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t-Butyl alcohol (TBA) is an important octane enhancer that is used to replace lead additives in gasoline. TBA was produced by the liquid-phase hydration (W - water) of isobutene (I) over an Amberlyst-15 catalyst.

Assume the reaction proceeds as follows

image text in transcribed

Where Sv represents vacant sites on the surface of the catalyst. The surface reaction (step 2) is rate- limiting. The adsorption of isobutene and TBA comply with the 2 component Langmuir equation. Adsorption equilibrium is assumed.

Derive a rate law for TBA production in the absence of diffusion limitations as a function of , and in solution.

(1)1+S, 1.5 K,99 ka KP (2) W +1.5 TBAS (3) TBA.S TBA + 5, (equilibrium) 499 TBA

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