Coordination CompoundshardNUMERICAL

A highly unstable complex ion obeys Sidgwick's Effective Atomic Number (EAN) rule. The atomic numberCoordination Compounds Chemistry Question

Question

A highly unstable complex ion $[AuCl_6]^y-$ obeys Sidgwick's Effective Atomic Number (EAN) rule. The atomic number of Gold ($Au$) is 79, and the closest noble gas is Radon (Rn = 86). Find the absolute value of the charge $y$ on the complex ion.

Answer: 1

💡 Solution & Explanation

The EAN rule states: $EAN = Z - \text{Oxidation State} + 2 \times (\text{Coordination Number})$. For the complex $[AuCl_6]^y-$ to obey the rule, EAN must be 86. $86 = 79 - x + 2(6) \Rightarrow 86 = 79 - x + 12 \Rightarrow 86 = 91 - x \Rightarrow x = +5$. The oxidation state of Gold is $+5$. The charge on the complex $y$ is the sum of the oxidation state of the metal and the charges of the ligands. $y = +5 + 6(-1) = -1$. The absolute value is $1$.

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