helpQuestion $1$

The production of hydrogen as shown below is a gas phase, an elementary reaction in a

packed bed reactor with $10cm$ internal diameter.

$C{H}_4+C{O}_{2}2CO+2H_2$

The feed contains an equal molar of methane and carbon dioxide, at $10$ bar and $800C\mathrm{.}10\%$

of helium gas is used to form a total volumetric flow of $10L{s}^{-1}$ of gaseous feed to enhance

the reaction rate. The density and viscosity of the feed is $4kg{m}^{-3}$ and $2{10}^{-5}kg{m}^{-1}{s}^{-1},$

respectively.

a$)$ What is the mole of hydrogen produced if the conversion of limiting reactant is $100\%$

and the total feed is $2$ moles at particular duration?

b$)$ What are $C_{AO},$ and $?$ Construct a complete stoichiometric table.

c$)$ Suppose the rate specific constant $k^{\text{'}}=10L^{2}mo{l}^{-1}gea{t}^{-1}{s}^{-1}$ and the activation energy,

$E_a=40,000Jmo{l}^{-1}{K}^{-1}$ at $500C.$ Estimate the weight of $6-$mm$-$diameter catalyst

needed in the reactor when the conversion of the limiting reactant is $85\%.$ The density

of catalyst is $2g{L}^4$ and the catalyst has $50\%$ porosity.