Answer :
A mixture of 100 g of K2Cr2O7 and 200 g of water is stirred at 60 OC until no more of this salt dissolves. 33% mass of K2Cr2O7 crystallizes from the solution during the cooling.
To solve this problem, you need to use the solubility curve for potassium dichromate (K2Cr2O7) in water. A solubility curve is a graph that shows the relationship between the temperature of a solution and the amount of a substance (in this case, potassium dichromate) that will dissolve in the solution. Since the mixture you have consists of 100 grams of potassium dichromate and 200 milliliters of water, you can use the solubility curve to determine how much potassium dichromate will dissolve in the mixture at 60 degrees Celsius.
At a temperature of 60 degrees Celsius, the solubility of potassium dichromate in water is approximately 150 grams per 100 milliliters of water. Since the mixture you have consists of 100 grams of potassium dichromate and 200 milliliters of water, you can use the solubility curve to determine how much potassium dichromate will dissolve in the mixture.
Since the volume of water in the mixture is 200 milliliters, this means that approximately 67% of the potassium dichromate in the mixture will dissolve at 60 degrees Celsius. The remaining 33% of the potassium dichromate will not dissolve in the mixture and will remain as a solid.
When the mixture is cooled to 20 degrees Celsius, the solubility of potassium dichromate in water decreases. This means that some of the potassium dichromate that was dissolved in the mixture at 60 degrees Celsius will crystallize out of the solution as the temperature decreases.
To determine the mass of potassium dichromate that crystallizes from the solution during the cooling, you can use the following equation:
Mass of potassium dichromate crystallized = (Mass of potassium dichromate in mixture - Mass of potassium dichromate dissolved at 60 degrees Celsius) x (1 - Solubility at 20 degrees Celsius / Solubility at 60 degrees Celsius)
Substituting in the values from the problem, we get:
Mass of potassium dichromate crystallized = (100 grams - (100 grams x 67%)) x (1 - (Solubility at 20 degrees Celsius / 150 grams)
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