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    Second Order Reaction MCQ - Practice Questions with Answers

    Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

    Quick Facts

    • 11 Questions around this concept.

    Solve by difficulty

    QuestionEASY

    The half-life of a second-order reaction is dependent on concentration of Reactant:-
     

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    For a second-order reaction, if the concentration of the reactant is tripled, the rate of the reaction becomes:.
     

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     A reaction follows second-order kinetics with the rate concentration of the reactant is 0.1 mott', what will be its concentration of ter 100 seconds?
     

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    Concepts Covered - 1

    Second Order Kinetics

    Consider the reaction

    \mathrm{A\: \rightarrow \: P}

    For ssecond order reaction, the rate law is given as follows:

    \mathrm{Rate\: =\: k[A]^{2}\: =\: -\frac{dA}{dt}}

     

    • Integrated Rate Law: Since it is a second order reaction, thus:
      \mathrm{\frac{-dA}{dt}\: =\: k[A]^{2}}
      Integrating both sides, we get:
      \mathrm{\int_{A_{o}}^{A}\frac{dA}{A^{2}}\: =\: -\int_{0}^{t}kdt}

      where, Ao is the initial concentration of A at time t = 0
      A is the remaining concentration of A after time 't'

      \mathrm{\Rightarrow\left [ \frac{-1}{A} \right ]^{A}_{A_{o}}\: =\: -k(t)^{t}_{0}}

      \mathrm{\Rightarrow\left [ \frac{1}{A} \right ]^{A}_{A_{o}}\: =\: kt}

      \mathrm{\Rightarrow\: \frac{1}{A}\: -\: \frac{1}{A_{o}}\: =\: kt\quad\quad\quad\quad\quad\quad...............(i)}

      \mathrm{Thus, \mathbf{\frac{1}{[A]}\: =\: kt\: +\: \frac{1}{[A_{o}]}}}
       
    • Half-life(t1/2): We know that the half-life for a reaction is the time when the concentration of the reactant(A) is half of tis initial value.
      Thus, at time t = t1/2, A = Ao/2
      From equation (i) we have:

      \mathrm{t\: =\: \frac{1}{k}\left [ \frac{1}{A}\: -\: \frac{1}{A_{o}} \right ]}

      \mathrm{\Rightarrow t_{1/2}\: =\: \frac{1}{k}\left [ \frac{1}{A_{o}/2}\: -\: \frac{1}{A_{o}} \right ]}

      \mathrm{Thus,\: \mathbf{t_{1/2}\: =\: \frac{1}{kA_{o}}}}
      This is the half-life for the second-order reaction.

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    Second Order Kinetics

    Study other Related Concepts

    Second Order Reaction Current Topic

    Rate of Reaction
    Rate Law
    Order of Reaction
    Zero Order Reaction
    First Order Reaction
    Second Order Reaction
    nth Order Reaction
    Methods of Determining Reaction Order
    Molecularity of reaction
    Pseudo First Order Reaction

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