question_answer

A plot of In K against\[\frac{1}{T}\] (abscissa) is expected to be a straight line with intercept on ordinate axis equal to

A)  \[\frac{\Delta {{S}^{o}}}{2.303R}\]                          

B)  \[\frac{\Delta {{S}^{o}}}{R}\]

C)  \[-\frac{\Delta {{S}^{o}}}{R}\]                   

D)  \[R\times \Delta {{S}^{o}}\]

Correct Answer: B

Solution :

                 \[\Delta {{G}^{o}}=-RT\]ln K or            \[\Delta {{\Eta }^{o}}-T\Delta {{S}^{o}}=-RT\]ln K or            ln \[K=-\frac{\Delta {{H}^{o}}}{RT}+\frac{\Delta {{S}^{o}}}{R}\] Comparing with \[y=mx+c\] \[\therefore \]\[y\](intercept) is \[\frac{\Delta {{S}^{o}}}{R}\]