Spin only magnetic moment of V³⁺ is equal to

Step-by-Step Explanation:

To calculate the magnetic moment of the V³⁺ ion, we need to use the formula for magnetic moment:

 μ = √[n(n + 2)] B.M.
 

Where n is the number of unpaired electrons.

Oxidation State of V:

V (Vanadium) has an atomic number of 23.

V³⁺ means that the Vanadium atom has lost 3 electrons, so its electron configuration will be:

V³⁺: [Ar] 3d²

This means there are 2 unpaired electrons in the 3d orbital.

Using the formula μ = √[n(n + 2)], where n = 2 (the number of unpaired electrons):

 μ = √[2(2 + 2)] = √[2 × 4] = √8 = 2.828 B.M.
 

Final Answer

The magnetic moment of V³⁺ is approximately 2.82 B.M.