there is no exact and detailed answer in chegg $---$ The hydrogenation of $2-$butyne$-1,4-$diol to butenediol is to be carried out in a slurry reactor

using a palladium$-$based catalyst. The reaction is first$-$order in hydrogen and in diol. The initial

concentration of diol is $2\mathrm{.}5$kmo$\frac{l}{m^3}.$ Pure hydrogen is bubbled through the reactor at a

pressure of $35$atm at $35C.$ The equilibrium hydrogen solubility at these conditions is $0\mathrm{.}01$

kmo$\frac{l}{m^3},$ and the specific reaction rate is $0\mathrm{.}048\frac{m}{k}g.$kmol.s$.$ The catalyst charge is $0\mathrm{.}1k\frac{g}{m^3}$

with a particle size of $0\mathrm{.}01cm$ and pellet density of $1500k\frac{g}{m^3}.$

a$)$ Calculate the percent of the overall resistance contributed by each of the transport steps.

b$)$ Plot conversion as a function of time up to $95\%.$

c$)$ How could the reaction time be reduced?

Additional Information:

diffusivity $={10}^{-9}\frac{m^2}{s}$ for $H_2$ in organics

$k_b{a}_b=0\mathrm{.}3s^{-1}$

$kc=0\mathrm{.}005c\frac{m}{s}$ for $H_2$ in organics

$kc=0\mathrm{.}009c\frac{m}{s}$ for $2-$butyne$-1,4-$diol in butenediol

pellet density $=1\mathrm{.}6\frac{g}{c}{m}^3,$ pellet porosity $=0\mathrm{.}45$