If EAN of a central metal ion X^-2 in a complex is 34 and atomic number of X is 28. The number of monodentet ligands present in complex are

To determine the number of monodentate ligands in a complex where the effective atomic number (EAN) of the central metal ion \(X^{-2}\) is 34 and the atomic number of \(X\) is 28, we can follow a systematic approach. The EAN is a useful concept in coordination chemistry that helps us understand the electron count around a central metal ion in a complex.

Understanding EAN

The effective atomic number (EAN) is calculated using the formula:

EAN = Z + n - m

Where:

• Z = atomic number of the metal ion
• n = number of electrons donated by the ligands
• m = charge on the metal ion

Applying the Formula

In this case:

• The atomic number \(Z\) of \(X\) is 28.
• The charge \(m\) on the metal ion \(X^{-2}\) is -2.
• The EAN is given as 34.

Substituting these values into the EAN formula gives us:

34 = 28 + n - (-2)

This simplifies to:

34 = 28 + n + 2

Which further simplifies to:

34 = 30 + n

Now, solving for \(n\):

n = 34 - 30 = 4

Determining the Number of Monodentate Ligands

Since \(n\) represents the total number of electrons donated by the ligands, and each monodentate ligand donates one pair of electrons (or two electrons), we can find the number of monodentate ligands present in the complex.

Given that each monodentate ligand contributes 2 electrons, the number of monodentate ligands \(L\) can be calculated as:

L = n / 2

Substituting the value of \(n\):

L = 4 / 2 = 2

Final Answer

Therefore, the number of monodentate ligands present in the complex is 2.

Summary

In summary, by using the EAN concept and the formula for calculating it, we determined that the central metal ion \(X^{-2}\) has 2 monodentate ligands coordinating to it. This approach not only helps in solving this specific problem but also enhances your understanding of coordination chemistry principles.