Question

You have 250.0 mL of 4.00 M sugar solution. You add 332.4 mL of water to this solution.

Determine the concentration of the sugar solution after the water has been added

Answer 1

1.72 M

Step-by-step explanation:

To find the new molarity, you need to (1) convert both volumes from mL to L, then (2) calculate the moles (using the molarity equation), and then (3) calculate the new molarity (using the new volume and molarity equation). The final answer should have 3 sig figs.

(Step 1)

1,000 mL = 1 L

250.0 mL / 1,000 = 0.250 L

332.4 mL / 1,000 = 0.3324 L

(Step 2)

Molarity = moles / volume (L)

4.00 M = moles / 0.250 L

1.00 = moles

(Step 3)

New Volume = 0.3324 L + 0.250 L = 0.5824 L

Molarity = moles / volume

Molarity = 1.00 moles / 0.5824 L

Molarity = 1.72 M