Consider a second order isothermal gas phase chemical reaction $($e$=0$; $1>>\backslash$epsi $\backslash$Chi $),$ which is

conducted in a catalytic PBR$.$Find an expression relating catalyst weight and conversion of the reactant and find the pressure profile; i$.$e$.$ the total pressure $($P$)$ as a function of catalyst weight$($W$).$ Hence, show the nature of the plots of $($i$)$ Pressure as function of catalyst weight; $($ii$)$ reactant concentration as function of catalyst weight; $($iii$)$ reactant conversion as function of catalyst weight.