Chemical Kinetics - Result Question 48

####49. The activation energy of a reaction can be determined from the slope of which of the following graphs?

[2015]

(a) $\frac{\ln K}{T}$ vs. $T$

(b) $\ln K$ vs. $\frac{l}{T}$

(c) $\frac{T}{\ln K} vs \cdot \frac{l}{T}$

(d) $\ln K$ vs. $T$

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Solution:

  1. (b) Arrhenius equation

$K=A \cdot e^{-E_a / R T} \Rightarrow \ln K=\ln A-\frac{E_a}{R T}$

slope $=\frac{-E_a}{R}$

so, activation energy of reaction can be determined from the slope of $\ln K vs \frac{1}{T}$

Arrhenius Equation

$K=A e^{-E a / R T}$, where $e^{-E a / R T}$ represents the fraction of molecules



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