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If you are given a 10% (mass by mass) aqueous solution of sugar, what is the mass of sugar dissolved in 180 g of water?
The correct answer is 20g. Concept:Solution: A solution has two components i.e., solute and solvent. Solute: The substance that gets dissolved in the solvent. Solvent: The substance in which solute is dissolved. Mass by mass percentage of solution: (Mass of solute/mass of solute + mass of solvent ) À” 100Explanation:Let the mass of sugar be x grams. Given: Percentage of sugar in water = 10 %Mass of water = 180 gNow, Mass percentage of sugar = (mass of sugar/mass of sugar + mass of water) À” 100? 10 = (x / x + 1800) À” 100? 10 = 100x / x + 1800? 10 À” (x + 1800) = 100x ? 10x + 1800 = 100x ? 100x - 10x = 1800? 90x = 1800? x = 1800/90 = 20 g Mass of sugar = x = 20g
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