Q. The temperature dependence of rate constant ($k$) of a chemical reaction is written in terms of Arrhenius equation, $k = Ae^{- E*RT}$. Activation energy ($E^{*}$) of the reaction can be calculated by plotting

A) $\log{k\ vs\frac{1}{T}}$
B) $\log{k\ vs\frac{1}{\log T}}$
C) $k\ vs\ T$
D) $k\ vs\frac{1}{\log\ T}$
Explanation

(a)
Arrhenius equation $k = Ae^{- \frac{E}{RT}}$
In $k = \ln{A - \frac{E}{RT}}$
or $\log{k = \log{A - \frac{E}{2.303\ RT}}}$
Hence, $E$ is calculated with the help of slope of following.
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Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.