What mass of perhydrol 30 hydrogen peroxide solution and water will be required to prepare 50 g of 3%

What mass of perhydrol 30 hydrogen peroxide solution and water will be required to prepare 50 g of 3% hydrogen peroxide solution used in medicine for treating wounds.

Given:
ω1 (H2O2) = 30%
m2 solution (H2O2) = 50 g
ω2 (H2O2) = 3%

To find:
m1 solution (H2O2) -?
m (H2O) -?

1) Calculate the mass of H2O2 in the final solution:
m2 (H2O2) = ω2 (H2O2) * m2 solution (H2O2) / 100% = 3% * 50/100% = 1.5 g;
2) Determine the mass of H2O2 in the initial solution:
m1 (H2O2) = m2 (H2O2) = 1.5 g;
3) Calculate the mass of the initial H2O2 solution:
m1 solution (H2O2) = m1 (H2O2) * 100% / ω1 (H2O2) = 1.5 * 100% / 30% = 5 g;
4) Calculate the mass of H2O:
m (H2O) = m2 solution (H2O2) – m1 solution (H2O2) = 50 – 5 = 45 g.

Answer: The mass of perhydrol is 5 g; water – 45 g.