ChE 324: Kinetics Chapter 6 Quiz

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Questions and Answers

What is the primary strategy to maximize the production of product D?

  • Increase the concentration of A significantly
  • Use a batch reactor efficiently
  • Utilize a PFR/PBR and select appropriate spacetime (correct)
  • Use a CSTRs in series (correct)

In the reaction involving A, B, and C, what is the net reaction rate for species B?

  • -rB = k1CA + k2CB
  • -rB = k2CB
  • rB,net = k1CA - k2CB (correct)
  • rB,net = k2CA - k1CB

How does the concentration of A depend on spacetime Ï„ in a PFR?

  • CA = k1C0e^(-Ï„)
  • CA = CA0e^(-k1Ï„) (correct)
  • CA = CA0(1 - e^(-k1Ï„))
  • dFA/dV = k1C0e^(-k1Ï„)

What must be determined to quench the reaction when the concentration of B is at its maximum?

<p>The time (or spacetime) necessary for the reaction (B)</p> Signup and view all the answers

What is the effect of k1 on the concentration of A as described in the equations?

<p>Higher k1 decreases the concentration of A faster (A)</p> Signup and view all the answers

What characterizes parallel or competing reactions?

<p>Multiple reactions use the same limiting reactant. (C)</p> Signup and view all the answers

Why can't conversions be used in the analysis of multiple reactions?

<p>Each reaction may have its own limiting reactant. (B)</p> Signup and view all the answers

Which of the following best describes series reactions?

<p>A reaction depends on the completion of the previous reaction. (C)</p> Signup and view all the answers

What is an essential factor to consider when selecting a reactor for multiple reactions?

<p>Concentration requirements of each reaction. (C)</p> Signup and view all the answers

What type of reaction involves more than one reactant yielding a complex product?

<p>Complex reactions (A)</p> Signup and view all the answers

In independent reactions, how are the reactants characterized?

<p>They can occur in parallel without influencing one another. (B)</p> Signup and view all the answers

Which of these is NOT a characteristic of multiple reactions?

<p>Shared kinetics for all reactions. (D)</p> Signup and view all the answers

What is the role of a limiting reactant in a series reaction?

<p>It defines the maximum yield of all products. (C)</p> Signup and view all the answers

What is the rate expression for the disappearance of A in the reactor?

<p>$-r_A = k_B + k_C C_A$ (A)</p> Signup and view all the answers

If the initial concentration of A ($C_{A0}$) is 4 mol/L, what is the concentration of A when XA = 0.9?

<p>0.4 mol/L (B)</p> Signup and view all the answers

What is the value of the residence time ($ au$) when XA = 0.9?

<p>0.92 min (A)</p> Signup and view all the answers

Which reaction condition leads to a higher yield of B?

<p>Higher residence time (A)</p> Signup and view all the answers

What factor is emphasized as key in the context of series reactions?

<p>Time (D)</p> Signup and view all the answers

In calculating the mole balance on A, which equation is utilized?

<p>$ rac{dC_A}{d au} = -r_A$ (B)</p> Signup and view all the answers

At a concentration of C_A = 0.4 mol/L, what is the yield of B?

<p>$0.51$ (C)</p> Signup and view all the answers

How does the yield of B in the CSTR compare to other reactors?

<p>It is better but has a longer residence time. (C)</p> Signup and view all the answers

What is the expression for the overall yield of B in a PFR?

<p>$ ilde{Y}<em>B = rac{C_B}{C</em>{A0} - C_A}$ (A)</p> Signup and view all the answers

When integrating the mass balance for B, what value does dV correspond to in terms of dτ?

<p>$dV = r_B imes d au$ (B)</p> Signup and view all the answers

In the context of a CSTR, what is the relationship between the yield of B and the conversion of A at 90%?

<p>Yield of B approaches a maximum as the conversion of A nears 100%. (A)</p> Signup and view all the answers

What is the initial concentration of A given in the reactions?

<p>$4 ext{ mol/L}$ (B)</p> Signup and view all the answers

At 90% conversion of A, what is the expected concentration of B produced in a PFR?

<p>$3.6 ext{ mol/L}$ (B)</p> Signup and view all the answers

How is the rate of formation of B represented mathematically?

<p>$r_B = k_B C_A^2$ (A)</p> Signup and view all the answers

What factor affects the yield of B when using a CSTR compared to a PFR?

<p>Residence time in the reactor (C)</p> Signup and view all the answers

Which of the following equations correctly represents the rate of change of A in terms of its concentration?

<p>$- rac{dC_A}{d au} = 2k_B + k_C$ (B)</p> Signup and view all the answers

What does the expression $dCB/d\tau$ represent in the context of the equation?

<p>The rate of change of concentration of C with respect to time (A)</p> Signup and view all the answers

Under what condition does the optimal reactor volume $V_{opt}$ occur?

