Problem

When the impurity cumene hydroperoxide is present in trace amounts in a cumene feed stream...

When the impurity cumene hydroperoxide is present in trace amounts in a cumene feed stream, it can deactivate the silica-alumina catalyst over which cumene is being cracked to form benzene and propylene. The follovving data were taken at 1 atm and 420°C in a differential reactor. The feed consists of cumene and a trace (0.08 mol %) of cumene hydroperoxide (CHP).

Benzene in Eril

Stream (mol %)

2  1.62 1.31  1.06 0.85 0.56 0.37 0.24

t (s)

0  50  100 150  200  300  400  500

(a) Determine the order of decay and the decay constant.

(b) As a first approximation (actually a rather good one), we shall neglect the denominator of the catalytic rate lavv and consider the reaction to be first order in cumene. Given that the specific reaction rate vvith respect to cumene is k = 3.8 × 103 mol/kg fresh cat •s atm, the molar flovv rate of cumene (99.92% cumene, 0.08% CHP) is 200 mol/min, the entering concentration is 0.06 kmol/m3, the catalyst weight is 100 kg, the velocity of solids is 1.0 kg/min, what conversion of cumene vvill be achieved in a moving-bed reactor!

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