(D) Given: $T_1 = 300 \ K$,$T_2 = 310 \ K$,$k_2 = 2k_1$,$R = 8.3 \ J \cdot mol^{-1} \cdot K^{-1}$,$\log 2 = 0.3$. Using the Arrhenius equation: $\log

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(D) Given: $T_1 = 300 \ K$,$T_2 = 310 \ K$,$k_2 = 2k_1$,$R = 8.3 \ J \cdot mol^{-1} \cdot K^{-1}$,$\log 2 = 0.3$. Using the Arrhenius equation: $\log \frac{k_2}{k_1} = \frac{E_a}{2.303 \ R} \left( \frac{T_2 - T_1}{T_1 T_2} \right)$ $\log 2 = \frac{E_a}{2.303 \times 8.3} \left( \frac{310 - 300}{300 \times 310} \right)$ $0.3 = \frac{E_a}{19.1149} \times \frac{10}{93000}$ $E_a = \frac{0.3 \times 19.1149 \times 93000}{10} \ J \cdot mol^{-1}$ $E_a = 53330.57 \ J \cdot mol^{-1} \approx 53.33 \ kJ \cdot mol^{-1}$.

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

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The rate constant of a first order reaction was doubled when the temperature was increased from $300 \ K$ to $310 \ K$. What is its approximate activation energy (in $kJ \cdot mol^{-1}$)? ($R = 8.3 \ J \cdot mol^{-1} \cdot K^{-1}$; $\log 2 = 0.3$)

AP EAMCET 2018 All AP EAMCET

A
$5.33$
B
$533.3$
C
$53333$
D
$53.33$

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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 first order reaction was doubled when the temperature was increased from $300 \ K$ to $310 \ K$. What is its approximate activation energy (in $kJ \cdot mol^{-1}$)? ($R = 8.3 \ J \cdot mol^{-1} \cdot K^{-1}$; $\log 2 = 0.3$)

Similar Questions

The rate of reaction increases with a rise in temperature because of:

The activation energy of a reaction is zero. Its rate constant at $280 \ K$ is $1.6 \times 10^{-6} \ s^{-1}$,the rate constant at $300 \ K$ is

For the forward reaction $X \rightarrow Y$,the activation energy is $60 \ kJ \ mol^{-1}$ and $\Delta H = -20 \ kJ \ mol^{-1}$. What is the activation energy for the reverse reaction $Y \rightarrow X$ in $kJ \ mol^{-1}$?

The relation between the fraction of molecules $\left( \frac{N_E}{N_T} \right)$ and temperature is explained by the Boltzmann and Maxwell distribution graph.

Which of the following statements is true about the equilibrium constant and rate constant of a single-step chemical reaction?

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