If fresh apple juice contains 10% solids, what would be the solid content of a concentrates that would yield single-strength juice after diluting one part of the concentrate with three parts of water? Assume that the densities are constant and are equal to the density of water.

Answer 1

To solve this problem, we need to use the equation:

% solids in concentrate = (% solids in single-strength juice) x (volume reduction ratio)

Volume reduction ratio = 1 / (dilution factor)

Dilution factor = total volume of single-strength juice / volume of concentrate

For this problem, the % solids in single-strength juice is 10%, and the dilution factor is 1:3, since we are diluting one part of concentrate with three parts of water. Therefore:

Dilution factor = (1+3) / 1 = 4

Volume reduction ratio = 1 / 4 = 0.25

% solids in concentrate = 10% x 0.25 = 2.5%

Therefore, the solid content of the concentrate would be 2.5% to yield single-strength juice after diluting one part of the concentrate with three parts of water.