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The IUPAC name of \[K[Ag{{(CN)}_{2}}]\] is
A. \[Potassium\text{ }argentocyanide\]
B. \[Potassium\text{ }silver\text{ }cyanide\]
C. \[Potassium\text{ }dicyanidoargentate\left( I \right)\]
D. \[Potassium\text{ }dicyanidosilver\left( II \right)\]

Answer
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Hint: The IUPAC nomenclature of coordination compounds is relevant to the subject that has been posed. The naming conventions for various coordination compounds have been established by IUPAC and are recognised globally. So, we'll keep the nomenclature rules in mind as we move forward.

Complete Step by Step Solution:
IUPAC, also known as the International union for pure and applied chemistry, has set some rules to name the coordination compounds. This is called the nomenclature of the coordination compounds. So some of the rules for naming such compounds are written below:
1. If a coordination compound contains an ion, the name of the cation is always stated first, no matter if the cation is complex or not. In the same way that a simple salt is named, it is followed by the name of the anion. There is a space between the names of the cation and anion.
2. Inside the complex, the name of the ligands are written first followed by the name of the central metal atom with its oxidation state in roman.

Rules for naming the ligand:
- Anionic ligands that end in -ide are given names by swapping out the -ide for the suffix -o or the -e for the -o.
- The names of neutral compounds are also used for neutral ligands.
- Ligands with positive charges end in -ium
- Greek numbers like di, tri, penta, and hexa are used to represent the number of a specific ligand if they are present in more than one number.
- When many ligand types are present, they are listed alphabetically without hyphenation.

3. Complex negative ions always end in the suffix -ate, whereas complex positive ions and neutral coordination compounds do not have a particular ending with the name of the central metal. The suffix "-ate" is typically attached to the English names of metals, though it can also be attached to Latin names in specific circumstances.

Now for the given compound let’s find the oxidation number for the central metal atom i.e. Ag
Let’s assume the oxidation number to be x.
\[K[Ag{{(CN)}_{2}}]\] on ionisation will give \[{{K}^{+}}\]and \[{{[Ag{{(CN)}_{2}}]}^{-}}\]
Therefore, the net charge on the complex is -1 and we know that CN is a ligand that carries a charge of -1. So, the oxidation state of Ag will be:
$x-2=-1$
$x=-1+2=1$So, the oxidation state of Ag is +1.

Now, after considering the rules and the oxidation number we have obtained. The name of the compound is \[Potassium\text{ }dicyanidoargentate\left( I \right)\].
Hence, the correct option is C. \[Potassium\text{ }dicyanidoargentate\left( I \right)\]

Note: A complex molecule is created when a positively charged ion is encircled by non-metals, various types of ligands, and d-block elements. A complex compound or coordination compound is the term used to describe that large chemical. Because numerous ligands contribute their electrons through the coordinate bonds, complex compounds are referred to as coordination compounds.