Molar to percentage concentration converter
This calculator converts molar concentration to percentage or vice versa.

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Calculations data - enter values, that you know here

Molar concentration (Cm)
Percentage concentration (Cp)
Molar mass (M)
Density (d)

Units normalization

Percentage concentration (Cp)Show source98 [/00]98\ \left[\mathrlap{\it{/}}{^0}_{\,0}\right]
Density (d)Show source1840 [gdm3]1840\ \left[\frac{g}{dm^3}\right]
Molar mass (M)Show source98.079 [gmol]98.079\ \left[\frac{g}{mol}\right]
Molar concentration (Cm)

Result: Molar concentration (Cm)

Used formulaShow sourceCm=CpdM100 Cm=\frac{ Cp\cdot d}{ M\cdot100}
ResultShow source18.384818.3848
Numerical resultShow source18.3848 [moldm3]18.3848\ \left[\frac{mol}{dm^3}\right]
Result step by step
1Show source98184098.07910098\cdot\frac{1840}{98.079\cdot100}Cancel terms
2Show source989298.079598\cdot\frac{92}{98.079\cdot5}Simplify arithmetic
3Show source9892490.39598\cdot\frac{92}{490.395}Simplify arithmetic
4Show source980.187698\cdot0.1876Simplify arithmetic
5Show source18.384818.3848Result
Numerical result step by step
1Show source18.384818.3848Result
Units normalization
Show source18.3848 [moldm3]18.3848\ \left[\frac{mol}{dm^3}\right]

Some facts

  • Concentration determines the amount of substance in the mixture. The mixture is often a solution.
  • The molar concentration is the amount of moles of substance per volume unit of the solution.
    Cm=nVC_m = \dfrac{n}{V}
    • CmC_m - molar concentration of solution,
    • nn - amount of moles of substance,
    • VV - volume of solution.
  • The basic unit of molar concentration is mole per cubic decimeter:
  • The percent concentration (weight-based) is the amount of grams of substance per 100 grams of the solution expressed as a percentage.
    Cp=msmr×100%C_p = \dfrac{m_s}{m_r} \times 100\%
    • CpC_p - percentage concentration (weight),
    • msm_s - mass of substance,
    • mrm_r - mass of solution.
  • To convert percentage to molar concentration, we can use the following formula:
    Cm=Cp×dM×100C_m = \dfrac{C_p \times d}{M \times 100}
    • CmC_m - molar concentration,
    • CpC_p - percentage concentration,
    • dd - density of solution,
    • MM - molar mass of substance.
  • To convert molar to percentage concentration, we can use the following formula:
    Cp=Cm×M×100dC_p = \dfrac{C_m \times M \times 100}{d}
    • CpC_p - percentage concentration,
    • CmC_m - molar concentration,
    • dd - density of solution,
    • MM - molar mass of substance.

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