Problem 3 (3 points total) Methanol (MeOH), the simplest alcohol, is a versatile chemical that is used as a common starting reagent for higher value products, a gasoline additive, or even a reactant in fuel cells. As such, there is great economic value in synthesizing methanol at large scale. Consider a biosynthesis unit that produces MeOH vapor at a temperature of 800 F. This product passes through a well- insulated heat exchanger, where it is cooled by liquid water that is initially at 70 F and 70 psia. The heat transfer inside the exchanger vaporizes the water, causing it to emerge as saturated dry steam at 70 psia. If the molar ratio of MeOH to water is 5:1, what is the exit temperature of the MeOH in units of F? Methanol T= ??? Methanol T = 800 F Heat exchanger Liquid water P = 70 psia Dry steam P = 70 psia = Figure 1. Methanol-water heat exchanger. The streams do not mix, but energy is transferred between the methanol and water