When cobalt(II) chloride (CoCl\(_2\)) reacts with excess ammonia (NH\(_3\)), it forms a coordination complex. The formation of 1 mole of AgCl upon adding AgNO\(_3\) indicates that there is 1 chloride ion as a counterion outside the coordination sphere. The complex formed is [Co(NH\(_3\))\(_6\)]Cl\(_2\), which contains 6 ammonia molecules as ligands and 2 chloride ions as counterions.
- (A) is the correct compound, as the excess NH\(_3\) displaces the chloride ions to form a complex with 6 ammonia ligands.
The other options have incorrect stoichiometry or incorrect coordination numbers.