# For canning cucumbers, you need a solution of acetic acid with a mass fraction of acid equal to 6%.

**For canning cucumbers, you need a solution of acetic acid with a mass fraction of acid equal to 6%. You have a solution of 100 g with a mass fraction of acid equal to 24%. What should you do to turn your solution into table vinegar with the specified mass fraction?**

Given:

ω2 (CH3COOH) = 6%

m1 solution (CH3COOH) = 100 g

ω1 (CH3COOH) = 24%

To find:

m (H2O) -?

1) Calculate the mass of CH3COOH in the original solution:

m1 (CH3COOH) = ω1 * m1 solution / 100% = 24% * 100/100% = 24 g;

2) Determine the mass of CH3COOH in the final solution:

m2 (CH3COOH) = m1 (CH3COOH) = 24 g;

3) Calculate the mass of the final CH3COOH solution:

m2 solution (CH3COOH) = m2 * 100% / ω2 = 24 * 100% / 6% = 400 g;

4) Calculate the mass of H2O to be added to the original CH3COOH solution:

m (H2O) = m2 solution – m1 solution = 400 – 100 = 300 g.

Answer: It is necessary to add H2O weighing 300 g.