Calculate the volume of 50 % (w/w) sodium hydroxide solution (its density ~ 1.52 g/ml) needed to prepare ~0.1 m naoh solution, using a 10-ml graduated cylinder.

0.05 mL

Explanation:

Initially, we have a concentrated solution of NaOH, to which we will add water to get a dilute one. To calculate the volume of the initial solution that we have to measure, we can use the dilution rule:

C₁ × V₁ = C₂ × V₂

where,

C₁ is the initial concentration (50% w/w; ρ = 1.52 g/mL)

V₁ is the initial volume

C₂ is the final concentration (0.1 M)

V₂ is the final volume (10 mL)

First, we have to calculate the weight/volume percentage and then the molarity of the first solution.

Now, we can apply the dilution rule.