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Correct answer: 5
Step-by-step Derivation:
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Analyze the Complex and its Components:
- The complex is .
- The central metal atom is Cobalt (Co).
- The ligand L is (2-aminoethoxide or ethanolaminate). This is an unsymmetrical bidentate ligand because its donor atoms are different: Nitrogen (N) from the amino group and Oxygen (O) from the ethoxide group. We can represent it as
(N-O). - The other ligand is (chloro), which is a monodentate ligand.
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Determine the Oxidation State and Coordination Number of Cobalt:
- Let the oxidation state of Co be
x. - The charge of ligand L is -1.
- The charge of the Cl ligand is -1.
- The overall charge of the complex is -1.
- Therefore, the equation for the oxidation state is:
x + 2*(-1) + 2*(-1) = -1 x - 4 = -1=>x = +3. The oxidation state of cobalt is+3.- The coordination number is determined by the number of donor atoms bonded to the central metal. Ligand L is bidentate (2 donor atoms), and there are two L ligands. The Cl ligand is monodentate, and there are two Cl ligands.
- Coordination Number =
2 * (2) + 2 * (1) = 6.
- Let the oxidation state of Co be
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Determine the Geometry of the Complex:
- A coordination number of 6 for a ion like
Co(III)typically results in an octahedral geometry. - The complex can be represented as , where
M=Co,AB=L, andX=Cl.
- A coordination number of 6 for a ion like
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Identify Possible Geometrical Isomers: We can classify the isomers based on the relative positions of the two chloro ligands.
Case 1:
trans-dichloro isomers The twoClligands are opposite to each other (180° apart). The two bidentate(N-O)ligands must occupy the four remaining equatorial positions. There are two ways to arrange the unsymmetrical(N-O)ligands in the equatorial plane:-
Isomer 1: The two nitrogen atoms are
transto each other, and the two oxygen atoms are alsotransto each other. This can be described astrans(Cl,Cl),trans(N,N),trans(O,O). This isomer is achiral. -
Isomer 2: The two nitrogen atoms are
cisto each other, and the two oxygen atoms are alsocisto each other. This can be described astrans(Cl,Cl),cis(N,N),cis(O,O). This isomer is chiral.
Thus, there are 2 geometrical isomers where the chloro ligands are
trans.Case 2:
cis-dichloro isomers The twoClligands are adjacent to each other (90° apart). We can now arrange the two(N-O)ligands in the remaining four positions. This leads to three different arrangements based on the relative positions of the N and O donor atoms.-
Isomer 3: The two nitrogen atoms are
cisto each other, and the two oxygen atoms aretransto each other. This can be described ascis(Cl,Cl),cis(N,N),trans(O,O). This isomer is chiral. -
Isomer 4: The two nitrogen atoms are
transto each other, and the two oxygen atoms arecisto each other. This can be described ascis(Cl,Cl),trans(N,N),cis(O,O). This isomer is chiral. -
Isomer 5: The two nitrogen atoms are
cisto each other, and the two oxygen atoms are alsocisto each other. This can be described ascis(Cl,Cl),cis(N,N),cis(O,O). This isomer is also chiral.
Thus, there are 3 geometrical isomers where the chloro ligands are
cis. -
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Calculate the Total Number of Geometrical Isomers: The total number of possible geometrical isomers is the sum of the isomers from both cases. Total isomers = (Number of
trans-isomers) + (Number ofcis-isomers) Total isomers =2 + 3 = 5.
Conclusion:
The complex (where L is the unsymmetrical bidentate ligand ) has a total of 5 possible geometrical isomers.
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