Question

The following equation is the Arrhenius equation, $k=A{e}^{-E_a/RT}$ , where $E_a$ is the minimum energy molecules must possess in order to react to form a product, $k$ is the rate constant, $A$ is the frequency factor, $R$ is the gas constant and $T$ is the Kelvin temperature. Under normal circumstances, the Arrhenius plot is obtained by plotting

• A. logarithm of the inverse of rate constant $1/k$ , versus the inverse temperature $1/T$
• B. logarithm of the rate constant $k$ , versus the temperature $T$
• C. logarithm of the rate constant $k$ , versus the inverse temperature $1/T$
• D. logarithm of the inverse of rate constant $1/k$ , versus the temperature $T$

Answer 1

Answer: (C)

$k=A{e}^{-E_a/RT}$
Taking log on both sides
$lo{g}_{10}k=lo{g}_{10}A-\frac{E_a}{2.303R}\left(\frac{1}{T}\right)$
Logarithm of $k$ is plotted against $(1/T)$ to obtain Arrhenius plot