(C) The overall rate constant is given by $K = \frac{K_1 K_2}{K_3}$.Substituting the Arrhenius equation $K = A \cdot e^{-E_a / RT}$ for each step:$A \

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(C) The overall rate constant is given by $K = \frac{K_1 K_2}{K_3}$.Substituting the Arrhenius equation $K = A \cdot e^{-E_a / RT}$ for each step:$A \cdot e^{-E_a / RT} = \frac{(A_1 e^{-E_{a1} / RT}) \cdot (A_2 e^{-E_{a2} / RT})}{(A_3 e^{-E_{a3} / RT})}$$A \cdot e^{-E_a / RT} = \frac{A_1 A_2}{A_3} \cdot e^{-(E_{a1} + E_{a2} - E_{a3}) / RT}$Comparing the exponents,we get $E_a = E_{a1} + E_{a2} - E_{a3}$.Substituting the given values: $E_a = 40 + 50 - 60 = 30 \ kJ/mol$.

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

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For a reaction taking place in three steps at the same temperature,the overall rate constant is $K = \frac{K_1 K_2}{K_3}$. If $E_{a1}$,$E_{a2}$,and $E_{a3}$ are $40 \ kJ/mol$,$50 \ kJ/mol$,and $60 \ kJ/mol$ respectively,the overall activation energy $E_a$ is . . . . . . $kJ/mol$.

JEE MAIN 2024 All JEE MAIN

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$20$
B
$10$
C
$30$
D
$45$

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Collision theory, Energy of activation and Arrhenius equation

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The rate constant,the activation energy and the Arrhenius parameter of a chemical reaction at $25\,^oC$ are $3.0 \times 10^{-4}\,s^{-1}$,$104.4\,kJ\,mol^{-1}$ and $6.0 \times 10^{14}\,s^{-1}$ respectively. The value of the rate constant as $T \to \infty$ is

IIT 1996

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For a gaseous reaction,a large increase in the rate of reaction with a small increase in temperature indicates:

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Assertion : If the activation energy of a reaction is zero,temperature will have no effect on the rate constant.
Reason : Lower the activation energy,faster is the reaction.

MediumAIIMS 2015

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Which of the following plots is in accordance with the Arrhenius equation?

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Define the following terms:
$(1)$ Fraction of molecules
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For a reaction taking place in three steps at the same temperature,the overall rate constant is $K = \frac{K_1 K_2}{K_3}$. If $E_{a1}$,$E_{a2}$,and $E_{a3}$ are $40 \ kJ/mol$,$50 \ kJ/mol$,and $60 \ kJ/mol$ respectively,the overall activation energy $E_a$ is . . . . . . $kJ/mol$.

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The rate constant,the activation energy and the Arrhenius parameter of a chemical reaction at $25\,^oC$ are $3.0 \times 10^{-4}\,s^{-1}$,$104.4\,kJ\,mol^{-1}$ and $6.0 \times 10^{14}\,s^{-1}$ respectively. The value of the rate constant as $T \to \infty$ is

For a gaseous reaction,a large increase in the rate of reaction with a small increase in temperature indicates:

Assertion : If the activation energy of a reaction is zero,temperature will have no effect on the rate constant.Reason : Lower the activation energy,faster is the reaction.

Which of the following plots is in accordance with the Arrhenius equation?

Define the following terms:$(1)$ Fraction of molecules$(2)$ Frequency factor

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Assertion : If the activation energy of a reaction is zero,temperature will have no effect on the rate constant.
Reason : Lower the activation energy,faster is the reaction.

Define the following terms:
$(1)$ Fraction of molecules
$(2)$ Frequency factor