(B) The fraction of molecules $(f)$ having energy equal to or greater than the activation energy $(E_a)$ is given by the Arrhenius equation: $f = e^{-

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(B) The fraction of molecules $(f)$ having energy equal to or greater than the activation energy $(E_a)$ is given by the Arrhenius equation: $f = e^{-E_a/RT}$.Given:$E_a = 200 \ kJ \ mol^{-1} = 200,000 \ J \ mol^{-1}$$R = 8.314 \ J \ K^{-1} \ mol^{-1}$$T = 600 \ K$Substituting the values:$f = e^{-(200,000) / (8.314 \times 600)}$$f = e^{-(200,000) / (4988.4)}$$f \approx e^{-40.09} \approx e^{-40}$.

Class 12 Chemistry Chemical Kinetics Collision theory, Energy of activation and Arrhenius equation

Medium

The activation energy for the reaction $2HI_{(g)} \to H_{2_{(g)}} + I_{2_{(g)}}$ is $200 \ kJ \ mol^{-1}$ at $600 \ K$. Calculate the fraction of molecules of reactant having energy equal to or greater than activation energy.

A
$e^{-30}$
B
$e^{-40}$
C
$e^{-2.5}$
D
$e^{-1/3}$

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Class 12 Questions

Class 12

Chemistry Questions

Chapter

Chemical Kinetics

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Collision theory, Energy of activation and Arrhenius equation

The graph obtained between $\ln k$ ($k=$ Rate constant) on $y$-axis and $1/T$ on $x$-axis is a straight line. The slope of it is $-4 \times 10^4 \ K$. The activation energy of the reaction (in $kJ \ mol^{-1}$) is $(R=8.3 \ J \ K^{-1} \ mol^{-1})$

MediumTS EAMCET 2023

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Fill in the blanks:
$1.$ Common collision means ......... phenomenon in species.
$2.$ In collision theory,activation energy and proper orientation of the molecules together determine the ......... for an effective collision.

Difficult

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The minimum energy required for molecules to participate in a chemical reaction is called $.......$.

Easy

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Collision theory is used to explain how chemical species undergo a reaction. Using this theory and the kinetic molecular model,which of the following does $NOT$ influence the rate of a chemical reaction?

MediumAIIMS 2016

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The Arrhenius equation can be represented as:

Easy

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The activation energy for the reaction $2HI_{(g)} \to H_{2_{(g)}} + I_{2_{(g)}}$ is $200 \ kJ \ mol^{-1}$ at $600 \ K$. Calculate the fraction of molecules of reactant having energy equal to or greater than activation energy.

Similar Questions

The graph obtained between $\ln k$ ($k=$ Rate constant) on $y$-axis and $1/T$ on $x$-axis is a straight line. The slope of it is $-4 \times 10^4 \ K$. The activation energy of the reaction (in $kJ \ mol^{-1}$) is $(R=8.3 \ J \ K^{-1} \ mol^{-1})$

Fill in the blanks:$1.$ Common collision means ......... phenomenon in species.$2.$ In collision theory,activation energy and proper orientation of the molecules together determine the ......... for an effective collision.

The minimum energy required for molecules to participate in a chemical reaction is called $.......$.

Collision theory is used to explain how chemical species undergo a reaction. Using this theory and the kinetic molecular model,which of the following does $NOT$ influence the rate of a chemical reaction?

The Arrhenius equation can be represented as:

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Fill in the blanks:
$1.$ Common collision means ......... phenomenon in species.
$2.$ In collision theory,activation energy and proper orientation of the molecules together determine the ......... for an effective collision.