(B) The Arrhenius equation is given by $k = A e^{-E_a / RT}$.Taking the natural logarithm on both sides:$\ln k = \ln A - \frac{E_a}{RT}$.To convert th

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(B) The Arrhenius equation is given by $k = A e^{-E_a / RT}$.Taking the natural logarithm on both sides:$\ln k = \ln A - \frac{E_a}{RT}$.To convert this to base $10$ logarithm,we divide by $2.303$:$\log k = \log A - \frac{E_a}{2.303 RT}$.This equation is in the form of a straight line $y = mx + c$,where $y = \log k$,$x = 1/T$,$m = -\frac{E_a}{2.303 R}$,and $c = \log A$.Therefore,the slope of the graph is $-\frac{E_a}{2.303 R}$.

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

Medium

The temperature dependence of the rate constant $k$ is expressed as $k = A e^{-E_a / RT}$. When a plot between $\log k$ and $1/T$ is plotted,we get the graph as shown. What is the value of the slope in the graph?

A
$\frac{E_a}{RT}$
B
$-\frac{E_a}{2.303R}$
C
$-\frac{E_a}{2.303RT} \log A$
D
$-\frac{E_a}{2.303} \frac{R}{T}$

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Class 12 Questions

Class 12

Chemistry Questions

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Chemical Kinetics

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Collision theory, Energy of activation and Arrhenius equation

Which statement is incorrect according to the Arrhenius equation?

Medium

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$A$ first order reaction is $50\%$ completed in $20\, \text{minutes}$ at $27\, ^oC$ and in $10\, \text{minutes}$ at $47\, ^oC$. The energy of activation of the reaction is ....... $Kcal$.

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Who discovered collision theory? On which the collision theory is based?

Medium

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The rate of gas phase chemical reactions generally increases rapidly with a rise in temperature. This is mainly because

MediumKVPY 2011

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For a reaction having three steps, the overall rate constant is $K = \frac{k_1 k_2}{k_3}$. The values of $E_{a1}$, $E_{a2}$ and $E_{a3}$ (activation energies for each step) are $40$, $50$ and $60 \text{ kJ mol}^{-1}$ respectively. The overall activation energy $E_a$ of the reaction is:

DifficultKCET 2026

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The temperature dependence of the rate constant $k$ is expressed as $k = A e^{-E_a / RT}$. When a plot between $\log k$ and $1/T$ is plotted,we get the graph as shown. What is the value of the slope in the graph?

Similar Questions

Which statement is incorrect according to the Arrhenius equation?

$A$ first order reaction is $50\%$ completed in $20\, \text{minutes}$ at $27\, ^oC$ and in $10\, \text{minutes}$ at $47\, ^oC$. The energy of activation of the reaction is ....... $Kcal$.

Who discovered collision theory? On which the collision theory is based?

The rate of gas phase chemical reactions generally increases rapidly with a rise in temperature. This is mainly because

For a reaction having three steps, the overall rate constant is $K = \frac{k_1 k_2}{k_3}$. The values of $E_{a1}$, $E_{a2}$ and $E_{a3}$ (activation energies for each step) are $40$, $50$ and $60 \text{ kJ mol}^{-1}$ respectively. The overall activation energy $E_a$ of the reaction is:

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