P10-3A t-Butyl alcohol (TBA) is an important octane enhancer that is used to replace lead additives in gasoline (Ind. Eng. Chem. Res., 27. 2224 (1988)]. TBA was produced by the liquid-phase hydration (W) of isobutene (I) over an Amberlyst-15 catalyst. The system is normally a multiphase mixture of hydrocarbon, water, and solid catalysts. However, the use of cosolvents or excess TBA can achieve reasonable miscibility. The reaction mechanism is believed to be I+S IS W+ SW.S W. S+I.STBAS+S TBA STBA + S (PIO-3.1) (P10-3.2) (P10-3.3) (P10-3.4) Derive a rate law assuming: (a) The surface reaction is rate-limiting. (b) The adsorption of isobutene is limiting, (e) The reaction follows Eley-Rideal kinetics IS + W TBAS (P10-3.5) and the surface reaction is limiting. (d) Isobutene (I) and water (W) are adsorbed on different sites. I+S, ALS, W+SW.S (P10-3.6) (P10-3.7) (d) Isobutene (1) and water (W) are adsorbed on different sites. I+S, 21.S (P10-3.6) W+ SWS (P10-3.7) TBA is not on the surface, and the surface reaction is rate-limiting. *[GCw-CAK] Ans: Phot+=(+KwCw)(1+K_C1)] [ant : (e) What generalization can you make by comparing the rate laws derived in parts (a) through (d)