Problem 1: PFR reactor mole balance equation
Starting with the PFR mole balance equation, determine the reactor volume required to reach 80% conversion of A for the reaction AB + C, if the reaction rate equation is ra = -k * C^2. The inlet feed rate Fao = 10 g mole/hour, the rate constant k = 0.15 liter/g mole-hour, and the concentration of A in the feed is Co = 2.0 g moles/L. To solve this problem, you will need to integrate a differential equation.