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The chemical formula of diammine silver (I) chloride is.

Answer
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Hint: This is a cationic complex as chlorine is present as chloride ion. In this compound the oxidation state of silver is $+1$ as silver amine is a neutral ligand.

Complete Step by Step Solution:
The given compound is diammine silver (I) chloride. Diammine means this compound or complex has two amine groups. Again we know that an amine group is a neutral group so it does not contribute any charge.

The oxidation state of silver is $+1$ . Thus the charge on silver comes from chloride ligand as it gives -1 charge. Here the central metal atom is silver which has the symbol of $Ag$ .
The chloride is present in the outside of the coordination sphere as the complex is neutral and the total positive charge on the metal atom silver neutralises the charge on the chloride ligand. The symbol of chloride ligand is $Cl$ .

Again the symbol of the amine ligand is $N{{H}_{3}}$ .
Thus the chemical formula of diammine silver (I) chloride is $[Ag{{(N{{H}_{3}})}_{2}}]Cl$.

Additional information: Silver is a transition element. It is a $4d$ group element and has the symbol of $Ag$ .

Note: Silver is a transition element. It is a $4d$ group element and has the symbol of $Ag$ . Silver always forms a cationic complex. It has many uses as well. It is used in products where appearance is important. As it is the best reflector of visible light, it is used in manufacturing the mirrors and also used in dental alloys.