The `IUPAC` name of the coordination compound `Na_(3)[Ag(S_(2)O_(3))_(2)]` is
(a) Sodium silverthiosulphate (I)
(b) Sodium silverhyposulphate (I)
(c ) Sodium bis [argentothiosulphate(I)]
(d) Sodium bis (thiosulphato)argentite .

Answer

To determine the IUPAC name of the coordination compound \( \text{Na}_3[\text{Ag}(\text{S}_2\text{O}_3)_2] \), we will follow these steps:

### Step 1: Identify the components of the compound
The compound consists of:
- Sodium ions (\( \text{Na}^+ \))
- A coordination complex, which contains silver (\( \text{Ag} \)) and thiosulfate ligands (\( \text{S}_2\text{O}_3^{2-} \)).

### Step 2: Determine the charge of the coordination complex
The overall charge of the compound is neutral. The sodium ions contribute a charge of \( +3 \) (since there are three \( \text{Na}^+ \) ions). Therefore, the charge of the coordination complex must be \( -3 \) to balance it out.

### Step 3: Analyze the ligands
The thiosulfate ligand (\( \text{S}_2\text{O}_3^{2-} \)) has a charge of \( -2 \). Since there are two thiosulfate ligands, the total contribution from the ligands is \( -4 \).

### Step 4: Calculate the oxidation state of silver
Let the oxidation state of silver be \( x \).
The equation based on the charges will be:
\[ x + 2(-2) = -3 \]
\[ x - 4 = -3 \]
\[ x = +1 \]
Thus, the oxidation state of silver in this complex is \( +1 \).

### Step 5: Naming the ligands
The ligand \( \text{S}_2\text{O}_3^{2-} \) is called thiosulfate. Since there are two of them, we use the prefix "bis" to indicate this in the name.

### Step 6: Naming the metal
The silver ion in the coordination complex is named argentate, and since its oxidation state is \( +1 \), we denote this in the name.

### Step 7: Construct the full name
The full IUPAC name starts with the cation (sodium), followed by the ligands (with the appropriate prefix), and finally the metal with its oxidation state:
- Sodium (from \( \text{Na}^+ \))
- Bis(thiosulfato) (from the two thiosulfate ligands)
- Argentate (from \( \text{Ag} \) with oxidation state \( +1 \))

Putting it all together, the IUPAC name is:
\[ \text{Sodium bis(thiosulfato)argentate(I)} \]

### Final Answer
The correct option is:
(d) Sodium bis(thiosulfato)argentate(I)

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