We start with the catalyst design equation derived in the Type 1 Home Problem solution :

Dividing both sides by the catalyst bulk density gives the conversion with respect to volume:

Volume is the cross sectional area times the length:

Taking the derivative of the volume gives:

In our case the cross sectional area of the reactor stays constant. This reduces the previous equation to

The rest of the equations needed are the same as in the Type 1 Home Problem solution.

Back to problem statement Part 2 of solution