rate (kJ/hr) between process streams. What fraction of hot stream heat removal does this represent? Of cold stream heat addition? (5 points) d) Design a heat exchanger network (HEN) to achieve maximum energy recovery (i.e. minimum utilities) both on the hot and cold sides of the pinch. (5 points) e) Determine the minimum number of heat exchangers for the system. Identify any heat loops for the HEN you designed in part b. Break these loops to achieve the minimum number of heat exchangers. How do the resulting heating and cooling utilities compare with those from part a? (5 points)