(B) Using the Arrhenius equation: $\ln \frac{k_2}{k_1} = \frac{E_a}{R} [\frac{T_2 - T_1}{T_1 T_2}]$ Given: $k_1 = 0.02 \ s^{-1}$,$k_2 = 0.2 \ s^{-1}$,

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(B) Using the Arrhenius equation: $\ln \frac{k_2}{k_1} = \frac{E_a}{R} [\frac{T_2 - T_1}{T_1 T_2}]$ Given: $k_1 = 0.02 \ s^{-1}$,$k_2 = 0.2 \ s^{-1}$,$T_1 = 500 \ K$,$T_2 = 700 \ K$,$R = 8.3 \ J \ K^{-1} \ mol^{-1}$ $\ln \frac{0.2}{0.02} = \frac{E_a}{8.3} [\frac{700 - 500}{500 \times 700}]$ $\ln 10 = \frac{E_a}{8.3} [\frac{200}{350000}]$ $2.303 = \frac{E_a}{8.3} \times \frac{2}{3500}$ $E_a = \frac{2.303 \times 8.3 \times 3500}{2} \approx 33450 \ J \ mol^{-1} = 33.45 \ kJ \ mol^{-1}$

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

Medium

The rate constant of a reaction at $500 \ K$ and $700 \ K$ are $0.02 \ s^{-1}$ and $0.2 \ s^{-1}$ respectively. The activation energy of the reaction (in $kJ \ mol^{-1}$) is $(R=8.3 \ J \ K^{-1} \ mol^{-1})$

AP EAMCET 2024 All AP EAMCET

A
$66.90$
B
$33.45$
C
$22.30$
D
$44.45$

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Class 12

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Chemical Kinetics

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Collision theory, Energy of activation and Arrhenius equation

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The rate constant of a reaction at $500 \ K$ and $700 \ K$ are $0.02 \ s^{-1}$ and $0.2 \ s^{-1}$ respectively. The activation energy of the reaction (in $kJ \ mol^{-1}$) is $(R=8.3 \ J \ K^{-1} \ mol^{-1})$

Similar Questions

For a first order chemical reaction,

The rate constant $(K')$ of one reaction is double the rate constant $(K'')$ of another reaction. What is the relationship between the corresponding activation energies of the two reactions (${E_a}'$ and ${E_a}''$)?

What is the value of the slope if $\log_{10} K$ ($y$-axis) is plotted versus $1/T$ ($x$-axis) for the Arrhenius equation?

Among the following graphs showing the variation of rate constant $(k)$ with temperature $(T)$ for a reaction,the one that exhibits Arrhenius behaviour over the entire temperature range is:

Consider the given plot of enthalpy of the following reaction between $A$ and $B$: $A + B \to C + D$. Identify the incorrect statement.

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