Which external variable is the only one mentioned that actually changes the intrinsic value of the equilibrium constant ($K$)?

Answer

Temperature.

Temperature is unique because it is the only external factor that directly alters the thermodynamic tendency of a reaction, thereby changing the numerical value of the equilibrium constant $K$.

Which external variable is the only one mentioned that actually changes the intrinsic value of the equilibrium constant ($K$)?

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Le Chatelier's Principle

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