Write the formula for each of the following compounds, being sure to use brackets to indicate the coordination sphere.

1) bis(bipyridyl)cadmium(II) chloride

2)potassium tetrabromo(ortho-phenanthroline)- cobaltate(III)

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[Cd(bipy)_2]Cl_

To write the formula for each compound, we need to follow a few steps:

1) Identify the central metal ion and its charge.
2) Determine the ligands and their names.
3) Determine the number of ligands and indicate it using prefixes.
4) Write the chemical formula using the appropriate symbols and brackets to indicate the coordination sphere.

Let's go through each compound:

1) bis(bipyridyl)cadmium(II) chloride:
- The central metal ion is cadmium(II), which has a +2 charge.
- The ligand is bipyridyl, which is a bidentate ligand (it binds with the metal ion through two lone pairs on each pyridyl ring).
- There are two bipyridyl ligands, so we use the prefix "bis."
- Finally, we add chloride as another ligand.
Putting it all together:
- Formula: [Cd(bipyridyl)_2]Cl_2

2) potassium tetrabromo(ortho-phenanthroline)-cobaltate(III):
- The central metal ion is cobaltate(III), which has a +3 charge.
- The ligand is ortho-phenanthroline, which has two ortho positions of the phenanthroline ring occupied by bromine atoms.
- There are four bromine atoms attached to the ligand, so we use the prefix "tetrabromo."
- Finally, we add potassium as a counterion (not part of the coordination sphere).
Putting it all together:
- Formula: K[Co(tetrabromo-ortho-phenanthroline)]3