Explain the distribution of kinetic energy among molecules using the Maxwell-Boltzmann distribution graph.

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(N/A) In a chemical reaction,not all molecules possess the same kinetic energy,as it is difficult to predict the behavior of any single molecule with precision.
Maxwell and Boltzmann used statistical methods to predict the behavior of a large number of molecules.
The fraction of molecules is defined as $\frac{N_E}{N_T}$,where $N_E$ is the number of molecules with a specific kinetic energy and $N_T$ is the total number of molecules.
The plot of the fraction of molecules $\left( \frac{N_E}{N_T} \right)$ versus kinetic energy shows the distribution of energies.
The peak of the curve corresponds to the most probable kinetic energy,which is the kinetic energy possessed by the maximum fraction of molecules.
The number of molecules with energies significantly higher or lower than this most probable value decreases as we move away from the peak.

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At what temperature does the rate become double that at $300 \, K$ (in $, K$)? Given $\ln k = 10 - \frac{69 \, kJ}{RT}$.

What is the value of the slope of the plot $\ln K$ versus $\frac{1}{T}$ for a reaction having $E_{a} = 33.256 \ J \ mol^{-1}$?

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