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Multiple Choice
If a saturated solution of K2SO4 at 60 °C (where the solubility is 21.5 g per 100 g H2O) is cooled to 0 °C (where the solubility is 7.4 g per 100 g H2O), what mass of K2SO4 will crystallize out from 100 g of water?
A
14.1 g
B
7.4 g
C
21.5 g
D
28.9 g
Verified step by step guidance
1
Identify the solubility values given: at 60 °C, the solubility of K\_2SO\_4 is 21.5 g per 100 g of H\_2O, and at 0 °C, it is 7.4 g per 100 g of H\_2O.
Understand that the solution is initially saturated at 60 °C, meaning it contains 21.5 g of K\_2SO\_4 dissolved in 100 g of water.
When the solution is cooled to 0 °C, the maximum amount of K\_2SO\_4 that can remain dissolved is 7.4 g per 100 g of water.
Calculate the mass of K\_2SO\_4 that will crystallize out by subtracting the solubility at 0 °C from the solubility at 60 °C: $\text{Mass crystallized} = 21.5\,\text{g} - 7.4\,\text{g}$.
The result from this subtraction gives the mass of K\_2SO\_4 that will crystallize out from 100 g of water upon cooling from 60 °C to 0 °C.