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    Instructors : TS.Mai Thanh Phong

    Evaluation of Reaction Kinetics Constants 1

    1. Nguyn Quc Khng Anh 608000432. L Vn Cng 60800222

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    Evaluation of Reaction Kinetics Constants 2

    INTRODUCTION

    SIMPLE REACTION SYSTEMS

    COMPLEX REACTION SYSTEMS

    NOTE IN REACTION CALORIMETRY WORK

    CONCLUSION

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    INTRODUCTION

    Evaluation of Reaction Kinetics Constants 3

    Reaction kinetics has several applications in

    the field of process optimization:

    - minimize competing reactions

    - favor the desired reaction

    - maximize yield and minimize cycle times

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    INTRODUCTIONInformation about the reaction kinetics of a

    chemical process is vital for both process safety

    and process optimization in the scale-up of batchand semibatch reactions.

    Evaluation of Reaction Kinetics Constants 4

    This papers method is calorimetric reaction

    and from the relationship between the heatoutput rate and the heat evolved, a reaction rate

    constant was obtained

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    SIMPLE REACTION SYSTEMSy The measurement made in a calorimetry

    experiment is related to the rate of reaction as

    expressed in the following equation:

    dQ/dt = 7 (Qi d[R]i) / dt

    - dQ/dt = rate of heat evolution, W/mol

    - Qt = heat evolved at time t, J/mol

    - Qn = heat of reaction of nth reaction of scheme,J/mol

    Evaluation of Reaction Kinetics Constants 5

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    Evaluation of Reaction Kinetics Constants 6

    SIMPLE REACTION SYSTEMSThis method deals with isothermal

    systems.The expressions for the relationship

    between the heat evolution rate and the total

    heat evolved may be illustrated by somecases:

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    y Reaction (3): Ap B k1

    ,Q1A p C k2,Q2

    [B]0, [C]0 = 0

    Rate of reaction = k1[A] + k2[A]

    dQ/dt = k1Q1 + k2Q2(k1 + k2) Qt

    Evaluation of Reaction Kinetics Constants 7

    yReaction (2): Am B

    k1 forward, k2 reverseRate of reaction = (k1[A]) (k2[B])

    dQ/dt = k1Q (k1 + k2)Qt

    SIMPLE REACTION SYSTEMS

    y Reaction (1): Ap B

    Rate of reaction = k[A]

    dQ/dt = kQ kQt

    Reaction (4): A + BpC[A]0 < [B]0Rate of reaction = k[A][B]dQ/dt = kQ[B]0 k([A]0 + [B]0)Qt+ k[A]0Qt2/Q

    y Reaction (5): A + Bm C + D

    k1 forward, k2 reverse

    [A]0 < [B]0; [C]0, [D]0 = 0

    Rate of reaction =k1[A][B] k2[C][D]

    dQ/dt = k1Q [B]0 k1([A]0 + [B]0)Qt+ [A]0Qt2 / Q(k1 k2)

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    Evaluation of Reaction Kinetics Constants 8

    Reaction (6): A + B m C

    k1 forward, k2 reverse[A]0 < [B]0; [C]0 = 0

    Rate of reaction = k1[A][B] - k2[C]

    dQ/dt = k1Q[B]0(k1([A]0 + [B]0)+ k2)Qt + k1[A]0Qt2/Q

    SIMPLE REACTION SYSTEMS

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    SIMPLE REACTION SYSTEMS

    Evaluation of Reaction Kinetics Constants 9

    Examples: Reaction of benzyl chloride with sodium methoxide

    Figure 1: Heat evolution profile of benzyle chloride/sodium methoxide reaction

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    COMPLEX REACTIONSYSTEMS

    It is difficult or impossible to derive an analytical solution

    for the relationship between the heat output rate and the heatevolved

    Evaluation of Reaction Kinetics Constants 10

    For a more complex reaction system, more elaboratetechniques are required to establish a mechanism and to extract

    reaction rate constants

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    The observed data may be compared with those

    predicted by computer simulation of the proposed reactionmechanism using trial values of rate constants.

    Evaluation of Reaction Kinetics Constants 11

    However, a good fit to the experimental data is notconclusive proof of a reaction kinetic model andadditional corroborative evidence is required.

    COMPLEX REACTIONSYSTEMS

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    COMPLEX REACTIONSYSTEMS

    Example 1: the case of a pair of simultaneous reversible reactions:Am BAm C

    Rate of reaction = k1[A] k2[B] + k3[A] k4[C]

    Evaluation of Reaction Kinetics Constants 12

    Figure 2: Heat evolution profile of simultaneous first-order reaction example

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    COMPLEX REACTION

    SYSTEMSExample 2: the case of an autocatalytic reaction:

    Evaluation of Reaction Kinetics Constants 13

    Figure 3: Heat evolution profile of autocatalytic reaction example.

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    COMPLEX REACTIONSYSTEMS

    Example 3: Reaction of acetic anhydride with methanol

    Evaluation of Reaction Kinetics Constants 14

    Figure 4: Heat evolution profile of methanol/acetic anhydride reaction.

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    NOTE IN REACTION CALORIMETRIC WORK

    Experimental noise may also be more noticeablewhen the heat output rate is low, and this may be an

    additional source of error.

    Evaluation of Reaction Kinetics Constants 16

    Calorimetry calibrations need to be done verycarefully to avoid accumulative errors.

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    CONCLUSIONSReaction calorimetry may be used to obtain

    information about the kinetics of the reaction under study.

    One of the significant advantages of using a reactioncalorimeter for reaction kinetics work is the facility forclose control of reaction mixture temperatures.

    With simple reaction systems it is possible to obtainvalues for the reaction kinetic constants.

    Evaluation of Reaction Kinetics Constants 17

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    For more complex systems, although reactioncalorimetry in isolation does give information about the

    kinetics of the chemical process under study, it isnecessary to incorporate additional data to derive reactionkinectic constants.

    Careful experimental technique is required to avoidsome of the errors that may be encountered in this method.

    Evaluation of Reaction Kinetics Constants 18

    CONCLUSIONS

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