Sankaran Ravi and T$.$S$.$ Raghunathan $[$Ind$.$ Eng. Chem. Res., $27,2050,(1988)],$

performed the dehydrogenation of butan $-2--$ol over a zinc oxide catalyst

$AR+S$

$R,S=-$methyl ethyl ketone and hydrogen, respectively

$A=$ butan$-2-$ol

The following experimental data were collected in a differential reactor at $490C.$

a$.)$ Suggest a rate law consistent with the experimental data. Must Justify your

answer.

b$.)$ Suggest a reaction mechanism and rate$-$limiting step consistent with the rate

law.

Hint: prove that the Suggested rate law is:

Simplifies to

$-r_A^{\text{'}}=k\frac{P_A}{(1+K_A{P}_A+K_R{P}_R+K_S{P}_S{)}^{{?}^{{?}^{?}}2}}$ Simplifies to

$-r^{\text{'}}A=k\frac{P_A}{(1+K_A{P}_A{)}^{{?}^{{?}^{?}}2}},$ Why?

c$.)$ Determine the parameters in the rate law.

d$.$ Determine the catalyst weight necessary to achieve $100\%$ conversion for an

entering molar flow of pure $A$ of $10mo\frac{l}{m}in$ at a temperature of $490C$ and

an entering pressure of $10$atm. The pressure drop parameter $=0\mathrm{.}03k{g}^{-1}.$