The IUPAC name of the complex \([Pt(NH_3)_2Cl(NH_2CH_3)]Cl\) is:

Diamminechloridomethylamineplatinum(II) chloride

The correct answer is option 3. Diamminechloridomethylamineplatinum(II) chloride.

The complex \([Pt(NH_3)_2Cl(NH_2CH_3)]Cl\) consists of:

\(Pt\) (platinum) as the central metal ion.

\(NH_3\) (ammonia) as a neutral ligand.

\(Cl\) (chloride) as a ligand.

\(NH_2CH_3\) (methylamine) as another neutral ligand.

\(Cl\) (chloride) outside the coordination sphere.

Step-by-step IUPAC Naming:

Naming the ligands:

The ligand \(NH_3\) (ammonia) is named ammine.

The ligand \(Cl\) (chloride attached to platinum) is named chlorido.

The ligand \(NH_2CH_3\) (methylamine) is named methylamine.

Order of ligands: In IUPAC nomenclature, ligands are named in alphabetical order, so "ammine" comes before "chlorido" and "methylamine."

Oxidation state of platinum:

The overall charge of the complex ion is neutral because the coordination sphere is \([Pt(NH_3)_2Cl(NH_2CH_3)]^+\) and there is one chloride ion \((Cl^-)\) outside the coordination sphere.

Platinum is in the +2 oxidation state, which is denoted as (II).

Chloride outside the complex: The chloride ion outside the coordination sphere is written as "chloride" at the end.

The IUPAC name of the complex \([Pt(NH_3)_2Cl(NH_2CH_3)]Cl\) is Diamminechloridomethylamineplatinum(II) chloride.