The spin-only magnetic moment (\(\mu\)) value (B.M.) of the compound with the strongest oxidising power among \(Mn_2O_3\), \(TiO\), and \(VO\) is ……. B.M. (Nearest integer).
The magnetic moment (\(\mu\)) is given by: \[ \mu = \sqrt{n(n+2)} { B.M.} \] where \( n \) is the number of unpaired electrons.
- \( Mn_2O_3 \): Mn oxidation state is \( +3 \) (\(d^4\)), unpaired electrons = 4.
- \( TiO \): Ti oxidation state is \( +2 \) (\(d^2\)), unpaired electrons = 2.
- \( VO \): V oxidation state is \( +2 \) (\(d^3\)), unpaired electrons = 3.
Since \( Mn_2O_3 \) has the highest oxidation state and strongest oxidising power, we calculate: \[ \mu = \sqrt{4(4+2)} = \sqrt{24} \approx 4.9 \] Rounding to the nearest integer, the answer is 4 B.M.
(b) If \( \vec{L} \) is the angular momentum of the electron, show that:
\[ \vec{\mu} = -\frac{e}{2m} \vec{L} \]
The sum of the spin-only magnetic moment values (in B.M.) of $[\text{Mn}(\text{Br})_6]^{3-}$ and $[\text{Mn}(\text{CN})_6]^{3-}$ is ____.
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol$^{-1}$) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____________ \(\times 10^{-2}\). (nearest integer)
[Given : $K_{b}$ of the solvent = 5.0 K kg mol$^{-1}$]
Assume the solution to be dilute and no association or dissociation of X takes place in solution.