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?

a. 204g

b. 408 g

a) The solubility of sugar in water at room temperature is given as 204 g/100 ml. Therefore, in 100 ml of water, 204 g of sugar will dissolve.

b) To find out how much sugar will dissolve in 200 ml of water at room temperature, we can set up a proportion.

Let x be the amount of sugar that will dissolve in 200 ml of water.

We can set up the proportion:

204 g / 100 ml = x g / 200 ml

Now we can solve for x.

Cross-multiplying, we get:

(204 g)(200 ml) = (100 ml)(x g)

40800 g*ml = 100 ml * x g

Dividing both sides by 100 ml, we get:

408 g = x

Therefore, in 200 ml of water, 408 g of sugar will dissolve.

To find out how much sugar will dissolve in a given amount of water at room temperature, you need to use the solubility information provided. The solubility of sugar in water is given as 204 g/100 ml.

a) To find out how much sugar will dissolve in 100 ml of water, you can directly use the given solubility. Since the solubility is 204 g/100 ml, it means that 100 ml of water can dissolve 204 grams of sugar. Therefore, in 100 ml of water, 204 grams of sugar will dissolve.

b) To find out how much sugar will dissolve in 200 ml of water, you can use the concept of proportionality. Since the ratio of solubility is given as 204 g/100 ml, you can set up a proportion:

204 g/100 ml = x/200 ml

Cross-multiplying, you get:
100 * x = 204 * 200
x = (204 * 200) / 100

Therefore, in 200 ml of water, (204 * 200) / 100 = 408 grams of sugar will dissolve.