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(75)/(100+75)x100%

= 41.28% by mass

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Q: What is a solution of 75 g of CaC1 in 100 g of water?
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The solubility of kno3 is 155g per 100g of water at 75 degree c and 38g at 25degreec the mass of kno3 will crystallize out of solution if 100g of it saturated solution is cooled from 75c to 25 c is?

I have read two methods to solve this up: the first says that at 75 degrees the solution mass is 100g of water + 155 g of KNO3 so its mass is 255g at 25 degrees the solution mass is 100 g of water + 38 g of KNO3 so its mass is 38 when we cool it down from 75 to 25 we will get 255-138=117g but this is the solution mass and u only want the mass of KNO3 because that is what will really crystallize...so for some reason i really dont get u do 117/255 and then multiply it by the mass of the demanded solution which is 100 g so the answer will be 45.88g nearly 45.9 g the second method is to assume that at 75 degrees there is in 100g of saturated solution, x g of water so KNO3 will be 1.55x total mass 100 x+1.55x=100 x= 39.126 1.55x=60.784 so at 25 degrees there is 0.39 x of KNO3 and x is 39.126 that means there is 0.38*39.126= 14.867 g of KNO3 therefore the mass of KNO3 that will crystallize is 60.784-14.867=45.917= 45.917 why 1.55x? because for each 100 g of water we have 155 g of solute...so 155/100 = the mass of solute for the new water mass/ the new water mass (x) so the mass of solute for the new water mass will be: 155x/100 or 1.55x! the same applies to 0.38x hope this helped =)


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