<p>When $dCB/dt = 0$ (D)</p> Signup and view all the answers

Which components of the system influence the expression for $dCB/d\tau$?

<p>Both reaction rates $k_1$, $k_2$ and initial concentration $CA0$ (D)</p> Signup and view all the answers

What relationship does $\tau_{opt} = \frac{1}{k_1 - k_2} \ln \frac{k_2}{k_1}$ suggest about the reaction rates?

<p>Increasing $k_1$ decreases the optimal time. (C)</p> Signup and view all the answers

What does the equation $CB = \frac{k_1 CA0}{k_2 - k_1} (e^{-k_1 \tau} - e^{-k_2 \tau})$ define?

<p>The concentration of C at any time (A)</p> Signup and view all the answers

In the expression $V_{opt} = \tau_{opt} \cdot \upsilon_0$, what does $\upsilon_0$ represent?

<p>The flow rate of the reactants (B)</p> Signup and view all the answers

Which condition results in the maximum concentration of B according to the equations provided?

<p>When reaction rates are equal (D)</p> Signup and view all the answers

What mathematical method is applicable for solving $dCB$ in terms of $d\tau$?

<p>Using an integrating factor (B)</p> Signup and view all the answers

How is the concentration of reactant A represented in the context of reaction equations?

<p>CA = CA0 - CB (B)</p> Signup and view all the answers

What is the expression for the yield of B in a Continuous Stirred Tank Reactor (CSTR)?

<p>$\tilde{Y}_B = \frac{FB}{CA0 - CA}$ (D)</p> Signup and view all the answers

At 90% conversion of A, what is required to determine the concentration of B (CB) in a CSTR?

<p>Mole balance on A (C)</p> Signup and view all the answers

How is the rate of formation of B (rB) expressed in terms of concentration and time?

<p>rB = $\frac{CB}{Ï„}$ (D)</p> Signup and view all the answers

What is the relationship between the input and output flow rates for component A in a steady-state process?

<p>Input minus output equals generation rate (A)</p> Signup and view all the answers

If the initial concentration of A (CA0) is 4 mol/L and the conversion of A is 90%, what is the remaining concentration of A (CA)?

<p>0.6 mol/L (C)</p> Signup and view all the answers

Which factor does not play a role in the calculation of yield (YB) in a CSTR?

<p>Temperature of the surroundings (D)</p> Signup and view all the answers

What represents the conversion of A at which the mole balance on A is evaluated?

<p>XA = 0.9 (D)</p> Signup and view all the answers

In the context of a PFR, how does the yield of B change with higher conversion rates of A?

<p>It increases proportionally (B)</p> Signup and view all the answers

Flashcards

Multiple reactions

Multiple reactions refer to situations where more than one chemical reaction occurs simultaneously.

Parallel or competing reactions

Reactions that happen at the same time and compete for the same reactants.

Series reactions

Reactions where the product of one reaction becomes the reactant for the next.

Independent reactions

Reactions that occur independently of each other without affecting one another.

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Complex reactions

Complex reactions involve multiple reactions happening simultaneously, with some reactions influencing the rate of others.

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Concentration requirements

The concentration of reactants is crucial in determining the rates of each reaction and influencing which product is favored.

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Reactor selection

Reactor selection depends on the desired concentrations of reactants and products, as well as the specific characteristics of the involved reactions.

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Desired product

The desired product influences the reactor selection, as different reactors can enhance the formation of specific products.

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Yield

The ratio of the moles of product formed to the moles of reactant consumed.

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CSTR (Continuous Stirred Tank Reactor)

A type of reactor where the reactants and products are continuously mixed, resulting in a uniform concentration throughout the reactor.

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PFR (Plug Flow Reactor)

A type of reactor where the reactants flow through a long tube, allowing for gradual changes in concentration along the length.

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Space Time (Ï„)

The time it takes for a volume of fluid to pass through a reactor.

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Rate of Reaction (-rA)

The rate at which a reactant is consumed in a chemical reaction.

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Conversion (XA)

The fraction of the initial reactant that has been converted to product.

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Mole Balance (In - Out + Gen = Accum)

The equation describing the relationship between the rate of reaction, the space time, conversion, and initial concentration.

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Overall Yield

A measure of the efficiency of the reactor in terms of the amount of product formed per unit of reactant consumed.

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What is overall yield?

The overall yield represents the fraction of the initial amount of reactant A that is converted into the desired product B.

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How to calculate yield of B?

The yield of B is the fraction of the initial amount of A that is converted into B, calculated by dividing the moles of B produced by the moles of A fed.

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What does the mass balance equation tell us?

The mass balance equation relates the change in the moles of B in the reactor to the rate of formation of B.

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How to integrate mass balance for CB?

The integral of the mass balance equation gives us the concentration of B at any given time in the reactor.

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What does the mole balance equation tell us?

