In a reactor surrounded by a cooling jacket, to which water at $23\backslash$deg C is fed, sulfur dioxide is oxidized to sulfur trioxide. S$O2$ and $110\%$ excess air are fed to the reactor at $420\backslash$deg C$.$ The reaction proceeds up to $68\%$ conversion of SO$2$ and the products emerge from the reactor at $525\backslash$deg C$.$ The S$O_3$production rate is $2\mathrm{.}0$ X ${10}^2$kg $/$ min.

a$)$ Calculate the feed flows in standard cubic meters per second of S$02$ and air and the progress of the reaction in kmol$/$s$.$

b$)$ Calculate the energy requirement of the reactor $in$ kW$.$ To do this, build an enthalpy table and specify the selected references and trajectories.

c$)$ If the heat from the previous point is transferred to the water used in the cooling jacket, calculate what the minimum flow of water must be so that its temperature rise remains below $14\backslash$deg C$.$