Question

A sugar solution contains 15% sugar by weight. When the solution is heated,40% sugar is left in the solution. The amount of water which has disappeared​

Answer 1

62.5 g of water has disappeared from the solution.

Explanation:

Given,

Amount of sugar in the solution = 15%

sugar amount left after heating the solution = 40%

So,

Let 100g be the total mass of the solution,

Now mass of sugar added in it = 15% of 100 = 15g

Mass of water = 100 - 15 = 85g

After heating, amount of sugar left in it = 40% = 15g

If we take new solution amount to be x, then the amount of sugar in it would be;

x * 40/100 = 15

∵ x = 1500/40

= 37.5 g

Thus, the amount of solution post-heating is 37.5 g,

To find,

Mass of water in it = 37.5g - 15g

= 22.5g

Thus, the water disappeared on heating = (Total water added - Remaining mass of water in the solution)

= 85g - 22.5g

= 62.5g

Learn more: Amount of solution

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