To determine the number of moles of AgCl precipitated, let's first understand the chemical reaction involved.
The compound dichlorotetraaquachromium(III) chloride has the formula [Cr(H2O)4Cl2]Cl. When dissolved in water, it dissociates as follows:
[\text{Cr}(\text{H}_2\text{O})_4\text{Cl}_2]^+\text{Cl}^− \rightarrow [\text{Cr}(\text{H}_2\text{O})_4\text{Cl}_2]^+ + \text{Cl}^−
Each dichlorotetraaquachromium(III) complex molecule releases 1 Cl- ion. These Cl- ions react with AgNO3 to form AgCl:
\text{Ag}^+ + \text{Cl}^- \rightarrow \text{AgCl} \downarrow
Now, calculate using the provided data:
Given an excess of AgNO3, all Cl- ions will react to form AgCl precipitate.
Thus, the number of moles of AgCl precipitated = number of moles of Cl- ions = 0.001 mol.
Therefore, the correct answer is 0.001.