`Na_(2)S+Na_(2)[Fe(CN)_(5)NO]rarrNa_(4)[Fe(NH)_(5)nos],` oxidation number of Fe in reactant ( complex ) and product ( complex) are `:`

Options

A. `2,1`
B. `2,2`
C. `2,3`
D. `3,3`

Explanation

To determine the oxidation numbers of iron (Fe) in the reactant and product complexes, we can follow these steps:

### Step 1: Identify the reactant complex and its components
The reactant complex is \( \text{Na}_2[\text{Fe(CN)}_5\text{NO}] \).

### Step 2: Assign oxidation states in the reactant complex
- Let the oxidation state of Fe be \( x \).
- The cyanide ion (CN) has a charge of -1, and since there are 5 CN groups, their total contribution is \( 5 \times (-1) = -5 \).
- The nitrosyl ion (NO) has a charge of +1.

The overall charge of the complex is -2 (since it is part of the sodium salt, which balances the +2 charge from 2 sodium ions). Thus, we can set up the equation:

\[ x + (-5) + (+1) = -2 \]

### Step 3: Solve for \( x \)
Rearranging the equation gives:

\[ x - 4 = -2 \implies x = +2 \]

So, the oxidation state of Fe in the reactant \( \text{Na}_2[\text{Fe(CN)}_5\text{NO}] \) is +2.

### Step 4: Identify the product complex and its components
The product complex is \( \text{Na}_4[\text{Fe(NH}_5\text{NO})] \).

### Step 5: Assign oxidation states in the product complex
- Let the oxidation state of Fe in the product be \( y \).
- The ammine ion (NH) has a charge of -1, and since there are 5 NH groups, their total contribution is \( 5 \times (-1) = -5 \).
- The nitrosyl ion (NO) again has a charge of +1.

The overall charge of the complex is -1 (since it is part of the sodium salt, which balances the +4 charge from 4 sodium ions). Thus, we can set up the equation:

\[ y + (-5) + (+1) = -1 \]

### Step 6: Solve for \( y \)
Rearranging the equation gives:

\[ y - 4 = -1 \implies y = +2 \]

So, the oxidation state of Fe in the product \( \text{Na}_4[\text{Fe(NH}_5\text{NO})] \) is also +2.

### Conclusion
The oxidation number of Fe in both the reactant and product complexes is +2.

### Final Answer
The oxidation numbers of Fe in the reactant and product complexes are both +2.

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