A 3.5-L sample of a 5.8 M NaCl solution is diluted to 55 L. What is the molarity of the diluted solution?

Solution 82P :

Step 1:

Volume of initial concentrated solution = 3.5 L

Molarity of initial concentrated solution = 5.8 M

Volume of diluted solution = 55 L

Molarity of diluted solution = ?

Molarity(M) is a unit of concentration measuring the number of moles of a solute per liter of solution. The SI unit of molarity is mol/L.

To calculate the molarity of the diluted solution, we use the formula :

M1V1 = M2V2

Where, M1 and V1 = Molarity and volume of initial concentrated solution.

M2 and V2 = Molarity and volume of final diluted solution.

We have to calculate M2, hence the formula becomes :

M2 =

Therefore,

=

= 0.3690 M

Hence, molarity of diluted solution is 0.3690 M