The equilibrium concentrations of the species in the reaction $A+B \rightleftharpoons C+D$ are $2,3,

Question

The equilibrium concentrations of the species in the reaction $A+B ightleftharpoons C+D$ are $2,3,10$ and $6 \mathrm{~mol} \mathrm{~L}^{-1}$, respectively at $300 \mathrm{~K} . \Delta G^{\circ}$ for the reaction is ( $R=2 \mathrm{cal} / \mathrm{mol} \mathrm{K}$ )\

Professor PC Thomas Classes · Answer

(a) : $A+B ightleftharpoons C+D$\ $K=\frac{[C][D]}{[A][B]}=\frac{10 	imes 6}{2 	imes 3}=10$\ $\Delta G^{\circ}=-R T \ln K$\ $\Delta G^{\circ}=-2.303 R T \log K$\ $\Delta G^{\circ}=-2.303 	imes 2 	imes 300 	imes \log 10$ $$ =-2.303 	imes 2 	imes 300=-1381.80 \mathrm{cal} $$