PLEASE SOLVE THIS PROBLEM WITHOUT AI AND NUMERICALY TO RECIEVE THUMBS UP:

What conversion can be achieved in a moving$-$bed reactor for the catalytic

deactivation of Species A

Reaction:

$2A,B+C$

The decay rate is $\frac{3}{2}-$order

$-d\frac{a}{d}t=k_d**a^{1\mathrm{.}5}$

and the rate law is

$-r_A^{\text{'}}=k_A**P_A^{2**}**a.$

Available data:

$T(t)=T(t=0)=800K$

$R=0\mathrm{.}0821$

$k_A=40$gmo$\frac{l}{hr*kg-\text{c}\text{a}\text{t}*at{m}^2}$

$k_d=\frac{3\mathrm{.}2}{h}r$

$W=100Kg$

$Us=$ catalyst feed rate $=4K\frac{g}{h}r$

$P_{A0}=$ pure A fed $to$ the reactor $at$ a pressure $of2$atm

$F_{A0}=1200mo\frac{l}{h}r$