Type 4 Home Problem
Problems that are under-specified and require the student to consult other information sources.

PART 1 - Type 4 Solution

Our first task is to compile our simultaneous equations that will be used in Polymath. The membrane reactor functions like a PFR, so we start with the PFR design equation.

Derive Equation

We then make differential equations for each of our products:

R_B is the rate of hydrogen (B) removal through the membrane. It is directly proportional to the concentration of B (C_B):

Next we insert our rate law:

The concentration is the molar flow rate divided by the volumetric flow rate. They are written as follows:

We also need to solve for the volumetric flow rate (v):

We can calculate the initial volumetric flow rate (v_o):

At this point, we still have two unknowns, the equilibrium constant (K_C) and the diffusion rate constant (k_B). We will need to determine these constants before the problem can be solved. Solving for these constants will require us to use resources beyond our text book.

Go to PART 2 of the Solution

Back to Homogeneous Example 4

CRE Thoughts Ten Types Homogeneous Example 4