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NEET UG 2026 Biometric Attendance: Process & Importance
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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.

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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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