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Molar solubility : ウィキペディア英語版
Molar solubility

Molar solubility is the number of moles of a substance (the solute) that can be dissolved per liter of solution before the solution becomes saturated.
It can be calculated from a substance's solubility product constant (Ksp) and stoichiometry. The units are mol/L, sometimes written as M.
==Derivation==
Given excess of a simple salt AxBy in an aqueous solution of no common ions (A or B already present in the solution), the amount of it which enters solution can be calculated as follows:
The Chemical equation for this salt would be:
_y}_ \Longleftrightarrow x \text_ + y \text_\,
where A, B are ions and x, y are coefficients...
1. The relationship of the changes in amount (of which mole is a unit), represented as N(∆), between the species is given by Stoichiometry as follows:
-\frac = \frac = \frac\,
which, when rearranged for ∆A and ∆B yields:
N_ = -xN_\,
N_ = -yN_\,
2. The Deltas(∆), Initials(i) and Finals(f) relate very simply since, in this case, Molar solubility is defined assuming no common ions are already present in the solution.
N_ + N_ = N_\, The Difference law
N_ = 0\,
N_ = 0\,
Which condense to the identities
N_ = N_\,
N_ = N_\,
3. In these variables (with V for volume), the Molar solubility would be written as:
S_0 = -\frac\,
4. The Solubility Product expression is defined as:
K_ = ()^x()^y\,
These four sets of equations are enough to solve for S0 algebraically:
K_ = \right)}^x \right)}^y\,
K_ = \right)}^x \right)}^y\,
K_ = \frac\,
K_ = \frac\,
K_ = \frac\,
K_ = x^x y^y \frac\,
K_ = x^x y^y \frac} = \right)}^\,
\frac = ^\,
Hence;
S_0 = \sqrt()}\,

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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