Calculate the amount of water required to prepare 500g of 2.5% solution of sugar

The mass percentage of a solution is defined as

Where, mass of a solution = Mass of solute + Mass of solvent

We are given that the sugar solution is 2.5 % and the mass of solution is 500g. Let y grams be the mass of sugar (solute) present in 500g of solution. Therefore

2.5 = (y / 500) X 100

This gives y = 12.5

Therefore mass of water (solute) = mass of solution - mass of sugar (solute)

= (500 - 12.5) g

= 487.5 g

Hence 487.5 g of water would be required.

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