The IUPAC name of `[Co(NH_(3))_(3)CIBrNO_(2)]` will be :

Options

A. Triaminebromochloronitrocobaltate (III)
B. Triaminebromochloronitrocobalt (III)
C. Triaminebromonitrochlorocobalt (III)
D. Triaminenitrochlorocobalt (III)

Answer

To determine the IUPAC name of the coordination compound \([Co(NH_3)_3ClBrNO_2]\), we will follow these steps:

### Step 1: Determine the oxidation state of the central metal ion (Co)
- Let the oxidation state of cobalt be \(x\).
- The ligands present are:
- Ammonia \((NH_3)\) which is a neutral ligand (0 charge).
- Chloride \((Cl^-)\) which has a charge of -1.
- Bromide \((Br^-)\) which has a charge of -1.
- Nitrite \((NO_2^-)\) which also has a charge of -1.

The overall charge of the complex is neutral (0). Therefore, we can set up the equation:
\[ x + 0 + (-1) + (-1) + (-1) = 0 \]
\[ x - 3 = 0 \implies x = +3 \]
Thus, the oxidation state of cobalt is +3.

### Step 2: Identify the ligands and their names
- The ligands in the compound are:
- \(NH_3\) (ammine)
- \(Cl^-\) (chloro)
- \(Br^-\) (bromo)
- \(NO_2^-\) (nitro)

### Step 3: Arrange the ligands in alphabetical order
When naming the ligands, we consider the alphabetical order based on their names:
1. Amine (ammine) - starts with 'A'
2. Bromo - starts with 'B'
3. Chloro - starts with 'C'
4. Nitro - starts with 'N'

In alphabetical order, we have:
- Ammine (3 times, hence "triamine")
- Bromo
- Chloro
- Nitro

### Step 4: Combine the names of the ligands with the central metal ion
The name of the complex will be constructed as follows:
- Start with the ligands in alphabetical order: "triamine", "bromo", "chloro", "nitro".
- Then, name the central metal ion (cobalt) followed by its oxidation state in Roman numerals.

Thus, the full name becomes:
\[ \text{Triamine Bromo Chloro Nitro Cobalt(III)} \]

### Final IUPAC Name
The IUPAC name of the compound \([Co(NH_3)_3ClBrNO_2]\) is:
**Triamine Bromo Chloro Nitro Cobalt(III)**