Tuesday, August 22, 2017

physical chemistry - Can the solubility of a compound be used to estimate the degree of separation of a solute from a solution?



I'm confused exactly on how to use the concept of solubility to get the amount of separation from a certain solute in the solution.


This arises from attempting to solve a problem regarding this matter. The problem described is as follows:



400 grams of anhydrous sodium sulphate (Na2SO4) is dissolved in a liter of hot water. The solution is then let to cool carefully until reaching 20C to remain supersaturated with respect to the formed decahydrate Na2SO410H2O. Then a small crystal of the latter salt is added to the solution, separating the excess of Na2SO4 dissolved, remaining a saturated solution. It is known that the saturated solution is equivalent to 19.4 grams of Na2SO4 by 100mL of water. What amount of the decahydrate would had been separated?



The given alternatives are:


1.249gto259g2.318gto327g3.689gto698g4.721gto730g5.890gto899g


What I assumed is that:


400gNa2SO4×142+180gNa2SO410H2O142gNa2SO4100mL19.4g100mL807g


Therefore that would be the grams of sodium sulphate decahydrate but I'm not sure if that would be the ammount. I'm confused why do the alternatives features a range?. How does it appear that?. Can somebody explain how exactly to get to that given range?.





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