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Question: Answered & Verified by Expert
Calculate the overall complex dissociation equilibrium constant for the $\left[\mathrm{Cu}\left(\mathrm{NH}_3\right)_4\right]^{2+}$ ions, given that stability constant $\left(\beta_4\right)$ for this complex is $2.1 \times 10^{13}$.
ChemistryIonic EquilibriumAIIMSAIIMS 2017
Options:
  • A $8.27 \times 10^{-13}$
  • B $4.76 \times 10^{-14}$
  • C $2.39 \times 10^{-7}$
  • D $1.83 \times 10^{14}$
Solution:
1649 Upvotes Verified Answer
The correct answer is: $4.76 \times 10^{-14}$
Dissociation constant is the reciprocal of the stability constant $(\beta=1 / K)$.
Overall complex dissociation equilibrium
constant, $\begin{aligned} K & =\frac{1}{\beta_4} \\ & =\frac{1}{2.1 \times 10^{13}}=4.76 \times 10^{-14}\end{aligned}$

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