If E.A.N. of central metal cation `M^(2+)` in a non-chelating complex is 36 and atomic no. of metal M is 26, then the number of monodentate ligand is in this complex are:

Options

A. 5
B. 4
C. 6
D. none of these

Answer

To solve the problem step by step, we will use the Effective Atomic Number (EAN) formula. The EAN is calculated using the following formula:

\[ \text{EAN} = Z - n + 2x \]

Where:
- \( Z \) = Atomic number of the metal
- \( n \) = Charge on the metal ion
- \( x \) = Number of monodentate ligands

Given:
- EAN = 36
- Atomic number of metal \( M \) = 26
- Charge on metal \( M^{2+} \) = +2

### Step 1: Write down the EAN formula
Using the EAN formula:
\[ \text{EAN} = Z - n + 2x \]

### Step 2: Substitute known values
Substituting the known values into the formula:
\[ 36 = 26 - 2 + 2x \]

### Step 3: Simplify the equation
Now simplify the equation:
\[ 36 = 26 - 2 + 2x \]
\[ 36 = 24 + 2x \]

### Step 4: Isolate the term with \( x \)
Now, isolate \( 2x \):
\[ 36 - 24 = 2x \]
\[ 12 = 2x \]

### Step 5: Solve for \( x \)
Now, divide both sides by 2 to find \( x \):
\[ x = \frac{12}{2} \]
\[ x = 6 \]

### Conclusion
The number of monodentate ligands in the complex is **6**.

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