$13\mathrm{.}5.$ A gas mixture containing $30\%$ C$2$H$4$ and $70\%$ H$2$O is formed according to the following reaction. It reacts to obtain ethanol. C$2$H$4($g$)+$ H$2$O $($g$)$ C$2$H$5$OH $($g$)$ If the reaction is carried out under conditions of $400$ K and atmospheric pressure, in equilibrium It was determined that $4\mathrm{.}57$ kmol C$2$H$5$OH was formed $($based on $100$ kmol gas mixture$).$ Aforementioned For the reaction to be industrially applicable, at least $10\mathrm{.}5$ kmol ethanol compound must be formed. the reaction in question to the target amount of product. It can only be operated at a temperature of $400$ K and the maximum operating pressure value is It reveals whether it can be carried out in a reactor where $5$ atm is available. put it$.$ Assume that the gas mixture in equilibrium exhibits ideal gas behavior.