Question:
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)
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)
ion is ______ BM (Near integer) (Given atomic number Sc : 21, Ti : 22, V : 23, Cr : 24, Mn : 25, Fe : 26)
Updated On: Nov 25, 2024
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Correct Answer: 6
Solution and Explanation
The second ionisation enthalpy is highest for Mn, because the second ionisation removes an electron from a stable [Ar]3$d^5$ configuration, making it highly stable. The spin-only magnetic moment is calculated using the formula:
\(\mu = \sqrt{n(n+2)}{ BM} \)
For Mn, with $n = 5$ (because 3$d^5$ has 5 unpaired electrons), the magnetic moment is:
\( \mu = \sqrt{5(5+2)} = \sqrt{35} \approx 6 { BM}.\)
Thus, the correct answer is (6).
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