A first row transition metal with highest enthalpy of atomisation, upon reaction with oxygen at high temperature forms oxides of formula (where n = 3,4,5). The ‘spin-only’ magnetic moment value of the amphoteric oxide from the above oxides is ___ B.M.

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Solution

Q.
A first row transition metal with highest enthalpy of atomisation, upon reaction with oxygen at high temperature forms oxides of formula $M_{2} O_{n}$ (where n = 3,4,5). The ‘spin-only’ magnetic moment value of the amphoteric oxide from the above oxides is ___ B.M. (near integer)
(Given atomic number : Sc : 21, Ti : 22, V : 23, Cr : 24, Mn : 25, Fe : 26, Co : 27, Ni : 28, Cu : 29, Zn : 30) [2024]

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V has highest value of enthalpy of atomization for first transition series.

Element Sc Ti V Cr Mn Fe Co Ni Cu Zn

$∆ H_{a} (kJ {mol}^{- 1})$ 326 473 515 397 281 416 425 430 339 126

$V_{2} O_{3}$ is basic, $V_{2} O_{4}$ is less basic and $V_{2} O_{5}$ is amphoteric.

Oxidation number of V in $V_{2} O_{5}$ is + 5

$V = {}_{18}{[Ar]} 3 d^{3} 4 s^{2},$ $V^{+ 5} = {}_{18}{[Ar]}$

Number of unpaired electrons $(n)$ in $(V^{+ 5}) = 0$

Spin only magnetic moment $(μ) = \sqrt{n (n + 2)} BM = 0$

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