In a process design, the following process streams must be cooled or heated:

There is an additional constraint that the only hot utility is steam at \(205^{\circ} \mathrm{C}\). Use the MUMNE algorithm for heat-exchanger networks and a minimum approach temperature of \(20^{\circ} \mathrm{C}\).

a. Determine the temperature interval diagram.

b. Determine the cascade diagram, the pinch temperatures, and the minimum hot and cold utilities.

c. Determine the minimum number of heat exchangers above and below the pinch.

d. Determine a heat-exchange network above the pinch.

e. What effect does the hot-utility constraint have on the heat-exchange network above the pinch?

f. Determine the heat-exchange network below the pinch.

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Stream No. 1 234 10 mCp kW/C 4543 5 4 3 Temperature In C 250 200 140 170 Temperature Out C 180 160 230 210