Thus, the correct complex is [Cr(H₂O)₅Cl]Cl₂·H₂O, making option (C) the correct answer.
In this reaction, the amount of AgCl formed indicates how many chloride ions are present in the complex. The formation of 2.86 g of AgCl corresponds to a certain number of moles of chloride ions. Since each chloride ion from the complex reacts with Ag⁺ to form AgCl, the number of moles of AgCl will help determine the composition of the complex. Based on the mole calculations, the complex is determined to be [Cr(H₂O)₅Cl]Cl₂·H₂O.