If we assume that the forward and reverse reaction both represent elementary steps, we can write rate law expressions for each direction:
Rateforward = kforward[A]0
Ratereverse = kreverse[B]0
After some time has passed, the rate of the forward reaction will be equal to the rate of the reverse reaction.
Rateforward = Ratereverse
kforward[A]0 = kreverse[B]0
Rearranging to group constants and concentrations, we get the expression for the equilibrium constant.kforward[A]0 = kreverse[B]0
Keq = [products]eq / [reactants]eq
If [products]eq = [reactants]eq, then Keq = 1 and the reaction does not favor products or reactants. If the equilibrium is product-favored, the the value of Keq will be larger than 1; if the equilibrium is reactant-favored, the the value of Keq will be less than 1 but still positive.
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