Chemical Engineering - RTD and Mixing Models

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Questions and Answers

What does Residence Time Distribution (RTD) describe?

  • The total amount of product generated in the reactor
  • The temperature distribution within the reactor
  • The speed of reactants entering the reactor
  • The time taken by an element or a reactant within the reactor (correct)

How is micromixing characterized?

  • Complete mixing of different age groups at the molecular level
  • Molecules of the same age group stay together until exit (correct)
  • Complete mixing of all reactants
  • Maximum distribution of residence times without segregation

What does macromixing achieve?

  • Complete segregation of all reactants
  • Constant temperature across the reactor
  • Distribution of residence times without specifying age interactions (correct)
  • Total segregation of molecules by age

Which condition is NOT assumed in the RTD model development?

<p>Variable temperature (B)</p> Signup and view all the answers

What is the basis of the mass balance equation in the RTD model?

<p>Accumulation equals input minus output (C)</p> Signup and view all the answers

What type of flow does a batch reactor commonly utilize according to the content?

<p>Single phase flow (C)</p> Signup and view all the answers

What is the result of integrating the equation related to mean conversion in a reactor?

<p>The overall conversion of the reactants (D)</p> Signup and view all the answers

What characterizes a macrofluid in the context of micromixing?

<p>Molecules of different ages do not mix (C)</p> Signup and view all the answers

What does the equation $$ -rA = kCA $$ represent?

<p>The rate of reaction of a chemical process (A)</p> Signup and view all the answers

In the context of batch reactors, what does the conversion $$ X = (1-e^{-kt}) $$ indicate?

<p>The amount of reactant converted over time (B)</p> Signup and view all the answers

What characterizes the series tank model for reactor residence time distribution (RTD)?

<p>RTD is the sum of individual tank RTD (C)</p> Signup and view all the answers

What can the RTD study help identify in reactors?

<p>The mixing characteristics of the reactor (D)</p> Signup and view all the answers

Which technique is used to analyze RTD for a reactor?

<p>Moment analysis (A)</p> Signup and view all the answers

How is RTD data useful for troubleshooting reactors?

<p>It shows the distribution of residence times (D)</p> Signup and view all the answers

What is the role of RTD in reactor scale-up?

<p>It predicts reactor performance at a larger scale (D)</p> Signup and view all the answers

What does the term residence time refer to in the context of reactors?

<p>The duration for which the reactants stay in the reactor (A)</p> Signup and view all the answers

Flashcards

Residence Time Distribution (RTD)

RTD is the time a reactant spends in a reactor.

Micromixing

Mixing at the molecular level where molecules of different ages interact.

Macromixing

Mixing that doesn't denote how molecules of different ages meet.

Complete Segregation

Condition where molecules of the same age group don't mix with others during travel.

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Complete Micromixing

All molecules are fully mixed at the molecular level as they enter the reactor.

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Macrofluid

Fluid where globules of a given age do not mix with other globules.

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Microfluid

Fluid where molecules can freely move and mix, unrestricted by age.

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Mass Balance Equation

An equation representing the accumulation of reactants in a reactor: Accumulation = Input - Output.

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Rate of Reaction

The rate at which a reactant A is consumed in a reaction, given by -rA = kCA.

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Conversion in Batch Reactor

The measurement of how much of reactant A has been transformed into product, calculated as X = (1-e^{-kt}).

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Series Tank Model

A model representing a reactor as a series of ideal tanks, used to analyze the RTD of the system.

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Moment Analysis

A technique used to analyze the moments of the RTD for insights on reactor mixing characteristics.

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Reactor Design Optimization

Using RTD data to improve reactor design for enhanced performance and efficiency.

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Tracers in RTD Measurement

Non-reactive substances used to study residence time by monitoring concentration at the outlet.

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Study Notes

RTD (Residence Time Distribution)

  • RTD describes the time it takes for a reactant to reside inside the reactor
  • RTD is not a complete description of a particular reactor
  • RTD is unique for a reactor
  • RTD alone is insufficient to study the reactor performance (or degree of segregation)
  • Mixing degree also needs to be considered with RTD

Micromixing and Macromixing

  • Micromixing: How molecules of different ages encounter each other inside the reactor
    • Molecules of the same age group travel together through the reactor
    • Molecules are completely mixed at the molecular level as soon as they enter the reactor, signifying complete micromixing
  • Macromixing: A fluid in which molecules are not confined to remain in the globules; they move everywhere
    • Molecules of different ages do not mix with other globules
    • Called a macrofluid

Models of Mixing

  • Macro Fluid: The globules of a fluid do not mix with other globules. This is called a macrofluid.
  • Micro Fluid: Molecules are not confined to remain in the globules; they are free to move everywhere. This is called a microfluid.

RTD + Model + Kinetic Data for Exit Conversion and Concentration

  • Mean Conversion of globules spending time between t and t+dt in the reactor = X(t) E(t) dt
  • Exit Conversion = ∫0∞ X(t) E(t) dt

Batch Reactor (First Order)

  • Accumulation = disappearance → dNA/dt = -rA V
  • Sub in: -d(NA(1-X)) / dt = rA V
  • For first order
  • dNAO (1-X)/dt = (kCA) V

Tanks in Series Model (One Parameter Model)

  • RTD is analyzed from tracer pulse injection in the first tank. The tracer is then distributed to one or more reactors.

Material Balance (First Reactor)

  • Accumulation = input - output
  • V dC/dt = F Cin - F Cout

Material Balance (Second Reactor)

  • Accumulation = input - output + Formation → VdC/dt = F Cin - FCout + r V
  • V dC2/dt = V C1 - V C2) / t1
  • For solving differential equations, use integrating factor approach.

Additional Relationships

  • Various mathematical expressions are derived relating concentrations, time, and reaction rate constants for reactions in different reaction systems.

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