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Correct name of diammine silver $ (I) $ chloride is:
 $ A)Ag(N{H_3})Cl $
 $ B)Ag(N{H_2})Cl $
 $ C)Ag{(N{H_3})_2}Cl $
 $ D)Ag{(N{H_2})_2}Cl $

Answer
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Hint: Coordination compounds are neutral substances in which at least one ion is present as a complex. A. To name a coordination compound, no matter whether the complex ion is the cation or the anion, always name the cation before the anion.

Complete answer:
$ - $ When naming a complex ion, the ligands are named before the metal ion.
$ - $ Write the names of the ligands in the following order neutral, negative, positive. If there are multiple ligands of the same charge type, they are named in alphabetical order.
$ - $ Multiple occurring monodentate ligands receive a prefix according to the number of occurrences: $ di - $ , $ tri - $ , $ tetra - $ , $ penta - $ , or $ hexa $ . Polydentate ligands receive $ bis - $ , $ tris - $ , $ tetrakis - $ , etc.
$ - $ Anions end in $ - ido $ . This replaces the final $ - e $ when the anion ends with $ - ate $ and replaces $ - ide $ .
$ - $ Neutral ligands are given their usual name, with some exceptions $ N{H_3} $ becomes amine $ {H_2}O $ becomes aqua or aquo $ CO $ becomes carbonyl $ NO $ becomes nitrosyl.
$ - $ Write the name of the central atom. If the complex is an anion, the central atom’s name will end in $ - ate $ .
$ - $ If the central atom’s oxidation state needs to be specified, write it as a Roman numeral in parentheses.
$ - $ End with cation or anion as separate words.
So, the correct answer is $ (C) Ag{(N{H_3})_2}Cl $ .

Note:
More complicated coordination compounds are composed of an atom or ion and a surrounding array of bound molecules or anions, known as ligands. The atom within a ligand that is bonded to the central atom or ion is called the donor atom. A typical complex is bound to several donor atoms, which can be the same or different.