What is the volume of the sugar and water mixture?


Question: What is the volume of the sugar and water mixture?

To determine the volume of a sugar and water mixture, we need to know the masses and densities of the sugar and water, as well as the total mass of the mixture. Once we have this information, we can use the formula:


Volume = Mass / Density


For example, if we have 100 grams of a sugar and water mixture that contains 80% water (by mass) and the density of water is 1 g/mL, and the density of sugar is 1.5 g/mL, we can calculate the volume of the mixture as follows:


Mass of water in the mixture = 0.8 x 100 g = 80 g

Mass of sugar in the mixture = 0.2 x 100 g = 20 g

Volume of water in the mixture = 80 g / 1 g/mL = 80 mL

Volume of sugar in the mixture = 20 g / 1.5 g/mL = 13.33 mL

Total volume of the mixture = 80 mL + 13.33 mL = 93.33 mL

Therefore, the volume of the sugar and water mixture is 93.33 mL.


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