Understanding the Complex
The complex in question is [CoL2Cl2]*(-1), where L represents the bidentate ligand H2NCH2CH2O*(-1). Cobalt (Co) typically exhibits a coordination number of 6, allowing for octahedral geometry in its complexes.

Identifying the Ligands
- Bidentate Ligand (L): The ligand L can coordinate through both the amino (NH2) and hydroxyl (OH) groups.
- Chloride Ligands (Cl): There are two chloride ligands (Cl) that are monodentate.

Geometrical Isomerism
In octahedral complexes, geometrical isomerism occurs because of the different arrangements of ligands. The two types of isomerism that can be observed are:
- **Facial (fac) Isomer**: The two L ligands and two Cl ligands are adjacent to each other.
- **Meridional (mer) Isomer**: The two L ligands and two Cl ligands are positioned such that one of each is on the same plane.

Calculating the Isomers
For the complex [CoL2Cl2]*(-1):
1. **Facial Isomer**: L ligands occupy positions 1, 2, 3 and Cl ligands occupy positions 4, 5, 6.
2. **Meridional Isomer**: L ligands occupy positions 1, 2, and Cl ligands occupy positions 3, 4.

Total Geometrical Isomers
- The complex can exhibit **two distinct geometrical isomers**: one fac and one mer.

Conclusion
Therefore, the possible number of geometrical isomers for the complex [CoL2Cl2]*(-1) is **2**. This illustrates the significance of ligand arrangement in determining the isomeric forms of coordination compounds.

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