This is a reaction of membrane reactor of methanol synthesis by hydrogenation of carbon dioxide the things that i have the final $($outlet$)$ mole flow rate but i dont have the inlet flow rate and i have to find it by using the extent and find the n inlet and all that by using the reactions that i have the things that i am working into this for $4$ months and the inlet is not equal to the outlet so please i need you help also i am not sure does the mebrane reactor mine has $3$ or $2$ reactions so please find the n inlet

Reactions

There are a $3$ ractions

Reactor

happen through reactory

A$)C{O}_2+3H_{2}C{H}_{3}OH+H_{2}O$

B$)C{O}_2+H_{2}CO+H_{2}O($watergas shift$)$

C$)CO+2H_{2}C{H}_{3}OH($methanol decompositions$)x$

First, convert From mass Flow rate to mole flow rate by dividing them by molecular weight

$n$ Final

$nC{O}_2=\frac{62043\mathrm{.}132\frac{kg}{h}r}{44\mathrm{.}009\frac{kg}{\text{m}\text{o}\text{l}}}=1409\mathrm{.}782817\frac{\text{m}\text{o}\text{l}}{mr}$

${}_{H_2}=\frac{14758\mathrm{.}80214(N),Kglwr}{2\frac{kg}{\text{m}\text{o}\text{l}}}=7379\mathrm{.}40107\frac{\text{m}\text{o}\text{l}}{mr}$

${}_{CH3OH}=\frac{11183\mathrm{.}56756kglhr}{32\mathrm{.}042\frac{kg}{\text{m}\text{a}\text{l}}}=349\mathrm{.}02838\frac{\text{m}\text{o}\text{l}}{mr}$

$h_{H_{20}}=\frac{3466\mathrm{.}8085\frac{kg}{h}r}{18\mathrm{.}01528\frac{kg}{\text{m}\text{a}\text{l}}}=192\mathrm{.}4371145\frac{md}{hr}$

$n_{co}=\frac{5981\mathrm{.}455124\text{k}\text{s}\text{i}\text{l}\text{m}}{28\mathrm{.}01\frac{kg}{\text{m}\text{o}\text{l}}}=213\mathrm{.}54713$moc

out

ntot $=9544\mathrm{.}196512$ for each component and answer my question please i will be thankful for you for the rest of my li