Solution
Related Formula
Spin-only magnetic moment (μ) is given by:
μ = √(n(n+2))~BMwhere n is the number of unpaired d-electrons.
Core Logic
Enthalpies of atomization of the given 3d transition elements (in kJ/mol):
- Scandium (Sc): 326
- Manganese (Mn): 281
- Cobalt (Co): 425
- Copper (Cu): 339
Thus, Cobalt (Co) has the highest enthalpy of atomization.
Step 1: Determine unpaired electrons in Co²⁺
Electronic configuration of Cobalt (Z=27):
Co: [Ar] 3d⁷ 4s²For divalent Cobalt ion (Co²⁺):
Co²⁺: [Ar] 3d⁷In the d-subshell (five orbitals):
- Three orbitals are paired, and three are unpaired (n=3).
Step 2: Calculate spin-only magnetic moment
μ = √(3(3+2)) = √(15) ≈ 3.87~BMRounding to the nearest integer gives 4.
Pattern Recognition
Enthalpy of atomization generally peaks near the middle of transition series due to maximum metallic bonding. However, Mn (3d⁵ 4s²) is an anomaly with an exceptionally low value (281~kJ/mol) due to its highly stable half-filled d⁵ subshell configuration which reduces electron delocalization in metallic bonding.
Chapter Mix
Class 12 Chemistry: The d-and f-Block Elements