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For the equilibrium constant part, this is evident in the equation delta G naught = -RTlnK. I'm not sure how pressure plays a part. Maybe because the equilibrium constant can be calculated with the partial pressures of the products and reactants.
Depending on the pressure, the reaction can shift to favor either the products or reactants and the value of K also dictates whether or not a reaction is product favored (large K) or reactant favored (small K)
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