Final answer:
The closest option to this is A. 6 mL. The volume of AgNO₃ required is 3 mL.
Step-by-step explanation:
To find the volume of 0.1 M AgNO₃ required for the complete precipitation of chloride ions, we need to determine the number of moles of chloride ions present in the solution of [Cr(H₂O)₅Cl]Cl₂. This can be done using the concentration and volume of the [Cr(H₂O)₅Cl]Cl₂ solution:
Number of moles of chloride ions = concentration of [Cr(H₂O)₅Cl]Cl₂ x volume of [Cr(H₂O)₅Cl]Cl₂ solution
= 0.01 mol/L x 0.03 L = 0.0003 mol
Since the reaction between chloride ions and silver nitrate is 1:1, the number of moles of AgNO₃ required will be the same as the number of moles of chloride ions. Therefore, we need 0.0003 mol of AgNO₃.
The volume of AgNO₃ can be calculated using its concentration:
Volume of AgNO₃ = number of moles of AgNO₃ / concentration of AgNO₃
= 0.0003 mol / 0.1 mol/L = 0.003 L = 3 mL
Therefore, the volume of 0.1 M AgNO₃ required for the complete precipitation of chloride ions is 3 mL. The closest option to this is A. 6 mL.