Concentration of saturated solution calculator
Calculations finds out concentration (percentage or molar) of saturated solution based on substance solubility or vice versa.

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Symbolic algebra

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Calculations data - enter values, that you know here#

Percentage concentration (Cp)
Solubility (ms)
(mass of substance in saturated soultion)
Molar concentration (Cm)
Molar mass (M)
Volume (V)

Units normalization#

Solubility (ms)Show source10 [g]10\ \left[g\right]
Percentage concentration (Cp)
Molar mass (M)
Volume (V)
Molar concentration (Cm)

Result: Percentage concentration (Cp)#

Used formulaShow sourceCp=msms+100100 Cp=\frac{\mathrm{ms}}{\mathrm{ms}+100}\cdot100
ResultShow source10011\frac{100}{11}
Numerical resultShow source9.090909090909092 [/00]9.090909090909092\ \left[\mathrlap{\it{/}}{^0}_{\,0}\right]
Result step by step
1Show source1010+100100\frac{10}{10+100}\cdot100Simplify arithmetic
2Show source10110100\frac{10}{110}\cdot100Finds out greatest common divisor (GCD)
3Show source(110)(1110)100\frac{\left(1\cdot10\right)}{\left(11\cdot10\right)}\cdot100Cancels out greatest common divisor (GCD)
4Show source111100\frac{1}{11}\cdot100Multipled fractions
5Show source(1100)11\frac{\left(1\cdot100\right)}{11}Multiply by one
6Show source10011\frac{100}{11}Result
Numerical result step by step
1Show source9.0909090909090929.090909090909092Result
Units normalization
Show source9.090909090909092 [/00]9.090909090909092\ \left[\mathrlap{\it{/}}{^0}_{\,0}\right]

Some facts#

  • Saturated solution contains maximum dissolvable amount of substance.
  • Attempting to introduce more substance into the solution will end with the remaining undissolved substance (sludge).
  • The maximum amount of substance that can be dissolved is solubility. The solubility is often given in grams per 100 grams of solvent.
  • Solubility is substance specific. In addition, it depends on the kind of solvent and external conditions (temperature, pressure).
  • If we have the solubility of the substance (in grams per 100 grams of solvent), we can calculate the percentage concentration of saturated solution:
    Cp=msms+100×100C_p = \dfrac{m_s}{m_s + 100} \times 100
  • To calculate the molar concentration of saturated solution we additionally need to know the volume of the solution and the molar mass of the substance:
    Cm=msM×VC_m = \dfrac{m_s}{M \times V}
    • CmC_m - molar concentration of saturated solution (g/dm3g/dm^3),
    • msm_s - solubility of substance (grams per 100 grams of solvent),
    • MM - molar mass of substance (g/molg/mol),
    • VV - volume of saturated solution (dm3dm^3).

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