question_answer

In terms of Arrhenius equation, \[k=A{{e}^{-{{E}_{a}}RT}}\]the temperature dependence of rate constant (k) of a chemical reaction is written. Then, the activation energy \[({{E}_{a}})\] of the reaction can be calculated by plotting.

A)  \[\log \,k\,vs\frac{1}{\log \,T}\]

B)  \[\log \,k\,vs\frac{1}{T}\]

C)  \[k\,vs\,\,T\]

D)  \[k\,vs\,\,\frac{1}{\log \,T}\]

Correct Answer: B

Solution :

According to Arrhenius equation,                 \[k=A{{e}^{-{{E}_{a}}/RT}}\]                 In \[k=\ln \,\,A-\frac{{{E}_{a}}}{RT}\] or            \[\log \,\,k=\log \,A-\frac{E}{2.303\,\,RT}\] Hence, E is calculated with the help of slope.