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A 1.00 *10^-3 mol L-1 solution of NaCl (aq) was added slowly to 50.0 mL of a wel

ID: 514785 • Letter: A

Question

A 1.00 *10^-3 mol L-1 solution of NaCl (aq) was added slowly to 50.0 mL of a well stirred 1.00*10^-3 mol L-1 solution of AgNO3 (aq). The following reaction occurred:

Ag+ (aq) + Cl- (aq) ----> AgCl (s)
After addition of what volume of the NaCl (aq) solution will AgCl (s) first be observed in the reaction mixture? Ksp (AgCl) = 1.80 *10^-10
The answer that you should get is 9.00*10^-3 mL. Please show working, thanks! A 1.00 *10^-3 mol L-1 solution of NaCl (aq) was added slowly to 50.0 mL of a well stirred 1.00*10^-3 mol L-1 solution of AgNO3 (aq). The following reaction occurred:

Ag+ (aq) + Cl- (aq) ----> AgCl (s)
After addition of what volume of the NaCl (aq) solution will AgCl (s) first be observed in the reaction mixture? Ksp (AgCl) = 1.80 *10^-10
The answer that you should get is 9.00*10^-3 mL. Please show working, thanks!
Ag+ (aq) + Cl- (aq) ----> AgCl (s)
After addition of what volume of the NaCl (aq) solution will AgCl (s) first be observed in the reaction mixture? Ksp (AgCl) = 1.80 *10^-10
The answer that you should get is 9.00*10^-3 mL. Please show working, thanks!

Explanation / Answer

Ksp of AgCl = [Ag+][Cl-]

with [Ag+] = 1.00 x 10^-3 M

[Cl-] needed = 1.80 x 10^-10/1 x 10^-3

                     = 1.8 x 10^-7 M

So, it will react with equal amount of Ag+

Cl- moles needed = molarity x volume

                             = 1.8 x 10^-7 M x 50 ml

                             = 9.0 x 10^-6 mmol

therefore Volume of NaCl needed for precipitation of AgCl = moles/molarity

                                                                                             = 9.0 x 10^-6 mmol/1 x 10^-3 M

                                                                                             = 9.0 x 10^-3 ml