What is the volume of 96% sulfuric acid (density r = 1.84 g / ml) and what mass of water should be taken to prepare

What is the volume of 96% sulfuric acid (density r = 1.84 g / ml) and what mass of water should be taken to prepare 100 ml of 15% sulfuric acid solution (r = 1.10 g / ml)?

Let’s calculate the masses of the components of the solution.

This requires multiplying their mass fraction by the weight of the solution.

Let’s calculate the weight of pure sulfuric acid.

M pure acid = 100 x 1.1 x 0.15 = 16.5 grams;

In order to find the volume of a sulfuric acid solution with such an acid weight, it is necessary to divide this acid weight by its concentration and density.

The volume of the sulfuric acid solution will be:

V sulfuric acid solution = 16.5 / 0.96 / 1.84 = 9.341 ml;

The weight of water to be added will be:

M water = 100 x 1.1 x 0.85 – 16.5 x 0.04 = 93.5 – 0.66 = 92.84 grams;

(We take into account the water in the sulfuric acid solution).

Let’s check:

M solution = M acid + M water (solvent) = 5 + 45 = 50 grams;