(B) The Arrhenius equation is given by $k = A e^{-\frac{E_a}{RT}}$.As $T \to \infty$,the term $\frac{E_a}{RT} \to 0$.Therefore,$e^{-\frac{E_a}{RT}} \t

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(B) The Arrhenius equation is given by $k = A e^{-\frac{E_a}{RT}}$.As $T \to \infty$,the term $\frac{E_a}{RT} \to 0$.Therefore,$e^{-\frac{E_a}{RT}} \to e^0 = 1$.Thus,$\lim_{T \to \infty} (k) = A \times 1 = A$.Given that the Arrhenius constant $A = 2 \times 10^{15}\, s^{-1}$,the value of the rate constant as $T \to \infty$ is $2 \times 10^{15}\, s^{-1}$.

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

Difficult

At $25\,^{\circ}C$,the values of rate constant,activation energy and Arrhenius constant of a reaction are $3 \times 10^{-4}\, s^{-1}$,$129\, kJ/mol$ and $2 \times 10^{15}\, s^{-1}$ respectively. The value of rate constant as $T \to \infty$ is

A
zero
B
$2 \times 10^{15}$
C
$3 \times 10^{-4}$
D
$6 \times 10^{11}$

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Class 12

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Chemical Kinetics

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Collision theory, Energy of activation and Arrhenius equation

Which of the following statements is incorrect?

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What happens to the most probable kinetic energy and the energy of activation with an increase in temperature?

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The rate of a reaction quadruples when temperature changes from $27^{\circ} C$ to $57^{\circ} C$. Calculate the energy of activation.
Given $R=8.314 \ J \ K^{-1} \ mol^{-1}, \log 4=0.6021$

MediumNEET 2024

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The equation $k = (6.5 \times 10^{12} \, s^{-1}) e^{-26000 \, K / T}$ is followed for the decomposition of compound $A$. The activation energy for the reaction is $..... \, kJ \, mol^{-1}$. [nearest integer] (Given: $R = 8.314 \, J \, K^{-1} \, mol^{-1}$)

EasyJEE MAIN 2022

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For an endothermic reaction,$\Delta H$ represents the enthalpy of the reaction in $kJ \ mol^{-1}$. The minimum amount of activation energy will be

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At $25\,^{\circ}C$,the values of rate constant,activation energy and Arrhenius constant of a reaction are $3 \times 10^{-4}\, s^{-1}$,$129\, kJ/mol$ and $2 \times 10^{15}\, s^{-1}$ respectively. The value of rate constant as $T \to \infty$ is

Similar Questions

Which of the following statements is incorrect?

What happens to the most probable kinetic energy and the energy of activation with an increase in temperature?

The rate of a reaction quadruples when temperature changes from $27^{\circ} C$ to $57^{\circ} C$. Calculate the energy of activation.Given $R=8.314 \ J \ K^{-1} \ mol^{-1}, \log 4=0.6021$

The equation $k = (6.5 \times 10^{12} \, s^{-1}) e^{-26000 \, K / T}$ is followed for the decomposition of compound $A$. The activation energy for the reaction is $..... \, kJ \, mol^{-1}$. [nearest integer] (Given: $R = 8.314 \, J \, K^{-1} \, mol^{-1}$)

For an endothermic reaction,$\Delta H$ represents the enthalpy of the reaction in $kJ \ mol^{-1}$. The minimum amount of activation energy will be

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The rate of a reaction quadruples when temperature changes from $27^{\circ} C$ to $57^{\circ} C$. Calculate the energy of activation.
Given $R=8.314 \ J \ K^{-1} \ mol^{-1}, \log 4=0.6021$