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Chemical Kinetics Test - 10

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Chemical Kinetics Test - 10
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  • Question 1
    4 / -1

    Direction (Q. Nos. 1-14) This section contains 14 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE is correct.

    A chemical reaction proceeds through the following steps :

    Step I, 2A ⇌ X  fast
    Step II, X+B ⇌ Y slow
    Step III, Y+B ⇌ Product fast

    Q. The rate law for the overall reaction is

    Solution

    By slow step II,

    By reversible fast step

    ∴ 
    ∴ 

  • Question 2
    4 / -1

    The following reaction obey rate law 

    It can follow mechanism

    I. NO2 + O3  NO3 + O2 ,   

    NO3+NO2  N2O5

    II.  NO2 + O  NO3

    NO3+NO2  N2O5

    Select the correct mechanism.

    Solution

     In I, slow step is

    Thus,
     

    ∴ 
    In fast reversible step,

    ∴ 
     
    ∴
     

  • Question 3
    4 / -1

    A chemical reaction is said to take place through the various stages with ΔG° values indicated by the graph:

    Stages I and II represent respectively

    Solution

    I is reaction intermediate while II is transition complex.

  • Question 4
    4 / -1

    Following reaction takes place by mechanism:

    Step I

    Step II

    Hence  for the given reaction is 

    Solution

    Slow step I is the rate-determining step.

  • Question 5
    4 / -1

    For the reaction, 

    Steps are 



    Solution

    By slow step II,

    By fast step l,
     
    ∴ 
     
    Net reaction is 

    Thus, rate law is based on the slow step.

  • Question 6
    4 / -1

     

    For the reaction,

    A + 2B → C+ D

    The rate law is k [A] [B] .
    Select the correct statement.

     

    Solution

     

     

    (a) Slow step is the rate-determining step, thus by
    rate law = k[A][B]
    Net reaction,

    Thus, this mechanism is not consistent with the stoichiometry, but is consistent with rate law.
    (b) By slow step,
    Rate law = k3[A][B2]
    By fast step, 

    ∴ 
    ∴ 
    Thus, this mechanism is consistent with the stoichiometry of the net reaction but not with the rate law.
    Thus, (b) is correct.

     

     

  • Question 7
    4 / -1

    For the reaction, 

    Mechanism is given by

    Rate law is true, if 

    Solution


    If step II is fast and reversible, then

    ∴ 
    ∴ 

  • Question 8
    4 / -1

    For the following SN reaction, 

    Rate-determining step is

    Solution


    H2O is a weak nucleophile and cannot attack tertiary carbon of maximum electron density directly. Thus, rate-determining slow step is
    step is
       
    and rate law is  
    and [H2O] is not involved.
    It is SN1 reaction.

  • Question 9
    4 / -1

    Reaction between nitric oxide and hydrogen takes place by the following mechanism:



    Q.

    Rate of the overall reaction in terms of the concentration of the reactants is 

    Solution

    Slow step II is the rate-determining step.
    ...(1)
    By step I in equilibrium,
     
    ∴ 
    Put the value of [N2O2] in Eq. (i), we get
    ∴ 

  • Question 10
    4 / -1

    Consider the following reaction,

    The rate equation for this reaction is, rate = k[CI2] [H2S]
    Which of these mechanisms is/are consistent with this rate equation?


    [AIEEE2010]

    Solution

    Slow step is the rate-determining step. 

    and  

    ∴ 
    which is not the rate law.

  • Question 11
    4 / -1

    The following mechanism has been proposed for the reaction,

    It involves the following steps:

    Q.

    The order of the reaction w.r.t. NO(g) is

    Solution

    From slow step,

    From equilibrium step,

    ∴ 

  • Question 12
    4 / -1

    Consider the three following proposed mechanism for the overall equation.




     

    Q.

    Which mechanism predicts a third order reaction? 

    Solution


    It is second order in A and first order in B thus, total order = 3. 
    II. 
    ∴ 

    Thus, it is second order in A and first order in B.
    Total order = 3

    Thus, it is second order in A and first order in B.
    Thus total order = 3

  • Question 13
    4 / -1

    Consider the following proposed mechanism :

    Solution





  • Question 14
    4 / -1

    Based on the following steps:

    Rate law is 

    Solution

    Slow step (II) is the rate-determining step.

