The GATE Grind

GATE 2024 ES – Question 39

Water and Wastewater Treatment and Management · Kinetics and Reactor Design · 2 marks · Multiple choice

For steady second-order decay $r_C=-kC^2$,find CSTR/PFR volume ratio for 90% concentration removal, with equal inlet concentration and flow.

  1. 10.0
  2. 1.0
  3. 0.1
  4. 2.3

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (A) 10.0

Explanation

Let outlet concentration be $.1C_0$. A CSTR requires $V_C=Q(C_0-C)/(kC^2)=90Q/(kC_0)$. A PFR requires $V_P=(Q/k)(1/C-1/C_0)=9Q/(kC_0)$. Their ratio is 90/9=**10,A**. Lower concentration throughout the mixed reactor reduces its second-order reaction rate.

More Kinetics and Reactor Design questions

All Kinetics and Reactor Design questions →