User:Pettythug


 * $$\Delta G = -R T \ln K \,$$


 * $$\Delta G = \Delta H - T \Delta S \,$$


 * $$\Delta H - T \Delta S = -R T \ln K \,$$


 * $$K \ = \frac{k}{\beta}$$


 * $$k = \frac{t_R - t_M}{t_M}$$


 * $$\Delta H - T \Delta S = -R T \ln \frac{k}{\beta} $$


 * $$ ln \frac{k}{\beta} = \frac{-\Delta H}{RT} + \frac{\Delta S}{R}$$


 * $$ ln k - ln \beta = \frac{-\Delta H}{RT} + \frac{\Delta S}{R}$$


 * $$ ln k = \frac{-\Delta H}{RT} + \frac{\Delta S}{R} + ln \beta$$


 * sigma =