Question

What volume of a 15.0 % by mass NaOH solution, which has a density of 1.116 g/mL, should be used to make 1.70 L of an NaOH solution with a pH of 10.70?

Answer 1

To make 1.70 L of an NaOH solution with a pH of 10.70, you would need 2.22 mL of a 15.0% by mass NaOH solution.

Step-by-step explanation:

To determine the volume of the NaOH solution needed, we can use the formula: % by mass = (mass of solute/mass of solution) × 100. Rearranging this formula, we can solve for the mass of the NaOH solute: mass of NaOH = (% by mass / 100) × mass of solution. Substituting the given values, we have mass of NaOH = (15.0% / 100) × (1.70 L) × (1.116 g/mL). Calculating this expression gives us a mass of NaOH of 2.4792 g. Now, we can find the volume of the 15.0% NaOH solution using the formula: volume of solution = mass of solute / density. Substituting the values, we have volume of solution = 2.4792 g / 1.116 g/mL. Calculating this expression gives us a volume of the 15.0% NaOH solution as 2.22 mL.