In: Chemistry
Write the expression for K for the reaction below.
Ag+(aq) + 2 NH3(aq) ⇄ Ag(NH3)2+(aq)
This is a reversible reaction
This is equation is of the form: aA + bB <----------> cC
For a reversible reaction at equilibrium: forward and reverse reactions are in balance
So, At equilibrium: rateforward=ratereverse
kforward [A]a[B]b= kbackward [C]c
where [A],[B],[C] are concentrations of A,B and C respectively and a,b,c are stoichiometric coefficients of A,B,C respectively. kforward, kbackward are rate constants of forward and backward reactions respectively.
Applying this to the given equation,
kforward [Ag+]1[NH3]2= kbackward [Ag(NH3)2]1
kforward / kbackward = [Ag(NH3)2]1 /[Ag+]1[NH3]2
Write k = kforward / kbackward
So, K = [Ag(NH3)2]1 /[Ag+]1[NH3]2
So it can be generalised that k is the ratio of concentrations of products to reactants