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.