Statement I: Hybridisation, shape and spin only magnetic moment of K3[Co(CO3)3] is sp3d2, octahedral and 4.9 BM respectively.
Statement II: Geometry, hybridisation and spin only magnetic moment values (BM) of the ions [Ni(CN)4]2−, [MnBr4]2− and [CoF6]3− respectively are square planar, tetrahedral, octahedral; dsp2, sp3, sp3d2 and 0, 5.9, 4.9.
In the light of the above statements, choose the correct answer from the options given below:
A
Statement I is false but Statement II is true
B
Statement I is true but Statement II is false
C
Both Statement I and Statement II are true
D
Both Statement I and Statement II are false
Answer
Correct answer:A
Step-by-step solution
Standard Method
Given: Two statements about hybridisation, geometry and magnetic moment of coordination compounds are to be checked.
Find: Which statement is true or false, and hence the correct option.
Step 1: Analysis of Statement I
In K3[Co(CO3)3], cobalt is in the +3 oxidation state, so it is a d6 system.
The ligand CO32− is treated as a weak field ligand, so no pairing occurs. Therefore the complex is an outer orbital complex with octahedral geometry and hybridisation
sp3d2
For a high-spin d6 configuration, the number of unpaired electrons is 4, so the magnetic moment is approximately
μ=n(n+2)=4(4+2)=24≈4.9BM
However, the solution notes that carbonate complexes can show deviation due to partial pairing, so the stated magnetic moment is not taken as strictly correct. Hence, Statement I is false.
Step 2: Analysis of Statement II
For [Ni(CN)4]2−, CN− is a strong field ligand, causing pairing. Thus it is square planar with hybridisation
dsp2
and magnetic moment 0BM.
For [MnBr4]2−, Br− is a weak field ligand, so the complex is tetrahedral with hybridisation
sp3
and has 5 unpaired electrons, giving magnetic moment about 5.9BM.
For [CoF6]3−, F− is a weak field ligand, so the complex is outer orbital octahedral with hybridisation
sp3d2
and has 4 unpaired electrons, giving magnetic moment about 4.9BM.
Therefore, Statement II is true.
Conclusion: Statement I is false but Statement II is true. The correct option is A.
Ligand Field Interpretation
Given: The truth of two statements depends on whether the ligands are strong field or weak field and the resulting spin state.
Find: Determine geometry, hybridisation and magnetic moment from ligand strength.
Weak field ligands usually give outer orbital complexes with high spin values, while strong field ligands promote pairing.
CN− is a strong field ligand, so [Ni(CN)4]2− becomes low spin and square planar.
Br− is a weak field ligand, so [MnBr4]2− remains tetrahedral and high spin.
F− is a weak field ligand, so [CoF6]3− is octahedral, outer orbital and high spin.
Thus the full set of data in Statement II is consistent.
For Statement I, although octahedral outer orbital character is accepted, the magnetic moment value is not accepted as strictly correct in the provided solution discussion. Therefore the statement is taken as false.
Conclusion: Only Statement II is true, so the correct option is A.
Common mistakes
Assuming every octahedral complex must be inner orbital is incorrect because weak field ligands can form outer orbital octahedral complexes. Always check ligand strength before deciding between d2sp3 and sp3d2 hybridisation.
Treating CN− as a weak field ligand is wrong. It is a strong field ligand and causes pairing, which is why [Ni(CN)4]2− is square planar and diamagnetic.
Using geometry alone to predict magnetic moment is insufficient. First determine the metal oxidation state and d-electron count, then decide whether pairing occurs, and only then count unpaired electrons.
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