    By fast step I in equilibrium.

    ∴ 
    ∴  

  • Question 15
    4 / -1

    Direction (Q. Nos. 15- 20) This section contains 3 paragraphs, each describing theory, experiments, data, etc., Six questions related to the paragraphs have been given. Each question has ONLY ONE correct answer among the four given options (a), (b), (c) and (d).

    Passage I

    The ozone in the earth’s ozone layer decomposes according to the equation,

    It involves

    (Time is in seconds and concentration in mol L-1)

    Q. 

    Rate of disappearance of O3 is

    Solution

    Step / is fast and reversible

    Step // is slow and rate-determining step.
    ∴ 
    ∴ 
    ∴ 
    where, k1 keq 



  • Question 16
    4 / -1

    Passage I

    The ozone in the earth’s ozone layer decomposes according to the equation,

    It involves

    (Time is in seconds and concentration in mol L-1)

    Q.

    What is the rate at a time of 50% decomposition of O3, when [O3]0 = 1.0 M?

    Solution

    Step / is fast and reversible

    Step // is slow and rate-determining step.
    ∴ 
    ∴ 
    ∴
     
    where, 


  • Question 17
    4 / -1

    Passage II

    N2O5 decomposes according to the following equation:

    The following mechanism has been given:


    Q.

    Rate of formation of O2 is given by

    Solution




    Half-life period is independent of [N2O5]. Hence, it is first order reaction.

  • Question 18
    4 / -1

    Passage II

    N2O5 decomposes according to the following equation:

    The following mechanism has been given:


    Q.

    Half-life period is independent of the concentration of N2O5. Thus,

    Solution




    Half-life period is independent of [N2O5]. Hence, it is first order reaction.

  • Question 19
    4 / -1

    Passage III

    is believed to proceed through the following three step mechanism:


    Q.

    Identify the false statement.

    Solution

    Molecularity of each step is two thus, true.
    Thus, (a) is correct.
    The limiting step of a complex reaction is always the slowest, thus (b) is correct.
    It involves more than one elementary step, thus, it is a complex reaction. Thus, (d) is also correct.
    HOCl appears in step I and disappears in step II, Thus it is an intermediate.
    HOI appears in step II and disappears in step III. Thus, HOI is also an intermediate.
    Thus, (c) is incorrect.
    Slow step il is the rate-determining step.



    Note H2O as reactant is not taken in equilibrium and rate expression.

  • Question 20
    4 / -1

    Passage III

    is believed to proceed through the following three step mechanism:


    Q.

    What is the rate equation of the reaction?

    Solution

    Molecularity of each step is two thus, true.
    Thus, (a) is correct.
    The limiting step of a complex reaction is always the slowest, thus (b) is correct.
    It involves more than one elementary step, thus, it is a complex reaction. Thus, (d) is also correct.
    HOCi appears in step I and disappears in step II, Thus it is an intermediate.
    HOI appears in step II and disappears in step III. Thus, HOI is also an intermediate.
    Thus, (c) is incorrect.
    Slow step il is the rate-determining step.


    Note H2O as reactant is not taken in equilibrium and rate expression.

  • Question 21
    4 / -1

     

    Direction (Q. Nos. 21 and 22) This section contains 2 questions. When worked out will result in one integer from 0 to 9 (both inclusive).

    Consider the following proposed mechanism:

     (rate constant =k ) to describe the overall equations

    Q.

    What is the order predicted by the proposed mechanism?

     

    Solution

     

     

    Rate determining step is 




    The reaction is third order in A and first order in B.
    Total order = 3 + 1 = 4

     

     

  • Question 22
    4 / -1

     

    For the overall reaction between A and 6 to yield C and D, two mechanisms are proposed.

    Q.

    At what concentration of A and/or B will the inherent rates be equal?

     

    Solution

     

     



    Thus, is fast and rate-determining step is

     

     

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