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Solution


Q.

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 ______. B.M. (Near integer) (Given atomic number Sc : 21, Ti : 22, V : 23, Cr : 24, Mn : 25, Fe : 26)                   [2024]

Ans.

(6)

   Second ionization energy increases from left to right in periodic table.

Metal Sc Ti V Cr Mn Fe Co Ni Cu Zn
Second
ionization
energy
(kJ/mol)		 1235 1309 1414 1592 1509 1561 1644 1752 1958 1734

    Cr has more second ionization energy than Mn and Fe because the electron is removed from stable d5 configuration.

    Cr24([Ar]183d54s1)→IE1Cr+([Ar]183d5)→IE2Cr2+([Ar]183d4)

    Thus the metal M is Cr. Number of unpaired electrons in Cr+(n) = 5.

    Spin only magnetic moment

    (μ)=n(n+2) BM=5(5+2) BM=5.92 BM