JEE Main · 2012 · 29 Apr 2012 · Offline · Chemical Thermodynamics

The sound relations are $\Delta G^{\circ }=-RT\ln K$, which rearranges to $\ln K=-\frac{\Delta G^{\circ }}{RT}$, together with $\Delta G^{\circ }=\Delta H^{\circ }-T\Delta S^{\circ }$. Combining them gives $\ln K=-\frac{\Delta H^{\circ }-T\Delta S^{\circ }}{RT}$. The expression written without the leading minus sign, $\ln K=\frac{\Delta H^{\circ }-T\Delta S^{\circ }}{RT}$, therefore has the wrong sign and is the incorrect one.