Question

A plot of $\ln K$ 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. $R\times \Delta S^o$

Answer 1

The correct option is B $\frac{\Delta S^o}{R}$

$\Delta G^o=-RT\ln K$

or $\Delta H^o-T\Delta S^o=-RT\ln K$

$\ln K=-\frac{\Delta H^o}{RT}+\frac{\Delta S^o}{R}$

Comparing the equation with $y=mx+c$,

$\therefore$ $yinterceptis\frac{\Delta S^o}{R}$

Hence, option B is correct.