Analytical Solution for Reaction with Pressure Drop

4 Analytical Solution for Reaction with Pressure Drop 

These graphs compare the concentrations, reaction rates, and conversion profiles for the cases of pressure drop and no pressure drop. We see that when there is pressure drop in the reactor, the reactant concentrations and thus reaction rate for reaction (for reaction orders greater than 0 order) will always be 

Now that we have expressed pressure as a function of catalyst weight [Equation (4-33)]. we can return to the second-order isothermal reaction. 

Stoichiometry. Gas-phase isothermal reaction (r= Tf,) with e = 0. From 

Using Equation (4-33) to substitute for y in terms of the catalyst weight, we obtain 

Integrating with limits = 0 when W = 0 and substituting for f AO Ao o yields 

---