The quantitative effect of temperature on chemical equilibrium is given by the

The quantitaive relationship between equilibrium constant (equilibrium) and temperature is given by vant hoff equation .whereas the arrhenius quation gives an quantitative relationship between temperature and rate constant .and the lechalters principle gives the quilitative relationship between temperature and chemical equilibrium.
Vant hoff equation : $$lnK = - \frac{{\Delta H}}{{RT}} + \frac{{\Delta S}}{R}$$