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Methods of Determining Reaction Order MCQ - Practice Questions with Answers

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

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  • 13 Questions around this concept.

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Consider the Reaction \mathrm{A \rightarrow Products} the half life of a reaction at initial concentration \mathrm{0.1 \mathrm{~mol} L^{-1} \& \, 0.5 \mathrm{~mol} L^{-1}} are 200 sec and 40 sec respectively. The order of the reaction is

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Consider a reaction \mathrm{ A \rightarrow Products}-having half -life 50 min- for a certain initial concentration. If the concentration of the reactions becomes doubled, the half-life of the reaction becomes \mathrm{ 100 \mathrm{~min}}.What is order of the reaction :

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Consider a reaction
\mathrm{A \longrightarrow B}, having \mathrm{[A]_{0}^{2}\, t_{1 / 2}}  is constant. the order of the reaction is:

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Calculate the order of the reaction if 0.3 s and 0.6 s is the half life of two given samples. Also, initial concentration of the samples is 160 M and 80M respectively.

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At 12.5 KPa and 800 K, a gaseous reaction had the half life period of 375 s. Find the order of the reaction, if the pressure is changed to 45 KPa

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\mathrm{Co \sqrt{T}} was found to be constant in a single reactant reaction. Find the order of the reaction in which \mathrm{C_0} and T is the initial concentration of the reactant and half life, respectively. What is the order of the reaction?

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For a reaction \mathrm{A^{\prime}(g) \longrightarrow B(g)} when volume of ron vessel reduce to half life become half. The order of reaction will be

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Consider a reaction \mathrm{A+B+C \rightarrow} Produce with the rate law Expression is

\mathrm{Rate \left.=k(A)^2 (B\right)^{-1}(C)^2}. The order of reaction ls:

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Consider the reaction \mathrm{A+B+C\rightarrow } produced with ratelaw expression is Rate \mathrm{=k[A]^2[B ]^{\circ}[C]^{-1}} what will be the unit of rate constant (K) ?

 

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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

Study other Related Concepts

Methods of Determining Reaction Order 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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