Calculate the mass fraction of sulfuric acid in the solution obtained by draining 500 grams of 10%

Calculate the mass fraction of sulfuric acid in the solution obtained by draining 500 grams of 10% solution and 250 grams of 20% sulfuric acid solution.

1. Calculate the mass of sulfuric acid in the first solution:

m1 (H2SO4) = w1 (H2SO4) * m1 (solution) = 0.1 * 500 = 50 g;

2. find the mass of acid in the second solution:

m2 (H2SO4) = w2 (H2SO4) * m2 (solution) = 0.2 * 250 = 50 g;

3. Determine the mass of all acid:

mtot (H2SO4) = m1 (H2SO4) + m2 (H2SO4) = 50 + 50 = 100 g;

4.Set the mass of the resulting solution:

mtot (solution) = m1 (solution) + m2 (solution) = 500 + 250 = 750 g;

5.Calculate the mass fraction of sulfuric acid:

wtot (H2SO4) = mtot (H2SO4): mtot (solution) = 100: 750 = 0.1333 or 13.33%.

Answer: 13.33%.