Solveeit Logo

Question

Chemistry Question on Enthalpy change

A transition metal 'M' among Sc, Ti, V , Cr, Mn and Fe has the highest second ionisation enthalpy. The spin only magnetic moment value of M+
ion is ______ BM (Near integer) (Given atomic number Sc : 21, Ti : 22, V : 23, Cr : 24, Mn : 25, Fe : 26)

Answer

The second ionisation enthalpy is highest for Mn, because the second ionisation removes an electron from a stable [Ar]3d5d^5 configuration, making it highly stable. The spin-only magnetic moment is calculated using the formula:
μ=n(n+2)BM\mu = \sqrt{n(n+2)}{ BM}
For Mn, with n=5n = 5 (because 3d5d^5 has 5 unpaired electrons), the magnetic moment is:
μ=5(5+2)=356BM.\mu = \sqrt{5(5+2)} = \sqrt{35} \approx 6 { BM}.
Thus, the correct answer is (6).

Explanation

Solution

The second ionisation enthalpy is highest for Mn, because the second ionisation removes an electron from a stable [Ar]3d5d^5 configuration, making it highly stable. The spin-only magnetic moment is calculated using the formula:
μ=n(n+2)BM\mu = \sqrt{n(n+2)}{ BM}
For Mn, with n=5n = 5 (because 3d5d^5 has 5 unpaired electrons), the magnetic moment is:
μ=5(5+2)=356BM.\mu = \sqrt{5(5+2)} = \sqrt{35} \approx 6 { BM}.
Thus, the correct answer is (6).