Problem 1 (40 pts) Four streams are to be cooled or heated: Stream F (°C) T' (°C) C (kW/°C) H1 180 60 3 H2 150 30 1 C1 30 135 2 C2 80 140 5 a. For ATmin=10°C, find the minimum heating and cooling utilities. What are the pinch temperatures? b. Design a heat exchanger network for MER on both the hot and cold sides of the pinch.