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The activation energy of a reaction can be determined from the slope of which of the following graphs?
A
$\ln K$ vs. T
B
$\ln\frac{K}{T}$ vs. T
C
$\ln K$ vs. $\frac{1}{T}$
D
$\ln\frac{K}{T}$ vs. $\frac{1}{T}$
Detailed Solution
Arrhenius equation: $\ln k = \ln A - \frac{E_a}{RT}$
A plot of $\ln k$ vs $\frac{1}{T}$ is a straight line of slope $-\frac{E_a}{R}$, from which $E_a$ is found.
A plot of $\ln k$ vs $\frac{1}{T}$ is a straight line of slope $-\frac{E_a}{R}$, from which $E_a$ is found.