The equilibrium constant \( K \) for a reaction is defined as the ratio of the concentrations (or activities) of the products to the reactants at equilibrium, each raised to the power of their stoichiometric coefficients.
At a given constant temperature, the value of the equilibrium constant remains fixed and does not change regardless of initial concentrations or pressures.
However, the equilibrium constant is temperature-dependent — it changes only if the temperature of the system changes.
Thus, at constant temperature, the equilibrium constant is constant.