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The disproportionation of $M n O_{4}^{2 -}$ in acidic medium resultant in the formation of two manganese compounds A and B. If the oxidation state of Mn is B is smaller than that of A, then the spin-only magnetic moment $(μ)$ value of B in BM is___________.

(Nearest integer)

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Raj Pandey | Contributor-Level 9

3 weeks ago

$M n O_{4}^{- 2} \to A + B$

Oxidation state of Mn in B < A

$M n O_{4}^{- 2} + H^{+} \to M n O_{4}^{-} + M n O_{2}$

B is MnO₂

$∴$ Oxidation state of Mn = +4

$∴_{25} M n^{+ 4} = 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{0} 3 d^{3}$

$∴$ unpaired electron = 3

Spin only magnetic moment $(μ)$

...more

$M n O_{4}^{- 2} \to A + B$

Oxidation state of Mn in B < A

$M n O_{4}^{- 2} + H^{+} \to M n O_{4}^{-} + M n O_{2}$

B is MnO₂

$∴$ Oxidation state of Mn = +4

$∴_{25} M n^{+ 4} = 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{0} 3 d^{3}$

$∴$ unpaired electron = 3

Spin only magnetic moment $(μ)$

$= \sqrt[]{n (n + 2)} = \sqrt[]{3 (3 + 2)} = \sqrt[]{15}$

$= 3.87 \approx 4$

less

<math> <mrow> <mi>M</mi> <mi>n</mi> <msubsup> <mrow> <mi>O</mi> </mrow> <mrow> <mn>4</mn> </mrow> <mrow> <mo>−</mo> <mn>2</mn> </mrow> </msubsup> <mo>→</mo> <mi>A</mi> <mo>+</mo> <mi>B</mi> </mrow> </math>                Oxidation state of Mn in B < A               <math> <mrow> <mi>M</mi> <mi>n</mi> <msubsup> <mrow> <mi>O</mi> </mrow> <mrow> <mn>4</mn> </mrow> <mrow> <mo>−</mo> <mn>2</mn> </mrow> </msubsup> <mo>+</mo> <msup> <mrow> <mi>H</mi> </mrow> <mrow> <mo>+</mo> </mrow> </msup> <mo>→</mo> <mi>M</mi> <mi>n</mi> <msubsup> <mrow> <mi>O</mi> </mrow> <mrow> <mn>4</mn> </mrow> <mrow> <mo>−</mo> </mrow> </msubsup> <mo>+</mo> <mi>M</mi> <mi>n</mi> <msub> <mrow> <mi>O</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </math>                B is MnO2              <math> <mrow> <mo>∴</mo> </mrow> </math> <img src="file:///C:/Users/RAJ~1.PAN/AppData/Local/Temp/msohtmlclip1/01/clip_image006.png" width="13" height="13"> Oxidation state of Mn = +4              <math> <mrow> <msub> <mrow> <mo>∴</mo> </mrow> <mrow> <mn>2</mn> <mn>5</mn> </mrow> </msub> <mi>M</mi> <msup> <mrow> <mi>n</mi> </mrow> <mrow> <mo>+</mo> <mn>4</mn> </mrow> </msup> <mo>=</mo> <mn>1</mn> <msup> <mrow> <mi>s</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mn>2</mn> <msup> <mrow> <mi>s</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mn>2</mn> <msup> <mrow> <mi>p</mi> </mrow> <mrow> <mn>6</mn> </mrow> </msup> <mn>3</mn> <msup> <mrow> <mi>s</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mn>3</mn> <msup> <mrow> <mi>p</mi> </mrow> <mrow> <mn>6</mn> </mrow> </msup> <mn>4</mn> <msup> <mrow> <mi>s</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msup> <mn>3</mn> <msup> <mrow> <mi>d</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </mrow> </math>                <math> <mrow> <mo>∴</mo> </mrow> </math> <img src="file:///C:/Users/RAJ~1.PAN/AppData/Local/Temp/msohtmlclip1/01/clip_image006.png" width="13" height="13"> unpaired electron = 3              Spin only magnetic moment <math> <mrow> <mrow> <mo>(</mo> <mrow> <mi>μ</mi> </mrow> <mo>)</mo> </mrow> </mrow> </math>                <math> <mrow> <mo>=</mo> <mroot> <mrow> <mi>n</mi> <mrow> <mo>(</mo> <mrow> <mi>n</mi> <mo>+</mo> <mn>2</mn> </mrow> <mo>)</mo> </mrow> </mrow> <mrow></mrow> </mroot> <mo>=</mo> <mroot> <mrow> <mn>3</mn> <mrow> <mo>(</mo> <mrow> <mn>3</mn> <mo>+</mo> <mn>2</mn> </mrow> <mo>)</mo> </mrow> </mrow> <mrow></mrow> </mroot> <mo>=</mo> <mroot> <mrow> <mn>1</mn> <mn>5</mn> </mrow> <mrow></mrow> </mroot> </mrow> </math>                <math> <mrow> <mo>=</mo> <mn>3</mn> <mo>.</mo> <mn>8</mn> <mn>7</mn> <mo>≈</mo> <mn>4</mn> </mrow> </math>

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The disproportionation of $M n O_{4}^{2 -}$ in acidic medium resultant in the formation of two manganese compounds A and B. If the oxidation state of Mn is B is smaller than that of A, then the spin-only magnetic moment $(μ)$ value of B in BM is___________.

(Nearest integer)

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The disproportionation of M n O 4 2 − in acidic medium resultant in the formation of two manganese compounds A and B. If the oxidation state of Mn is B is smaller than that of A, then the spin-only magnetic moment ( μ ) value of B in BM is___________. (Nearest integer)

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The disproportionation of $M n O_{4}^{2 -}$ in acidic medium resultant in the formation of two manganese compounds A and B. If the oxidation state of Mn is B is smaller than that of A, then the spin-only magnetic moment $(μ)$ value of B in BM is___________.

(Nearest integer)