The kinetic parameters, $k_1,k_2$ and $k_3$ at $100C$ are given as

$2\mathrm{.}0,5{10}^{-4}{m}^{7\mathrm{.}08}.kmo{l}^{-2\mathrm{.}36}.s^{-1},$ and $0\mathrm{.}4,$ respectively. The

reactor feed is a slurry containing $1kg*m^{-3}$ of $R$ and $20kg*m^{-3}$

of $A.$ The concentration of $S$ is $1\mathrm{.}7kmo{l}_m{m}^{-3}.$ The reactor

conversion is $80\%.$ Determine the reactor size and total

charge weight necessary to produce the product $(R)$ at an

and it will be necessary to shut down for $1h$ between batches

for product removal, cleaning, and startup. The product $($R$)$ to

be recycled to the reactor will come from $1000kg$ produced

daily.The two$-$phase isothermal reaction,

$A+R+SB+RR+R$

is carried out at $100C$ in a batch reactor. Amorphous reactant $A$

and a small amount of crystalline product, $R,$ are dissolved in a

solvent, $C,$ and produce intermediate products $P$ and $Q.$ The rate

equation is given as$,$

$-r_A=\frac{k_2(C_{SO}{)}^{k_1}{C}_A{C}_R}{k_3{C}_R+(k_3+1)C_A}$

where $C_A$ and $C_R$ are the concentrations of solid reactant and

product in $kg.m^{-3},$ and $C_{so}$ is the initial solvent concentration in

kmol.$m^{-3}.$