Question: One interesting membrane reactor uses a homogeneous catalyst that cannot pass through an ultrafiltration membrane. Reagents flow continuously toward the membrane, but the catalyst is

One interesting membrane reactor uses a homogeneous catalyst that cannot pass through an ultrafiltration membrane. Reagents flow continuously toward the membrane, but the catalyst is injected only at the start of the experiment. It forms the Concentration profile shown above. If the catalyst injected per membrane area is

\frac{M}{A},

find the concentration profile of the catalyst.

One interesting membrane reactor uses a homogeneous catalyst that cannot pass

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