The compound \(\mathrm{CoCl}_{2} \cdot 2 \mathrm{H}_{2} \mathrm{O} \cdot 4
\mathrm{NH}_{3}\) may be one of
the hydrate isomers \(\left[\mathrm{CoCl}\left(\mathrm{H}_{2}
\mathrm{O}\right)\left(\mathrm{NH}_{3}\right)_{4}\right] \mathrm{Cl} \cdot
\mathrm{H}_{2} \mathrm{O}\) or
\(\left[\mathrm{Co}\left(\mathrm{H}_{2}
\mathrm{O}\right)_{2}\left(\mathrm{NH}_{3}\right)_{4}\right] \mathrm{Cl}_{2}
.\) A \(0.10 \mathrm{M}\) aqueous solution of the compound is found to have a
freezing point of \(-0.56^{\circ} \mathrm{C} .\) Determine the correct formula
of the compound. The freezing-point depression constant for water is \(1.86
\mathrm{mol}\) \(\mathrm{kg}^{-1}\) \(^{\circ} \mathrm{C}\), and for aqueous
solutions, molarity and molality can be taken as approximately equal.