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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Choose a scenario that best fits your needs

I know solubility (ms) and want to calculate percentage concentration (Cp)I know percentage concentration (Cp) and want to calculate solubility (ms)I know solubility (ms), molar mass (M) and volume (V) and want to calculate molar concentration (Cm)I know molar concentration (Cm), molar mass (M) and volume (V) and want to calculate solubility (ms)I know solubility (ms), molar concentration (Cm) and volume (V) and want to calculate molar mass (M)I know solubility (ms), molar concentration (Cm) and molar mass (M) and want to calculate volume (V)

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 source $10\ \left[g\right]$
Percentage concentration (Cp)
Molar mass (M)
Volume (V)
Molar concentration (Cm)

Result: Percentage concentration (Cp)#

Summary

Used formula

Show source

Cp=\frac{\mathrm{ms}}{\mathrm{ms}+100} \cdot 100

Result

Show source

\frac{100}{11}

Numerical result

Show source

9.090909090909090909090909090909090909090909090909090909090909091\ \left[\mathrlap{\it{/}}{^0}_{\,0}\right]

Result step by step

1	Show source $\frac{10}{10+100} \cdot 100$	Multipled fractions	To multiply two fractions we need to multiply numberators and denominators from first and second fractions: $\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$
2	Show source $\frac{10 \cdot 100}{10+100}$	Simplify arithmetic	-
3	Show source $\frac{1000}{10+100}$	Simplify arithmetic	-
4	Show source $\frac{\cancel{1000}}{\cancel{110}}$	Cancel terms or fractions	Dividing a number by itself gives one, colloquially we say that such numbers "cancel-out": $\frac{\cancel{a}}{\cancel{a}} = 1$ to find-out the simplest form of fraction we can divide the numerator and denominator by the greatest common divisor (GCD) of both numbers.
5	Show source $\frac{100}{11}$	Result	Your expression reduced to the simplest form known to us.

Numerical result step by step

1	Show source $\frac{100}{11}$	Divided fraction	-
2	Show source $9.090909090909090909090909090909090909090909090909090909090909091$	Result	Your expression reduced to the simplest form known to us.

Units normalization

Show source

9.090909090909090909090909090909090909090909090909090909090909091\ \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:

$C_p = \dfrac{m_s}{m_s + 100} \times 100$
where:
- $C_p$ - percentage concentration of saturated solution (%),
- $m_s$ - solubility of substance (grams per 100 grams of solvent).
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:

$C_m = \dfrac{m_s}{M \times V}$
where:
- $C_m$ - molar concentration of saturated solution ( $g/dm^3$ ),
- $m_s$ - solubility of substance (grams per 100 grams of solvent),
- $M$ - molar mass of substance ( $g/mol$ ),
- $V$ - volume of saturated solution ( $dm^3$ ).

Tags and links to this website#

Tags:

concentration_of_saturated_solution · solubility_to_concentration_calculator

Tags to Polish version:

stezenie_roztworu_nasyconego · zamiana_rozpuszczalnosci_na_stezenie

What tags this calculator has#

CALCULATOR · CHEMISTRY · A -> Z (all)

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https://calculla.com/concentration_of_saturated_solution?ioMassOfSubstance=$symbolic(10)&ioConcentrationPercentageUnitId=percent&ioConcentrationMolarUnitId=mol_per_dm3&ioMassOfSubstanceUnitId=g&ioMolarMassUnitId=g_per_mol&ioVolumeUnitId=dm3&ioIntentSchemeId=want_ioConcentrationPercentage

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