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Q. Calculate the overall complex dissociation equilibrium constant for the $[Cu(NH_3)_4]^{2+}$ ions, given that stability constant ($\beta$4) for this complex is $2.1 \times 10^{13}$.

AIIMSAIIMS 2017Coordination Compounds

Solution:

Dissociation constant is the reciprocal of the stability constant ($\beta$ = 1/K).
Overall complex dissociation equilibrium
constant, $K = \frac{1}{\beta_{4}}$
$\quad\quad\quad=\frac{1}{2.1\times10^{13}}=4.76\times10^{-14}$