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Magnetic moment, ionic conductance and c...

Magnetic moment, ionic conductance and colligative properties are useful in deciding structure/constitution of a given unknown complex compound.
Q. The cyano complex that exhibit highest value of paramagnetism is:

A

`[Mn(CN)_(6)]^(4-)`

B

`[Co(CN)_(6)]^(3-)`

C

`[Fe(CN)_(6)]^(3-)`

D

`[Cr(CN)_(6)]^(3-)`

Text Solution

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The correct Answer is:
To determine which cyano complex exhibits the highest value of paramagnetism, we need to analyze the oxidation states of the central metal atoms and their electronic configurations when they form complexes with cyanide (CN) ligands. ### Step-by-Step Solution: 1. **Identify the Oxidation States of the Metal Ions**: - For the complex ions, the oxidation state of CN is -1 (as it is a negative ligand). - Thus, we can determine the oxidation states for the metals: - Manganese (Mn) in [Mn(CN)₆]²⁻: Oxidation state = +2 - Cobalt (Co) in [Co(CN)₆]³⁻: Oxidation state = +3 - Iron (Fe) in [Fe(CN)₆]³⁻: Oxidation state = +3 - Chromium (Cr) in [Cr(CN)₆]³⁻: Oxidation state = +3 2. **Determine the Electronic Configurations**: - For Mn²⁺: Electronic configuration = [Ar] 3d⁵ - For Co³⁺: Electronic configuration = [Ar] 3d⁶ - For Fe³⁺: Electronic configuration = [Ar] 3d⁵ - For Cr³⁺: Electronic configuration = [Ar] 3d³ 3. **Analyze the D-Orbital Filling**: - **[Mn(CN)₆]²⁻**: - 3d⁵ configuration with CN being a strong field ligand leads to low-spin configuration. - After pairing, there is 1 unpaired electron. - **[Co(CN)₆]³⁻**: - 3d⁶ configuration with CN being a strong field ligand leads to low-spin configuration. - After pairing, there are 0 unpaired electrons. - **[Fe(CN)₆]³⁻**: - 3d⁵ configuration with CN being a strong field ligand leads to low-spin configuration. - After pairing, there is 1 unpaired electron. - **[Cr(CN)₆]³⁻**: - 3d³ configuration with CN being a strong field ligand leads to low-spin configuration. - There are 3 unpaired electrons. 4. **Determine the Paramagnetism**: - Paramagnetism is directly related to the number of unpaired electrons: - [Mn(CN)₆]²⁻: 1 unpaired electron - [Co(CN)₆]³⁻: 0 unpaired electrons - [Fe(CN)₆]³⁻: 1 unpaired electron - [Cr(CN)₆]³⁻: 3 unpaired electrons 5. **Conclusion**: - The cyano complex that exhibits the highest value of paramagnetism is **[Cr(CN)₆]³⁻**, as it has 3 unpaired electrons.
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