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Adding a catalyst lowers the activation energy of the forward and reverse reaction; however, this is a kinetic property. Equilibrium is a thermodynamic property so it is not affected by the addition of a catalyst. The system may reach equilibrium faster, but the equilibrium composition will be the same.
Adding a catalyst does not change the equilibrium because it is a kinetic property that favors both the forward and reverse reactions at the same rate and does not change the coefficients. The system may reach equilibrium faster but the equilibrium concentrations will not change. For example, reactions in the body are sped up by catalysts, however, this does not change the concentration of the products or the reactants at equilibrium.
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