Problem 81P

A 122-mL sample of a 1.2 M sucrose solution is diluted to 500.0 mL. What is the molarity of the diluted solution?

Solution 81P :

Step 1:

Volume of initial concentrated solution = 122-mL

Molarity of initial concentrated solution = 1.2 M

Volume of diluted solution = 500.0 mL

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 =

Volume of initial and final solution are given in mL, let’s convert to L :

1 L = 1000 mL

Therefore, 122 mL in L will be :

= 0.122 L

Therefore, 500 mL in L will be :

= 0.500 L

Now, let’s calculate the molarity :

=

= 0.2928 M

Hence, molarity of diluted solution is 0.2928 M