The slope of the graph drawn between $\ln k$ and $\frac{1}{T}$ as per Arrhenius equation gives the value…

The slope of the graph drawn between $\ln k$ and $\frac{1}{T}$ as per Arrhenius equation gives the value $(R=$ gas constant, $E_\alpha=$ Activation energy)
  1. $\frac{R}{E_a}$
  2. $\frac{E_a}{R}$
  3. $\frac{-E_a}{R}$
  4. $\frac{-R}{E_a}$

Solution

Arrhenius equation, $k=A e^{-E_a / \mathrm{RT}}$ On taking log on both sides, we get $\ln k=\ln \mathrm{A}-\frac{E_a}{R T}$ A graph between in $k$ and $1 / \mathrm{T}$ is a straight line with $-\frac{E_a}{R}$ slope.

Asked in: AP EAMCET 2016

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