Question

The performance equation of a PFR is ____

(a) \(\frac{F_{A_0}}{dV} = \frac{dX_A}{(-r_A)} \)

(b) \(\frac{dV}{F_{A_0}} = \frac{(-r_A)}{dX_A} \)

(c) \(\frac{F_{A_0}}{dV} = \frac{(-r_A)}{dX_A} \)

(d) \(\frac{F_{A_0}}{dX_A} = \frac{(-r_A)}{dV} \)

This question was addressed to me in exam.

Query is from Kinetics of Homogeneous Reactions topic in section Kinetics of Homogeneous Reactions of Chemical Reaction Engineering

Answer 1

Correct answer is (c) \(\frac{F_{A_0}}{dV} = \frac{(-r_A)}{dX_A} \)

Easiest explanation: FA0dXA = (-rA)dV

The reaction is integrated in the entire volume of reactor. The material balance is carried out in a small differential volume dV.