Dissolving a Solute

Dissolving of a solid substance in a liquid solvent as a function of time is proportional to two factors: (1) the difference between the concentration and the saturation concentration of the substance and (2) the quantity of undissolved solid in the solvent. Here the saturation concentration of the substance is taken to be 1 part of solute in parts of solvent. The variables are the mass of solute, the mass of solvent, the time to saturation , and the observed concentration .


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The relevant differential equation is
with solution
The constant can be determined from and .
[1] C. R. Wylie and L. C. Barrett, Advanced Engineering Mathematics, 4th ed., New York: McGraw-Hill, 1975 pp. 26-27.
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