$,($a$)$ The experimental data on gas$-$phase reaction $AB+C,$ carried out in a solid catalyst particles at a pressure of $5$atm are reported below:

$\backslash$table$[[$P$\_($A$)($atm$),$P$\_($B$)($atm$),$P$\_($C$)($atm$),(-$r$\_($A$)),$kmolA$/$min$.$kg cat.$],[0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}1,0\mathrm{.}4000],[0\mathrm{.}2,0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}2286],[0\mathrm{.}3,0\mathrm{.}2,0\mathrm{.}3,0\mathrm{.}7200],[0\mathrm{.}4,0\mathrm{.}3,0\mathrm{.}3,0\mathrm{.}8000],[0\mathrm{.}5,0\mathrm{.}3,0\mathrm{.}4,0\mathrm{.}8000],[0\mathrm{.}6,0\mathrm{.}5,0\mathrm{.}5,1\mathrm{.}3333],[0\mathrm{.}7,0\mathrm{.}7,0\mathrm{.}6,1\mathrm{.}8667],[0\mathrm{.}8,0\mathrm{.}6,0\mathrm{.}6,1\mathrm{.}6696],[0\mathrm{.}95,0\mathrm{.}9,0\mathrm{.}9,2\mathrm{.}3586],[0\mathrm{.}25,0\mathrm{.}35,0\mathrm{.}7,0\mathrm{.}5385],[0\mathrm{.}45,0\mathrm{.}2,0\mathrm{.}8,0\mathrm{.}4000]]$

Verify if experimental data fit the Langmuir$-$Hinshelwood model equation for the rate

$-r_A=\frac{k{p}_A{p}_B}{1+K_A{p}_A+K_C{p}_C}$

and estimate the parameters, $k,K_A$ and $K_C.$

$($b$)$ Discuss the importance of Thiele modulus and Effectiveness factor in solid catalyzed reactions.The experimental data on gas$-$phase reaction $->+,$ carried out in a solid catalyst particles at a

pressure of $5$ atm are reported below:

PA $($atm$)$ PB $($atm$)$ PC $($atm$)(-$rA$),$ kmol A$/$min$.$kg cat.

$0\mathrm{.}10\mathrm{.}20\mathrm{.}10\mathrm{.}4000$

$0\mathrm{.}20\mathrm{.}10\mathrm{.}20\mathrm{.}2286$

$0\mathrm{.}30\mathrm{.}20\mathrm{.}30\mathrm{.}7200$

$0\mathrm{.}40\mathrm{.}30\mathrm{.}30\mathrm{.}8000$

$0\mathrm{.}50\mathrm{.}30\mathrm{.}40\mathrm{.}8000$

$0\mathrm{.}60\mathrm{.}50\mathrm{.}51\mathrm{.}3333$

$0\mathrm{.}70\mathrm{.}70\mathrm{.}61\mathrm{.}8667$

$0\mathrm{.}80\mathrm{.}60\mathrm{.}61\mathrm{.}6696$

$0\mathrm{.}950\mathrm{.}90\mathrm{.}92\mathrm{.}3586$

$0\mathrm{.}250\mathrm{.}350\mathrm{.}70\mathrm{.}5385$

$0\mathrm{.}450\mathrm{.}20\mathrm{.}80\mathrm{.}4000$

Verify if experimental data fit the Langmuir$-$Hinshelwood model equation for the rate

$=$

$1++$

and estimate the parameters, k$,$ KA and KC$.$

$($b$)$ Discuss the importance of Thiele modulus and Effectiveness factor in solid catalyzed reactions.