JEE Main Class 11 Syllabus 2025 PDF for Paper 1 and 2

Methods of Determining Reaction Order - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:35 AM | #JEE Main

Quick Facts

  • 10 Questions around this concept.

Solve by difficulty

The variation of the rate of an enzyme catalyzed reaction with substrate concentration is correctly represented by graph

 

Which among the following graphs pertain to a zero order reaction?

 

For a reaction A + B → products, the rate of reaction was doubled when concentration of A was doubled. When concentration of A and B both was doubled, the rate was again doubled, order of reaction with respect to A and B are respectively -

Concepts Covered - 3

How to Determine Order of Reaction: Half Life Method

It is used when the rate law involves only one concentration term.

\mathrm{t_{1 / 2} \propto(a)^{1-n}} 
or 
\mathrm{t_{1 / 2} \propto 1 / a^{n-1}}

For two different concentrations, we have:

\mathrm{\frac{\left(t^{1 / 2}\right)_{1}}{\left(t^{1 / 2}\right)_{2}}=\left(\frac{a_{2}}{a_{1}}\right)^{n-1}}

On taking logarithms on both sides, we get:

\mathrm{\log _{10} \frac{\left(t_{1 / 2}\right)_{1}}{\left(t_{1 / 2}\right)_{2}}=(n-1) \log _{10}\left(a_{2} / a_{1}\right)}

Hence,

\mathrm{n}=1+\frac{\log \left(\mathrm{t}^{1 / 2}\right)_{1}-\log \left(\mathrm{t}^{1 / 2}\right)_{2}}{\log \mathrm{a}_{2}-\log \mathrm{a}_{1}}
Here,  n is the order of the reaction.

How to Determine Order of Reaction: Graphical Method

Here graphs are plotted between rate and concentration to find the order of the reaction.

\left[\text {Rate }=\mathrm{k}(\text {concentration})^{\mathrm{n}}\right]

Plots of Rate vs Concentration

How to Determine Order of Reaction - Integrated Rate Law Method

If the data for time(t) and [A] is given then this method is applicable. Thus follows the steps given below to find the order of reaction by using the integrated rate law method.

  • Check for First Order: 
    1. Use the formula given below to find out the two values of k as k1 and k2.
      \mathrm{k\: =\: \frac{2.303}{t}\, log_{10}\left [ \frac{A_{o}}{A} \right ]}
    2. If these two values k1 and k2 are same, then this given reaction is of first-order. But if k1≠ k2, then check for zero-order.
  • Check for Zero-Order:
    1. Use the formula given below to find out the two values of k as k1 and k2.
      \mathrm{k\: =\: \frac{A_{o}-A}{t}}
    2. Again, if these two values k1 and k2 are same, then this given reaction is of zero-order. But if k1≠ k2, then check for second-order.
  • Check for Third-Order:
    1. Use the formula given below to find out the two values of k as k1 and k2.
      \mathrm{k\: =\: \frac{1}{t}\left [ \frac{1}{A}-\frac{1}{A_{o}} \right ]}
    2. Further, if these two values k1 and k2 are same, then this given reaction is of second-order. But if k1≠ k2, then check for third-order and so on.

Study it with Videos

How to Determine Order of Reaction: Half Life Method
How to Determine Order of Reaction: Graphical Method
How to Determine Order of Reaction - Integrated Rate Law Method

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