How much sugar dissolves in 100g of water at 30oC
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Explanation:
Sugar is said to have a solubility of
180 g in 100 g of water at 0°C
•This tells you that dissolving that much sugar per
100 g of water would produce a saturated solution.
A saturated solution is a solution in which the rate at which solid particles are dissolved is equal to the rate at which dissolved solute particles reform the solid.
Simply put, a saturated solution is a solution that cannot dissolve more solute than what is already dissolved.
By comparison, in an unsaturated solution, the rate at which solid particles are dissolved exceeds the rate at which dissolved particles reform the solid, which means that the solution can dissolve more solute than what is already dissolved.
In your case, adding 180 g of sugar to 100 g of water will produce a saturated solution. Use this as a conversion factor to determine the solubility of sugar in 50 g of water at 0°C
50g water • 180 g sugar/100g water = 90 g sugar
•This means that adding 90 g of sugar to 50 g of water at 0°C will produce a saturated solution.
Now, you want to add 100 g of sugar in 50 g of water. Since you can only hope to dissolve 90 g at this temperature, your resulting solution will contain undissolved sugar.
More specifically, it will contain
•m
undissolved sugar = amount added100 g − amount dissolved 90 g
•m
undissolved sugar = 10 g
Therefore, adding 100 g of sugar to 50 g of water at 0°Cwill produce a saturated solution that contains 90 g of dissolved sugar and 10g of undissolved.
Hope it will helps you.
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