Saturated solution and solubility 🧪💧

🇫🇷 French Version

I- Saturated solution

Sugar is soluble in water.
When you pour a little sugar into water, you get a homogeneous mixture.


With a lot of sugar, you can get a heterogeneous mixture.
The solution is saturated with sugar.
It can no longer dissolve sugar.


A saturated solution is a solution that can no longer dissolve solute.

II- Solubility s

Solubility s is equal to the maximum mass of solute that can be present in one liter of solution.


Solubility s is equal to the ratio of the maximum mass of solute to the volume of the solution.

\( \bbox[5pt, white]{s = m_{\text{solute}} \,\,\, \div V_{\text{solution}}} \)
\( \bbox[5pt, white]{s = m_{\text{solute}} \,\,\, : V_{\text{solution}}} \)
\( \bbox[5pt, white]{s = m_{\text{solute}} \,\,\,\, / V_{\text{solution}}} \)
\( \bbox[5pt, white]{s = {\displaystyle\frac{m_{\text{solute}}}{V_{\text{solution}}}}} \)

Solubility is expressed in g/L.
With m in grams (g) and V in liters (L).

III- Estimating the solubility s of sugar in water

Method:

  1. Pour 50 mL of water into a bottle
  2. Add a piece of sugar (6 g of sugar)
  3. Stir and wait
  4. Repeat the process with 12 g, 18 g, 24 g ... of sugar

In 50 mL of water, you can dissolve between 96 g and 102 g of sugar.

\( \bbox[5pt, white]{s = {\displaystyle\frac{m_{\text{solute}}}{V_{\text{solution}}}}} \)

with 96 g < m < 102 g and V = 50 mL = 0.05 L

\( s = \displaystyle\frac{96}{0.050} = 1,920 \, \text{g/L} \)

\( s = \displaystyle\frac{102}{0.050} = 2,040 \, \text{g/L} \)

The solubility of sugar is between 1,920 g/L and 2,040 g/L.


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