Optimize the heat exchanger design of Example 4.5 to minimize the total surface area required.

Data from example 4.5

A mixture of 100 kmol/h of 80 mol% benzene and 20 mol% ethylene at 40 °C and 100 kPa is fed to a feed-effluent exchanger,
where it is heated to 300 °C and fed to a reactor. The reaction of ethylene and benzene to form ethylbenzene proceeds to 100% conversion of ethylene, and the reactor products are withdrawn, cooled by heat exchange with the feed, and sent to further processing. Estimate the outlet temperature of the product after heat exchange and the total surface area required if the average heat transfer coefficient is 200 Wm ^–2K^–1.