Equilibrium constant formula give

Chemistry

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The general formula for the equilibrium constant (KcK_c) for a reversible reaction is derived from the law of mass action.

For a general reversible reaction:

aA+bB⇌cC+dDa\text{A} + b\text{B} \rightleftharpoons c\text{C} + d\text{D}

where A, B, C, and D are chemical species, and a,b,c,da, b, c, d are their respective stoichiometric coefficients.

The equilibrium constant in terms of molar concentrations (KcK_c) is given by:

Kc=[C]c[D]d[A]a[B]bK_c = \frac{[\text{C}]^c[\text{D}]^d}{[\text{A}]^a[\text{B}]^b}

where:

  • [A][\text{A}], [B][\text{B}], [C][\text{C}], and [D][\text{D}] represent the molar concentrations of the reactants and products at equilibrium.
  • The exponents a,b,c,da, b, c, d are the stoichiometric coefficients from the balanced chemical equation.

For reactions involving gases, the equilibrium constant can also be expressed in terms of partial pressures (KpK_p):

Kp=(PC)c(PD)d(PA)a(PB)bK_p = \frac{(P_{\text{C}})^c(P_{\text{D}})^d}{(P_{\text{A}})^a(P_{\text{B}})^b}

where PXP_{\text{X}} represents the partial pressure of gas X at equilibrium.

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