Starting with this equation: |
(1) |
we begin by multiplying the top and bottom of the left-hand side of equation (1) by the same combination of constants (which is equivalent to multiplying equation (1) by one): |
Since the product of is constant, we can take it inside the derivative in the denominator to combine it with our length (z): |
We'll convert from reactor length (z) as our dimension to catalyst weight (W) by making use of the equation for catalyst weight: |
where: |
Then: |
With a little rearranging: |
which we substitute into equation (1) to get: |