The solubility of a substance is 12 g per 100 g water at 20 degree , and is 18 g per 100 g water at 60 degree , what is the mass of the substance can be crystallized in a saturated solution that contain 200 g of water , if the solution cooled from 60 to 20 degree ?

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To find the mass of the substance that can be crystallized, we'll first calculate the amount of substance dissolved at 60 degrees and then subtract the amount that remains dissolved at 20 degrees.

At 60 degrees, the solubility is 18 g per 100 g of water. So, in 200 g of water, we can dissolve:

(18 g / 100 g) * 200 g = 36 g of the substance.

Now, at 20 degrees, the solubility is 12 g per 100 g of water. In the 200 g of water (which we cooled from 60 to 20 degrees), we can dissolve:

(12 g / 100 g) * 200 g = 24 g of the substance.

Finally, to find the mass of the substance that can be crystallized, we'll subtract the amount dissolved at 20 degrees from the amount dissolved at 60 degrees:

36 g - 24 g = 12 g.

Therefore, 12 grams of the substance can be crystallized in the saturated solution containing 200 g of water, when it is cooled from 60 to 20 degrees.

At 60C 200 g H2O will hold

18 x 200/100 = 36g and that is a saturated solution.
At 20C it will hold 12 x 200/100 = 24.
Difference is 36-24 = ?g

12g

To find the mass of the substance that can be crystallized in a saturated solution, we need to calculate the difference in solubility between 60 degrees and 20 degrees.

1. Calculate the mass of the substance that can be dissolved in 100 g of water at 60 degrees:
Mass of substance = Solubility at 60 degrees * Mass of water
Mass of substance = 18 g/100 g * 100 g
Mass of substance = 18 g

2. Calculate the mass of the substance that can be dissolved in 100 g of water at 20 degrees:
Mass of substance = Solubility at 20 degrees * Mass of water
Mass of substance = 12 g/100 g * 100 g
Mass of substance = 12 g

3. Calculate the difference in mass of the substance that can be dissolved between 60 degrees and 20 degrees:
Difference in mass = Mass at 60 degrees - Mass at 20 degrees
Difference in mass = 18 g - 12 g
Difference in mass = 6 g

4. Calculate the mass of the substance that can be crystallized in the 200 g of water:
Mass of substance = Difference in mass * Mass of water / 100 g
Mass of substance = 6 g * 200 g / 100 g
Mass of substance = 12 g

Therefore, the mass of the substance that can be crystallized in the saturated solution of 200 g of water cooled from 60 to 20 degrees is 12 grams.

To find the mass of the substance that can be crystallized, we need to determine the initial amount of substance in the saturated solution at 60 degrees and the final amount after it has cooled to 20 degrees.

First, let's calculate the initial mass of the substance in the saturated solution at 60 degrees:

The solubility at 60 degrees is given as 18 g per 100 g water.
So, in 100 g of water, we have 18 g of the substance.
Since we have 200 g of water in the solution, the initial mass of the substance can be calculated using a proportion:

(18 g substance / 100 g water) = (x g substance / 200 g water)

Simplifying the proportion, we find:

(18/100) = (x/200)
18 * 200 = 100 * x
x = (18 * 200) / 100
x = 36 g

Therefore, the initial mass of the substance in the saturated solution at 60 degrees is 36 g.

Next, let's calculate the final amount of the substance after cooling the solution to 20 degrees:

The solubility at 20 degrees is given as 12 g per 100 g water.
So, in 100 g of water, we have 12 g of the substance.
Using a proportion again, we can calculate the final mass of the substance:

(12 g substance / 100 g water) = (y g substance / 200 g water)

Simplifying the proportion, we find:

(12/100) = (y/200)
12 * 200 = 100 * y
y = (12 * 200) / 100
y = 24 g

Therefore, the final mass of the substance after cooling the solution to 20 degrees is 24 g.

Now, to determine the mass of the substance that can be crystallized, we need to find the difference between the initial and final masses:

Mass of the substance that can be crystallized = Initial mass - Final mass
Mass of the substance that can be crystallized = 36 g - 24 g
Mass of the substance that can be crystallized = 12 g

Therefore, the mass of the substance that can be crystallized in the saturated solution containing 200 g of water, after cooling from 60 to 20 degrees, is 12 g.