# 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.

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