There is only one more thing needed before the problem can be solved : the mass transfer coefficient. Since it is not given in the problem we must look elsewere for an equation that will fit the information given in the problem. On page 535 of "Fundamentals of Momentum, Heat and Mass Transfer"* we find that :

We need a mass tranfer coefficient with respect to catalyst weight. That can be obtainded by dividing k by the catalyst bulk density.

All of the equations and knowns can now be plugged into an ODE solver such as POLYMATH and solved :

* "Fundamentals of Momentum, Heat, and Mass Transfer" by James Welty, Charles    Wicks, and Robert Wilson.  Copyright 1984 by John Wiley & Sons, Inc.

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