Step 1: Understanding the complex salt.
The compound \([\mathrm{Co(NH_3)_4Cl_2}]Cl\) contains one chloride ion outside the coordination sphere and two chloride ions inside the coordination sphere.
Step 2: Reaction with silver nitrate.
Only the chloride ion present outside the coordination sphere is free and can react with aqueous silver nitrate to form silver chloride precipitate.
Step 3: Counting precipitable chloride ions.
Since there is only one free \( \mathrm{Cl^-} \) ion, only one mole of AgCl will be formed per mole of the complex.
Step 4: Conclusion.
Therefore, the number of moles of silver chloride precipitated is 1.0 mole.