450 g of a 30% sugar solution was evaporated. The resulting sugar crystals were dissolved in 500 g

450 g of a 30% sugar solution was evaporated. The resulting sugar crystals were dissolved in 500 g of water. Calculate the mass fraction of sugar in the resulting solution.

First, let’s calculate the mass of sugar obtained by evaporating it from the solution:
m (sugar) = (m (solution) * W) / 100% = (450 * 30) / 100 = 135 g.
Now let’s calculate the mass fraction of sugar in the new solution, after adding 500 g of water:
W = (m (sugar) / m (solution)) * 100% = (135 / (135 + 500)) * 100 = 21.26%
the mass of the solution will now be:
m (solution) = m (sugar) + m (water) = 135 + 500 = 635 g
Well, judging by the results, everything was decided correctly, in a large amount of water, the percentage of sugar concentration decreased.