Solubility of alum amongst paper by-products


Assignment:

Chemical XYZ is added to a substrate at a defined rate of 1.17% of the dry weight of the substrate; paper makers alum (Al2(SO4)3-14H2O) is added to the substrate at a rate of 45% of  the Chemical XYZ rate; the dry weight of the substrate is given as 1460 lbs/1000 ft2

The molecular weight of the alum is given as:

2 x Al = 54 g/mol     }

3 x S = 96 g/mol      }   594 g/mol total

28 x H = 28 g/mol    }

26 x O = 416 g/mol  }

Assuming 100% retention of the alum, what is the weight % Al+3 present in the substrate after alum addition and convert the weight % of Al+3 to ppm:

However, if in reality, the solubility of the alum is given as 87 g/100 cc's and we assumed a 10 liter solution of water, and the preceding masses of material were present or added to the 10 liter water solution (e.g. 1.465 lbs of "stuff"; .01714 lbs of XYZ; and .007713 lbs alum):

How would we then determine how much Al+3 actually dissolved? What is the dissolved and un-dissolved weight fraction of Al+3 present in the solution? And, what would the equivalent ppm value of the Al+3  (dissolved & un-dissolved) be as a function of the total solution?

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Chemistry: Solubility of alum amongst paper by-products
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