The mole balance equation relates the change in the moles of A in the reactor to the rate of consumption of A.

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How to integrate mole balance for tau?

The integral of the mole balance equation gives us the time it takes to achieve a certain conversion of A.

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What's a CSTR?

A CSTR (Continuous Stirred Tank Reactor) is a reactor where the contents are perfectly mixed, ensuring a uniform concentration throughout.

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What's a PFR?

A PFR (Plug Flow Reactor) is a reactor where the flow is unidirectional and there is no mixing, so the concentration changes along the reactor length.

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Residence time

The time it takes for a reactant to pass through a reactor.

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Rate of reaction

The rate of formation of a product or the rate of disappearance of a reactant.

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Product concentration

The ratio of the concentration of a product to the initial concentration of the limiting reactant.

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Target product concentration

The desired concentration of the product at the outlet of the reactor.

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Continuous stirred tank reactor (CSTR)

A type of reactor where reactants are continuously fed and products are continuously withdrawn.

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Time constant

The time required for the concentration of a reactant to decrease to a specific value.

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Plug Flow Reactor (PFR)

A type of reactor where reactants flow through a long tube, resulting in gradual concentration changes.

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What is a series reaction?

A series reaction is a type of chemical reaction where the product of one reaction becomes the reactant of the next reaction.

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What is the maximum concentration of intermediate (B) in a series reaction?

The concentration of the intermediate product (B) in a series reaction can reach a maximum value due to the dynamic balance between its formation and consumption rates.

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What is the optimal space time in a series reaction?

The optimal space time (Ï„opt) is the time required to maximize the concentration of the desired product (B) in a series reaction.

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Explain space time (Ï„) in reactor design.

Space time (Ï„) is the time it takes for a volume of fluid to pass through a reactor.

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What is the optimal reactor volume (Vopt)?

The optimal volume (Vopt) is the reactor volume that maximizes the production of the desired product (B) by using the optimal space time (Ï„opt).

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What is the conversion (XA) in a chemical reaction?

The conversion (XA) is the fraction of the initial reactant (A) that has been converted to products.

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Describe the overall yield in reactor design.

The overall yield is a measure of the efficiency of the reactor in terms of the amount of product formed per unit of reactant consumed.

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Explain the rate of reaction (-rA) in chemical kinetics.

Rate of reaction (-rA) is the expression describing the rate at which a reactant is consumed in a chemical reaction.

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What is a CSTR (Continuous Stirred Tank Reactor)?

A continuous stirred tank reactor (CSTR) is a type of reactor where the reactants and products are continuously mixed, resulting in a uniform concentration throughout the reactor.

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What is a PFR (Plug Flow Reactor)?

A plug flow reactor (PFR) is a type of reactor where the reactants flow through a long tube, allowing for gradual changes in concentration along the length.

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Study Notes

Chapter 6: Multiple Reactions

  • This chapter, part of the ChE 324: Kinetics and Reactor Design (A) course, focuses on multiple reactions.
  • Multiple reactions occur simultaneously, influencing each other and the products formed.
  • Multiple reactions analysis is similar to single reactions, but conversion (X) cannot be used directly.

Reasons for Not Using Conversion (X)

  • Multiple reactions often have more than one limiting reactant, unlike single reactions.
  • Conversion is defined relative to the limiting reactant for a particular reaction. Thus, a reactant limiting in one reaction may not limit another.
  • Multiple reactions imply more than one conversion value.

Classification of Multiple Reactions

  • Parallel (competing): Reactions occur simultaneously, competing for reactants. Examples include parallel or competing reactions.
  • Series: Reactions occur sequentially, one after another, with the product of one reaction being the reactant for the next. Examples include series reactions.
  • Independent/Complex: Reactions aren't directly related. Examples include independent/complex reactions. These include crude oil cracking and complex reactions.

Concentration Requirements and Reactor Selection

  • Plug Flow Reactor (PFR): Reactant concentration is high initially and decreases progressively towards the outlet.
  • Continuous Stirred Tank Reactor (CSTR): Reactant concentration is consistently low at the reactor outlet.
  • Semi-batch: Concentration of one reactant is high initially and decreases progressively. The concentration of the other reactants remains consistent.

Review: Multiple Reactions & Selectivity

  • Selectivity (SD/U): The ratio of the rate of formation of the desired product (D) to the rate of formation of the undesired product (U.)

    • Instantaneous selectivity, SD/U
    • Overall selectivity, SD/U
  • Yield (YD): The ratio of the moles of the desired product to the moles of the reactant at a specific operating time or point.

    • Instantaneous yield (YD)
    • Overall yield (YD)
  • Goal: Maximize selectivity and yield to enhance desired product formation.

Additional Topics

  • More complex calculations for determining yields in various reactor types (CSTR, PFR).
  • Detailed analysis of consecutive reactions.
  • Optimizing reactor design parameters for maximum desired product formation in series reactions.

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