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] = 980791000 [gmol]98.079\ \left[\frac{g}{mol}\right]\ =\ \frac{98079}{1000}\ \left[\frac{g}{mol}\right]
Molar concentration (Cm)

Result: Molar concentration (Cm)#

Used formulaShow sourceCm=CpdM100Cm=\frac{Cp \cdot d}{M \cdot 100}
ResultShow source180320098079\frac{1803200}{98079}
Numerical resultShow source18.38517929424239643552646336116803801017547079395181435373525423 [moldm3]18.38517929424239643552646336116803801017547079395181435373525423\ \left[\frac{mol}{dm^3}\right]
Result step by step
1Show source981840980791000100\frac{98 \cdot 1840}{\frac{98079}{1000} \cdot 100}Removed double fractional markDivide by fraction is the same as multiply by fraction inverse: acb=abc=abc\frac{a}{\frac{c}{b}} = a \cdot \frac{b}{c} = \frac{a \cdot b}{c}
2Show source981840100098079100\frac{98 \cdot 1840 \cdot 1000}{98079 \cdot 100}Simplify arithmetic-
3Show source180320100098079100\frac{180320 \cdot 1000}{98079 \cdot 100}Simplify arithmetic-
4Show source18032010009807900\frac{180320 \cdot 1000}{9807900}Simplify arithmetic-
5Show source1803200009807900\frac{\cancel{180320000}}{\cancel{9807900}}Cancel terms or fractions
  • Dividing a number by itself gives one, colloquially we say that such numbers "cancel-out": aa=1 \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.
6Show source180320098079\frac{1803200}{98079}ResultYour expression reduced to the simplest form known to us.
Numerical result step by step
1Show source18.3851792942423964355264633611680380101754707939518143537352542318.38517929424239643552646336116803801017547079395181435373525423The original expression-
2Show source18.3851792942423964355264633611680380101754707939518143537352542318.38517929424239643552646336116803801017547079395181435373525423ResultYour expression reduced to the simplest form known to us.
Units normalization
Show source18.38517929424239643552646336116803801017547079395181435373525423 [moldm3]18.38517929424239643552646336116803801017547079395181435373525423\ \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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