Question

The differential form of the plug flow reactor design equation is ______

(a) FA0\(\frac{dX}{dV}\) = -rA

(b) \(\frac{dX}{dV}\) = -rA

(c) V\(\frac{dX}{dV}\) = -rA

(d) \(\frac{dX}{dV}\) = -rA FA0

The question was posed to me in an online interview.

My question is taken from Design Equations for Flow Reactors in section Ideal Reactors for a Single Reaction, Conversion and Reactor Sizing of Chemical Reaction Engineering

Answer 1

Right option is (a) FA0\(\frac{dX}{dV}\) = -rA

For explanation: Molar flowrate and conversion are related in the mole balance equation to get the above equation.