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

# Beta version#

BETA TEST VERSION OF THIS ITEM
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# Symbolic algebra

ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations

# What do you want to calculate today?#

 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) percent [%]permil [‰]basis point (permyriad) [‱]basis point (permyriad) [‱]percentage in point [pip]tick size (US bonds) [tick]tick size plus (US bonds) [tick+]parts per thousand [ppth]parts per million [ppm]parts per hundred million [pphm]parts per billion [ppb]parts per trillion [ppt]parts per quadrillion [ppq]yottauno [YU]zettauno [ZU]exauno [EU]petauno [PU]terauno [TU]gigauno [GU]megauno [MU]kilouno [kU]hektouno [hU]uno [U]deciuno [dU]centiuno [cU]miliuno [mU]microuno [µU]nanouno [nU]pikouno [pU]femtouno [fU]attouno [aU]zeptouno [zU]yoctouno [yU] => Solubility (ms)(mass of substance in saturated soultion) kiloton (gigagram) [kton, Gg]ton (megagram) [ton, Mg]quintal [q]kilonewton [kN]kilogram [kg]hectogram [hg]decagram [dag]gram [g]carat [ct]centigram [cg]milligram [mg]microgram [µg]nanogram [ng]atomic mass unit [u]long ton [ton]short ton [sh tn]long hundredweight [cwt]short hundredweight [sh cwt]stone [st]pound [lb av]ounce [oz av]dram [dr av]grain [gr]pound [lb t]ounce [oz t]dram [dr t]pennyweight [dwt, pwt]scruple [s ap]grain [gr]carat [kt]mitedoite <= 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 formulaShow source$Cp=\frac{\mathrm{ms}}{\mathrm{ms}+100}\cdot100$
ResultShow source$\frac{100}{11}$
Numerical resultShow source$9.090909090909092\ \left[\mathrlap{\it{/}}{^0}_{\,0}\right]$
Result step by step
 1 Show source$\frac{10}{10+100}\cdot100$ Simplify arithmetic 2 Show source$\frac{10}{110}\cdot100$ Finds out greatest common divisor (GCD) 3 Show source$\frac{\left(1\cdot10\right)}{\left(11\cdot10\right)}\cdot100$ Cancels out greatest common divisor (GCD) 4 Show source$\frac{1}{11}\cdot100$ Multipled fractions 5 Show source$\frac{\left(1\cdot100\right)}{11}$ Multiply by one 6 Show source$\frac{100}{11}$ Result
Numerical result step by step
 1 Show source$9.090909090909092$ Result
Units normalization
Show source$9.090909090909092\ \left[\mathrlap{\it{/}}{^0}_{\,0}\right]$

# 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:
$C_p = \dfrac{m_s}{m_s + 100} \times 100$
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 ($dm^3$).