question_answer

The temperature dependence of rate constant \[(k)\] of a chemical reaction is written in terms of Arrhenius equation,\[k=A{{e}^{-E*/RT}}.\] Activation energy \[({{E}^{*}})\]of the reaction can be calculated by ploting                                      

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

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

C)  \[l\,vs\,T\]

D)  \[k\,vs\,\frac{1}{\log \,T}\]

Correct Answer: A

Solution :

 Arrhenius equation, \[k=A{{e}^{-E/RT}}\] \[\ln \,k=\ln \,A=-\frac{E}{RT}\] or \[\log \,k=log\,A-\frac{E}{2.303\,RT}\] Hence, E is calculated with the help of slope of following graph