with the composition of $30$ vol. $\%$ SO$2,20$ vol.$\%$ O$2$ and $50$vol.$\%$N$2$ enters a catalytic reactor in which SO$2$ reacts with O$2$ forming SO$3(2$SO$2+$ O$2=2$SO$3).$Conversion of SO$2$ is $90\%.$ a Calculate the volume flow rate of the entering gas $($at $250$C and $101325$ Pa$)$ needed to produce $300$kg of SO$3$ per hour. $.$ Composition as molar $($fractions$)$ and amount $($in m$3/$hour$)$ of the gaseous mixture at the outlet of the reactor $($there is only one output stream containing all components$).$ The pressure at the outlet is $101325$ Pa$,$ and the temperature is $3000$C