Question

For a first order liquid phase reaction occurring in a CSTR, the initial concentration is 10 \(\frac{mol}{m^3} \) and the final concentration is 5 \(\frac{mol}{m^3} \). If the residence time is 100 minutes, then the value of reaction rate is ____

(a) 0.75

(b) 0.33

(c) 0.4

(d) 0.05

This question was addressed to me by my school teacher while I was bunking the class.

The question is from Conversion and Reactor Sizing in division Ideal Reactors for a Single Reaction, Conversion and Reactor Sizing of Chemical Reaction Engineering

Answer 1

The correct option is (b) 0.33

Easiest explanation: For a CSTR, the performance equation is FA0XA = (-rA)V

t = \(\frac{C_{A0}- CA}{(-rA)} \)

rA = \(\frac{10-5}{100} \) = 0.05.