Final answer:
The formula of the coordination compound pentaamminecarbonatocobalt(III) iodide is [Co(NH3)5(CO3)]I, which features a cobalt center coordinated to five ammonia ligands and one bidentate carbonate ligand, followed by an iodide counter ion.
Step-by-step explanation:
The formula for the coordination compound called pentaamminecarbonatocobalt(III) iodide can be written by following the naming conventions for coordination compounds. First, we name the cationic part of the compound, which is the cobalt ion with its attached ligands, followed by the anion.
In this case, the cobalt ion has a +3 charge and is surrounded by five ammonia (NH3) ligands and one carbonate ion (CO3) which acts as a bidentate ligand. The overall coordination sphere is then followed by the counter ion, iodide (I-). To write the formula, start with the cobalt ion, add the ligands in alphabetical order, and then the counter ion. The formula is [Co(NH3)5(CO3)]I.
Since carbonate is a bidentate ligand, it counts as one ligand in this context despite coordinating through two donor atoms. The ammonia ligands are neutral, and the cobalt (III) indicates the oxidation state of the cobalt is +3. With all components considered, the proper formula is enclosed within square brackets for the coordination complex followed by the counter ion.