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 > < i * s
w + s > < w * s
w * s + i * s > < tba * s + s
tba * s > < tba + s

1. derive a rate law assuming:
a) the surface reaction is rate - limiting
b) the adsorption of isobutene is limiting.

explanation:

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.