The solubility of sugar in water in room temperature is 204 g/ 100 ml.
a) How much sugar will dissolve in 100 ml of water at room temperature?
b) How much sugar will dissolve in 200 ml of water at room temperature?
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To find the amount of sugar that will dissolve in a given volume of water, you can use the solubility value provided, which is 204 g/100 ml.
a) To find how much sugar will dissolve in 100 ml of water, you can set up a proportion:
204 g / 100 ml = x g / 100 ml
Cross multiplying, we get:
204 g * 100 ml = 100 ml * x g
20,400 g·ml = 100 ml * x g
Dividing both sides by 100 ml, we can solve for x:
x = (20,400 g·ml) / 100 ml
x = 204 g
Therefore, 204 grams of sugar will dissolve in 100 ml of water at room temperature.
b) To find how much sugar will dissolve in 200 ml of water, we can use the same proportion:
204 g / 100 ml = x g / 200 ml
Cross multiplying as before:
204 g * 200 ml = 100 ml * x g
40,800 g·ml = 100 ml * x g
Dividing both sides by 100 ml:
x = (40,800 g·ml) / 100 ml
x = 408 g
Therefore, 408 grams of sugar will dissolve in 200 ml of water at room temperature.