Propylene oxidation

Propylene oxidation to acetone is believed to proceed via the following elementary

steps.

O $2+2$ S $2$ O$$S with rate constants k $1,$ k $-1$

C$3$H $6+$ O$$S $$ C$3$H $6$O$$S with rate constants k $2,$ k $-2$

C$3$H $6$O$$S $->$ C$3$H $6$O $+$ S with rate constant k $3$

a$.$ Find the overall rate expression if step $1$ is QE$.$

b$.$ Find the overall rate expression if step $1$ and step $2$ are QE$.$

c$.$ Write the apparent rate constant $($k app $)$ and the apparent activation energy $($Eapp $)$

for the mechanism in part b if O$$S is the MASI.