To 125 grams of water was added 50 grams of a solution in a mass fraction of sulfuric acid 12%

To 125 grams of water was added 50 grams of a solution in a mass fraction of sulfuric acid 12%. Calculate the mass fraction of acid in the resulting solution.

Initially, the mass fraction of sulfuric acid was 12%. When water (solvent) is added, the amount of sulfuric acid in the solution will not change. Therefore, we first calculate its mass by the formula:

w = m (H2SO4) / m (solution) * 100%.

12% = x / 50 * 100%.

Hence x = 12 * 50/100 = 6 g.

We found that the mass of sulfuric acid is 6 g.

Now let’s find the mass fraction after adding water:

w = 6 / (50 + 125) * 100% = 3.4%.