The oxidation of carbon monoxide on palladium single crystals at low pressures and temperatures between 450 to 550 K follows an experimental rate law that is first order in O2 and inverse first order in CO. The following mechanism is proposed: 1) CO + S  CO•S (quasi-equilibrated adsorption) 2) O2 + S → O2•S (irreversible adsorption) 3) O2•S + S → 2 (O•S) (surface reaction) 4) CO•S + O•S → CO2 + 2S (surface reaction/desorption) Overall Reaction: 2CO + O2 → 2CO2 a. Assume the rate determining step is step 2, what is the reaction rate law? b. Apply the quasi-equilibrium PSSA to step 1. c. Perform a surface site balance. Assume CO•S is the most abundant reaction intermediate, where CO•S >> O•S and CO•S >> O2•S. Using this assumption, simplify the surface site balance. d. Using parts a-c, derive the reaction rate law for the proposed mechanism in terms of total surface sites, [S]tot, [O2], [CO], and reaction rate constants. e. Does the derived rate law follow the experimental rate law with respect to CO? with respect to O2? f. Simplify the rate law for high surface coverage. Does the simplified rate law follow the experimental rate law with respect to CO? with respect to O2?