(C) The Arrhenius equation is given by $k = A \times e^{-\frac{E_a}{RT}}$.Taking the natural logarithm on both sides,we get $\ln k = \ln A - \frac{E_a

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(C) The Arrhenius equation is given by $k = A \times e^{-\frac{E_a}{RT}}$.Taking the natural logarithm on both sides,we get $\ln k = \ln A - \frac{E_a}{R} \times (\frac{1}{T})$.This equation is in the form of a straight line $y = mx + c$,where $y = \ln k$,$x = \frac{1}{T}$,$m = -\frac{E_a}{R}$ (slope),and $c = \ln A$ (intercept).Therefore,a plot of $\ln k$ versus $\frac{1}{T}$ yields a straight line.

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

Medium

$A$ student determined the value of the rate constant,$k$,for a chemical reaction at several different temperatures. Which of the following graphs of the student's data would give a straight line?

A
$k$ vs $T$
B
$k$ vs $(\frac{1}{T})$
C
$\ln k$ vs $(\frac{1}{T})$
D
$\ln k$ vs $E_a$

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Class 12

Chemistry Questions

Chapter

Chemical Kinetics

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Collision theory, Energy of activation and Arrhenius equation

In a first order reaction at $27\,^oC$ and $47\,^oC$,$50\%$ of the reaction is complete in $30\,\min$ and $10\,\min$ respectively. Calculate the energy of activation $(E_a)$.

Medium

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$A$ plot of $ \frac{1}{T} $ vs. $ \ln k $ for a reaction gives the slope $ -1 \times 10^{4} \ K $. The energy of activation for the reaction is (Given $ R = 8.314 \ J \ K^{-1} \ mol^{-1} $)

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$A$ given sample of milk turns sour at room temperature $(27^{\circ} C)$ in $5 \ h$. In a refrigerator at $-3^{\circ} C$,it can be stored $10$ times longer. The energy of activation for the souring of milk is

EasyKCET 2012

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For the reaction $X \rightleftharpoons Y$,the pre-exponential factors for the forward and backward reactions are equal. What will be the equilibrium constant of the reaction?

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Which one of the following does not represent the Arrhenius equation?

EasyKCET 2024

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$A$ student determined the value of the rate constant,$k$,for a chemical reaction at several different temperatures. Which of the following graphs of the student's data would give a straight line?

Similar Questions

In a first order reaction at $27\,^oC$ and $47\,^oC$,$50\%$ of the reaction is complete in $30\,\min$ and $10\,\min$ respectively. Calculate the energy of activation $(E_a)$.

$A$ plot of $ \frac{1}{T} $ vs. $ \ln k $ for a reaction gives the slope $ -1 \times 10^{4} \ K $. The energy of activation for the reaction is (Given $ R = 8.314 \ J \ K^{-1} \ mol^{-1} $)

$A$ given sample of milk turns sour at room temperature $(27^{\circ} C)$ in $5 \ h$. In a refrigerator at $-3^{\circ} C$,it can be stored $10$ times longer. The energy of activation for the souring of milk is

For the reaction $X \rightleftharpoons Y$,the pre-exponential factors for the forward and backward reactions are equal. What will be the equilibrium constant of the reaction?

Which one of the following does not represent the Arrhenius equation?

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