How much of a 1.25 M sodium chloride solution in milliliters is required to completely precipitate all of the silver in 25.0 mL of a 0.45 M silver nitrate solution?

Problem 117P :

Step 1:

Given :

Molarity of Sodium chloride(NaCl) solution = 1.25 M

Molarity of silver nitrate(AgNO3) solution = 0.45 M

Volume of silver nitrate(AgNO3) solution = 25.0 mL

Volume of solution is in mL, so let’s convert to L :

1 L = 1000 mL

Therefore, 25.0 mL in L will be :

= 25 mL

= 0.025 L.

First, Let’s write the chemical reaction that’s happening :

NaCl (aq) + AgNO3 (aq) → NaNO3 (aq) + AgCl (s)

Now, let’s find the number of moles of AgNO3 in solution :

Here, mass of AgNO3 is not given. Hence, we shall calculate the number of moles using the molarity formula as AgNO3 is the solute :

Molarity =

Therefore, the number of moles(m) can be derived from the above formula as :

Moles of solute = Molarity Volume of Solution (in L)

Therefore , moles of AgNO3 = 0.45 M0.025 L

= 0.01125 moles

Step 2:

Now, let’s Find the number of moles of sodium chloride(NaCl):

In the reaction, we see that the ratio of solute and solvent is 1:1. Hence, there will be

0.01125 moles of sodium chloride(NaCl).