The gaseous elemental reaction A $$ B is going to be carried out in a PFR reactor isothermally at $127\backslash$deg C and $10$

atm feeding pure A$.$ A production rate of $450$ kg h$$ of B is required. For this reaction

knows k $=0\mathrm{.}0015$ min$1$ at $27\backslash$deg C and has an activation energy of $1\mathrm{.}05\backslash$times $105$ kJ kmol$.$ The molar mass of

A and B is $58$ kg kmol$.$ For a $90\%$ conversion of A$,$ determine:

a$)$ The total volume of the reactor to achieve the required conversion $($dm$3).$

b$)$ If there are parallel tubes $3$ m long and one inch in diameter, how many tubes would be used?

in the reactor?