The liquid phase reaction (2 mathrm{~A} ightarrow mathrm{B}), is to be carried out in a 500

The liquid phase reaction \(2 \mathrm{~A} \rightarrow \mathrm{B}\), is to be carried out in a 500 liter well-mixed reactor. Pure \(\mathrm{A}\) is to be fed to the reactor at a rate of \(20 \mathrm{moles} / \mathrm{hr}\) and at a temperature of \(150^{\circ} \mathrm{C}\). The endothermic reaction has a heat of reaction of \(150,000 \mathrm{~J} / \mathrm{mol}\). Saturated steam flows through the reactor jacket that has an overall heat transfer coefficient of \(5 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\). The reactor is to be maintained at a temperature of \(250^{\circ} \mathrm{C}\) at every point. A production rate of 7 moles \(/ \mathrm{hr}\) of B is desired. The heat capacities for A and B are \(10 \mathrm{~J} / \mathrm{mol} \mathrm{K}\) and \(15 \mathrm{~J} / \mathrm{mol} \mathrm{K}\) respectively. The steam jacket has a surface area of \(2.5 \mathrm{~m}^{2}\).

a. What is the temperature and pressure of the saturated steam required?

b. Assuming a perfectly insulated system, what is the minimum steam flow rate required?