Quick Recap

The class covers the design of ideal reactors, focusing on various types including batch, flow, and combined reactors, with detailed discussions on material balances and reaction kinetics. The professor provides step-by-step calculations for different reactor configurations, including CSTRs/MFRS, and PFRs, emphasizing the importance of understanding both simple and complex reaction scenarios. The course concludes with an exploration of reactor combinations and recycling systems, comparing their performance and efficiency for different reaction orders and configurations.

Next Steps

  • Students: Review the problem list posted in the course page for design of ideal reactors
  • Students: Spend adequate time studying the material, especially for liquid phase reactions and reactor performance equations
  • Students: Study the Levenspiel plot for reactor design calculations
  • Students: Practice solving problems involving Mixed Flow Reactors as they are relatively simpler compared to other reactor types
  • Students: Prepare for next class which will cover multiple reactions.

SUMMARY

Reactor Design and Kinetics

The class covers design of ideal reactors, focusing on single reactions in various reactor types including single, recycled, and combined reactors. Professor Subbu explains that batch reactors are used for kinetics studies and small-scale production, while flow reactors are suitable for large-scale operations. The class then begins solving a problem involving an enzymatic reaction in a batch reactor, where they need to calculate the time required for 50% conversion given initial concentration and kinetic data. The professor emphasizes the importance of material balance in reactor calculations.

Batch and Plug Flow Reactor Analysis

MSubbu explains the material balance equation for a batch reactor with constant volume, focusing on the integration process to find reaction time based on conversion data. He then transitions to discussing plug flow reactors (PFR) with variable volume, emphasizing the importance of integration in these cases. MSubbu derives the performance equation for a steady-flow reactor, accounting for variable volume due to molar changes. He concludes by presenting the design equation for the reactor, expressing it in terms of residence time and initial concentration.

Chemical Reactor Design Fundamentals

The discussion focuses on chemical reactor design, specifically for continuous stirred-tank reactors (CSTR) and plug flow reactors (PFR). MSubbu explains the derivation of performance equations for variable volume reactions in PFRs, including the concept of volume expansivity factor. He then transitions to discussing CSTRs, noting that calculations for these are simpler due to uniform concentration throughout the reactor. The conversation concludes with the introduction of a second-order liquid phase reaction problem in a CSTR, providing details on reaction kinetics, inlet concentration, and volumetric flow rate.

Reactor Design Calculations Overview

The discussion focuses on solving reactor design problems for mixed flow reactors (MFR) and plug flow reactors (PFR). For MFR, the professor explains that calculations are simpler, involving basic multiplication and division to find the reactor volume. For PFR, the discussion covers a more complex second-order bimolecular reaction. The professor derives equations for reactor performance, explaining how to express concentrations in terms of conversion and how to handle reactions with different inlet concentrations of reactants. The importance of understanding these equations for exam situations is emphasized.

Partial Fraction Expansion in Chemical Calculations

MSubbu explains the process of partial fraction expansion for complex expressions in chemical reaction calculations. He notes that while this method is too time-consuming for exams like GATE, it's important for understanding the problem. MSubbu demonstrates how to split terms into groups, integrate, and solve for volume and concentration. He points out that calculations using concentration terms are often simpler than those using conversion terms, especially for liquid phase reactions. MSubbu advises students to practice these lengthy integrations, even though they may not appear in exams, to better understand the concepts.

Zero-Order Reaction in Reactors

MSubbu discusses the conversion of a zero-order reaction in a CSTR and explains how to calculate the reactor volume using a Levenspiel plot. He notes that for a zero-order reaction, the type of reactor doesn't affect the performance equation. MSubbu then introduces a problem involving the calculation of reactor volumes for PFR and MFR using a rate versus conversion plot. He explains how to interpret the Levenspiel plot and use it to determine the reactor volume by calculating the area under the curve for a given conversion.

Reactor Performance Comparison Analysis

The discussion focuses on comparing the performance of different reactor types, specifically Mixed Flow Reactors (MFR) and Plug Flow Reactors (PFR). MSubbu explains that the performance of these reactors depends on the rate expression, and in some cases, MFR can perform better than PFR. The conversation then shifts to calculating reactor volumes for various configurations, including a recycled reactor with and without a separator. MSubbu emphasizes the importance of working with concentration terms when possible and explains how to solve for inlet concentrations using material balance equations.

Recycle With Separation Improves Conversion

MSubbu discusses the performance of recycled reactors compared to plug flow reactors (PFR). He explains that without separation, recycling reduces conversion because it dilutes the feed concentration. However, when separation is added to the recycle process, it improves conversion beyond that of a simple PFR. MSubbu presents calculations showing that the concentration of unconverted reactant leaving the system is lower with separation and recycle (0.394) compared to without separation (0.72). He concludes that recycle with separation is generally beneficial, except in cases of autocatalytic reactions where simple recycling can be advantageous.

Reactor Combinations for Second-Order Reactions

MSubbu discusses reactor combinations, focusing on mixed flow reactors (MFR) and plug flow reactors (PFR) in series for second-order reactions. He explains how to solve problems involving these reactor types, emphasizing the importance of using concentration terms and the relationship between conversion and concentration. MSubbu also compares the performance of different reactor arrangements, noting that for second-order reactions, a PFR followed by an MFR is generally more efficient. He concludes by mentioning that the next class will cover multiple reactions, focusing on simple liquid phase reactions.

Last modified: Wednesday, 23 July 2025, 11:35 AM