To determine which mixture of solutions will form a negatively charged colloidal (AgI)I^− sol, we need to consider the principle of excess reactant leading to charged colloids:
When silver iodide (AgI) is formed, it can exist as a colloidal particle either with a positive charge or a negative charge, depending on the excess of Ag^+ or I^− ions.
If there is an excess of iodide ions (I^−), the colloidal particle will get a negative charge, forming (AgI)I^−.
To form negatively charged colloidal sol (AgI)I^−, iodide concentration must be greater than the silver ion concentration.
Let's analyze the options:
Option 1: 50 mL of 2 M {AgNO_3} + 50 mL of 1.6 M KI: Here, moles of {Ag^+} = 0.1, moles of I^− = 0.08. {Ag^+} is in excess, resulting in a positively charged sol.
Option 2: 50 mL of 0.1 M {AgNO_3} + 50 mL of 0.1 M KI: Moles are equal here, so it is neutral or can depend on minor ion presence.
Option 3: 50 mL of 1 M {AgNO_3} + 50 mL of 1.5 M KI: Moles of {Ag^+} = 0.05 and moles of I^− = 0.075. I^− is in excess, could form negatively charged sol.
Option 4: 50 mL of 1 M {AgNO_3} + 50 mL of 2 M KI: Moles of {Ag^+} = 0.05 and moles of I^− = 0.10. Clearly, I^− is in excess, leading to the formation of a negatively charged sol, (AgI)I^−.
Upon comparison, Option 4 provides a greater excess of iodide ions compared to silver ions, favoring the formation of a negatively charged colloidal sol of (AgI)I^−.
Therefore, the correct answer is:
50 mL of 1 M {AgNO_3} + 50 mL of 2 M KI