What information can be determined from \(\Delta G\) for a reaction? Does one get the same information from \(\Delta G^{\circ}\), the standard free energy change? \(\Delta G^{\circ}\) allows determination of the equilibrium constant \(K\) for a reaction. How? How can one estimate the value of \(K\) at temperatures other than \(25^{\circ} \mathrm{C}\) for a reaction? How can one estimate the temperature where \(K=1\) for a reaction? Do all reactions have a specific temperature where \(K=1\) ?

\(\Delta G\) determines the spontaneity of a reaction, while \(\Delta G^{\circ}\) provides information about the reaction's thermodynamics under standard conditions. The equilibrium constant, \(K\), is calculated using \(K = e^{-\frac{\Delta G^{\circ}}{RT}}\). To estimate the value of \(K\) at different temperatures, the Van't Hoff equation, \(\ln{\frac{K_2}{K_1}} = \frac{-\Delta H^{\circ}}{R} \left( \frac{1}{T_2} - \frac{1}{T_1}\right)\), can be employed. To find the temperature where \(K=1\), solve for the temperature in the equation \(\Delta G^{\circ} = -RT \ln{K}\) when \(\Delta G^{\circ} = 0\). However, not all reactions have a specific temperature where \(K=1\), as it depends on the initial conditions and the properties of the reaction.