matriculation chemistry reaction kinetics part 1.pdf

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  • 8/12/2019 Matriculation Chemistry Reaction Kinetics part 1.pdf

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    Objectives:

    1. Define reaction rate, average rate,

    instantaneous rate and initial rate.2. Determine the reaction rate based on a

    differential equation.

    11.0 REACT!" #"ETC$

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    Chemical kinetics is the stud% of the rates of

    chemical reactions, the factors that affect theserates, and the reaction mechanisms b% &hich

    reactions occur.

    'Time'!(timum %ield'!(timum conditions

    control over reaction,

    obtain (roducts economicall%,

    using o(timum conditions

    m(ortant

    industrial (rocess

    REACT!" #"ETC$

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    rate )d*+

    dt d*+ ) change in concentration of +

    +ecause *A decreases &ith time, d*A is negative.

    rate ) d*A ) change in concentration of A

    E-am(le A B

    Rate of reaction

    /Reaction rateis the change in the concentrationof a reactant or a (roduct &ith time.

    /nit of rate mol '1 s'13/rate

    dt ) (eriod of time

    Time

    1

    d*A

    dt'

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    A +

    time

    rate ) ' d*A

    dt

    rate )d*+

    dt *A 4

    *+ 5

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    / The average rateis the rate over a (eriod of time.

    / The rate of reaction at a given time is called an

    instantaneous rate of reaction./ The instantaneous rate at the beginning of a

    reaction is called theinitial rate of reaction.

    / nstantaneous rate is determined from a gra(h of

    concentration vs time b% dra&ing a line tangent tothe curve at that (articular time.

    Rate of reaction

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    Reaction6

    72!2(aq)72!(l)8 9 !2(g)

    Reaction rates are obtained

    from the slo(es of the straight

    lines

    An average ratefrom the

    (ur(leline.

    The instantaneous rateatt ):00 s from the redline.

    The initial ratefrom the blue

    line.

    Rate of reaction

    blue red

    (ur(le

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    instantaneous rate= rate at a specific time

    +r2aq38 7C!!7 aq3 2+r'aq38 278aq38 C!2g3

    average rate) 'd*Br2

    dt) '

    *+r2final ; *+r2initial

    tfinal ' tinitial

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    The differential rate equation

    Rate )dt

    d[D]d1

    dtd[C]

    c1

    dt]d[B

    b1

    dtd[A]

    a1

    ===

    Consider the reaction, aA 8 b+ cC 8 dD

    A differential rate equation enables the relationshi(bet&een the rate of disa((earance of reactants and

    the formation of (roducts.

    a,b,c and d are the stoichiometric coefficients

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    E-am(le6

    The formation of "7:,

    The differential rate equation

    "2g3 8 :72g3 2"7:g3

    The differential rate equation is

    dt

    ]d[NH

    2

    1

    dt

    ]d[H

    3

    1

    dt

    ]d[N 322==Rate )

    The equation means that the rate of disa((earance

    of "2is 1

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    Consider the reaction, 27 728 2,

    determine the rate of disa((earance of 7 &hen

    the rate of 2formation is 1.= - 10'> ? s'1.

    dt]d[I

    dt]d[H

    dtd[HI]

    21 22 ==

    Example 1:

    Rate )

    Rate )dt

    ]d[I

    dt

    d[HI]

    2

    1 2=

    dt

    ]d[I2 ) 1.= 10'>

    Solution:

    dt

    d[HI]) 2 1.= 10'> ) !" 1#$"% s$1

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    E&ERC'SE 1:

    7%drogen gas (roduced non(olluting (roduct is

    &ater va(our &hen react in !2 due to this reaction

    has been used for fuel aboard the s(ace shuttle,

    and ma% be used b% Earth'bound engines in the

    near future. 272g3 8 !2g3 272!g3

    / E-(ress the rate in terms of changes in *72,

    *!2 and *72! &ith time.

    / @hen *!2 is decreasing at 0.2: mol '1s'1, at

    &hat rate is *72! increasing

    (0.46 mol L-1

    s-1

    )

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    Consider the reaction,

    "!g3 8 !2g3 2"!2g3.

    $u((ose that at a (articular time during the

    reaction nitric o-ide "!3 is reacting at the rate of

    0.0>> ? s'1

    a3 At &hat rate is "!2being formed

    b3 At &hat rate is molecular o-%gen reacting

    Exercise (:

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    Consider the reaction,

    "2g3 8 :7

    2g3 2"7

    :g3

    $u((ose that at a (articular moment during the

    reaction molecular h%drogen is reacting at the rate

    of 0.0B ? s'1

    a3 At &hat rate is ammonia being formed

    b3 At &hat rate is molecular nitrogen reacting

    Exercise :