Topic: Kinetics of Homogeneous Reactions | Reaction Engineering - Video Lectures

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- Select activity Course Summary
  Course Summary:
  Quick Review of Theory and Solving Representative Problems on Chemical Reaction Engineering covering the undergraduate chemical engineering syllabus, and latest GATE-exam syllabus: Kinetics of Homogeneous Reactions from Batch Reactor, Performance Equations of Ideal Reactors, Combination of Reactors for Single and Multiple Reactions, Temperature Effects, Non-idealities, Heterogenous Reactions, LHHW Models, Pore Diffusion Effects.
  
  Objective Type Questions and Problems with Detailed Solutions (100 nos.) - Video Lectures with Handwritten-Transcripts
  
  Topic-wise Interactive Self-Assessment Quizzes
  
  Questions from Past GATE Exams CH, BT streams, and Standard Textbooks - Levenspiel, etc..
  
  Videos: 15 hours of recorded lectures - 3 hours of Theory; 12 hours of Problem Solving.
  
  This course is part of Chemical Engineering Video Lectures Bundle.
  
  Price of this course in Indian Rupees: 600 (1-month access) / 1500 (6-months access)
  
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- Select activity Levenspiel 3rd Edition - Problems
  
  Levenspiel 3rd Edition - Problems Checklist
  
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  Mark as done

Kinetics of Homogeneous Reactions

Select activity Constant Volume Reactions in Batch Reactor
Constant Volume Reactions in Batch Reactor Page
Levenspiel3E-3-2
Liquid $A$ decomposes in a batch reactor, and 50% of $A$ is converted in a 5-minute run. How much additional time would it take to reach 75% conversion, with:

first order reaction _______ min

second order reaction _______ min

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Select activity Order of Reaction from Conversion Data
Order of Reaction from Conversion Data Page
Levenspiel3E-3-5
In a homogeneous isothermal liquid polymerization, 20% of the monomer disappears in 34 minutes for initial monomer concentration of 0.04 mol/liter and also for 0.8 mol/liter.

What is the order ($n$) of reaction? (Choose from: 0, 0.5, 1, 2)

What is the value of $k$ in mol, liter, min units? _________ $\times 10^{-3} \text{ (mol/liter)$^{1-n}$.min$^{-1}$}$ where $n$ is the order of reaction.

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Select activity Conversion of Half-Order Reaction

Conversion of Half-Order Reaction Page

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Levenspiel3E-3-4
A 10-minute experimental run in a batch reactor shows that 75% of liquid reactant is converted to product by a $1/2$-order rate. What would be the fraction converted in a half-hour run? ___________
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Select activity Rate Expression from Conversion Data
Rate Expression from Conversion Data Page
Levenspiel3E-3-6
After 8 minutes in a batch reactor, reactant ($C_{A0} = 1$ mol/liter) is 80% converted; after 18 minutes, conversion is 90%.

What is the order ($n$) of reaction? (Choose from: 0, 0.5, 1, 2)

What is the value of $k$ in mol, liter, min units. _______ $\text{ (mol/liter)$^{1-n}$.min$^{-1}$}$ where $n$ is the order of reaction.

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Select activity First Order Reversible Reaction
First Order Reversible Reaction Page
Levenspiel3E-3-9
The first-order reversible liquid reaction \[ A \rightleftharpoons R, \qquad \qquad C_{A0} = 0.5 \text{ mol/liter}, \qquad \qquad C_{R0} = 0\] takes place in a batch reactor. After 8 minutes, conversion of $A$ is 33.3% while equilibrium conversion is 66.7%. Find the constants ($k_1 \&\ k_2$ round off to 4 decimal places) of this rate equation given as $-r_A = k_1C_A - k_2C_R$.

$k_1 = $__________ min^-1

$k_2 = $__________ min^-1

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Select activity Time Constant of First Order Reversible Reaction
Time Constant of First Order Reversible Reaction Page
2006-16-cre
A first order reversible reaction $A\xrightleftharpoons [k_2]{k_1} B$ occurs in a batch reactor. The exponential decay of the concentration of $A$ has the time constant

$\dfrac {1}{k_1}$

$\dfrac {1}{k_2}$

$\dfrac {1}{k_1-k_2}$

$\dfrac {1}{k_1+k_2}$

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Select activity Enzymatic Reaction

Enzymatic Reaction Page

Levenspiel3E-3-18
Enzyme $E$ catalyzes the transformation of reactant $A$ to product $R$ as follows: \[ A \stackrel{\text{enzyme}}{\longrightarrow} R, \qquad -r_A = \frac{200C_AC_{E0}}{2+C_A}\frac{\text{mol}}{\text{liter}\cdot\text{min}} \] If we introduce enzyme ($C_{E0} = 0.001$ mol/liter) and reactant ($C_{A0}=10$ mol/liter) into a batch reactor and let the reaction proceed, find the time needed for the concentration of the reactant to drop to 0.025 mol/liter. Note that the concentration of enzyme remains unchanged during the reaction.
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Select activity First Order Variable Volume Reaction

First Order Variable Volume Reaction Page

Levenspiel3E-3-29
Find the first-order rate constant for the disappearance of $A$ in the gas phase reaction $2A \rightarrow R$ if, on holding the pressure constant, the volume of the reaction mixture, starting with 80% $A$, decreases by 20% in 3 min.
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Select activity Rate of Formation or Consumption of Each Components
Rate of Formation or Consumption of Each Components Page
2005-25-cre
For the reaction $2R + S \rightarrow T$, the rates of formation, $r_R$, $r_S$ and $r_T$ of the substances $R$, $S$ and $T$ respectively, are related by

$2  r_R = r_S = r_T$

$2  r_R = r_S = -r_T$

$ r_R = 2  r_S = 2  r_T$

$ r_R = 2  r_S = -2 r_T$

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Select activity Order of Reaction from Rate vs Concentration

Order of Reaction from Rate vs Concentration Page

JEE-Adv-2007
Consider a reaction $aG + bH \rightarrow \text{ Products}$. When concentration of both the reactants $G$ and $H$ is doubled, the rate increases by eight times. However, when concentration of $G$ is doubled keeping the concentration of $H$ fixed, the rate is doubled. The overall order of the reaction is ________ (Choose from: 0, 1, 2, 3)
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Order of Reaction from Half-life Data Page

2000-2-17-cre

The following half-life data are available for the irreversible liquid phase reaction, \[ A \rightarrow \text { Products} \]

Initial concentration (kmol/m³)	Half-life (min)
2	2
8	1

The overall order of the reaction is _____ (choose from: 0.5, 1, 1.5, 2)
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Select activity Inert Content for a Variable Volume Reaction

Inert Content for a Variable Volume Reaction Page

2006-15-cre
An irreversible gas phase reaction $A \rightarrow 5B$ is conducted in an isothermal batch reactor at constant pressure in the presence of an inert. The feed contains no $B$. If the volume of the gas at complete conversion must not exceed three times the initial volume, the minimum mole percent of the inert in the feed must be _______ (choose from: 0, 20, 33, 50)
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Topic outline

General

Kinetics of Homogeneous Reactions