Which of the following statements are correct regarding `[Fe(H_(2)O)_(5)NO]SO_(4)` ?

Options

A. It gives a brown ring test for nitrates.
B. Oxidation number of Fe is +1
C. Charge on NO is +1.
D. Coordination number of Fe is 6.

Answer

To determine which statements are correct regarding the compound \([Fe(H_2O)_5NO]SO_4\), we will analyze the oxidation state of iron (Fe), the charge on the nitric oxide (NO) ligand, the coordination number of Fe, and whether it gives a brown ring test for nitrates.

### Step-by-Step Solution:

1. **Identify the Components of the Compound:**
The compound can be broken down into its components:
\[ [Fe(H_2O)_5NO]^{2+} \quad \text{and} \quad SO_4^{2-} \]
Here, \([Fe(H_2O)_5NO]^{2+}\) is the cation and \(SO_4^{2-}\) is the anion.

2. **Determine the Oxidation State of Iron (Fe):**
Let the oxidation state of Fe be \(x\). The contributions to the charge from the ligands are as follows:
- Water (\(H_2O\)) is neutral, contributing \(0\).
- Nitric oxide (\(NO\)) has a charge of \(+1\).

The overall charge of the complex ion is \(+2\):
\[ x + 0 + 1 = +2 \]
Solving for \(x\):
\[ x + 1 = 2 \implies x = +1 \]
Thus, the oxidation state of Fe is \(+1\).

3. **Determine the Charge on Nitric Oxide (NO):**
As calculated above, the charge on the nitric oxide ligand is \(+1\).

4. **Determine the Coordination Number of Iron (Fe):**
The coordination number is the total number of ligand bonds to the central metal atom. In this case:
- There are 5 water molecules (\(H_2O\)) contributing \(5\) to the coordination number.
- There is 1 nitric oxide (\(NO\)) contributing \(1\) to the coordination number.

Therefore, the coordination number of Fe is:
\[ 5 + 1 = 6 \]

5. **Check for the Brown Ring Test:**
The brown ring test is a qualitative test for the presence of nitrate ions (\(NO_3^-\)). The complex \([Fe(H_2O)_5NO]^{2+}\) can give a brown ring test when treated with a reagent like Nessler's reagent (\(K_2HgI_4\)). Therefore, it does indeed give a brown ring test for nitrates.

### Summary of Findings:
- The oxidation state of Fe is \(+1\).
- The charge on NO is \(+1\).
- The coordination number of Fe is \(6\).
- It gives a brown ring test for nitrates.

### Conclusion:
All the statements regarding \([Fe(H_2O)_5NO]SO_4\) are correct.