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)#

Summary
Used formulaShow sourceCm=CpdM100Cm=\frac{Cp \cdot d}{M \cdot 100}
ResultShow source180320098079\frac{1803200}{98079}
Numerical resultShow source18.385179294242395 [moldm3]18.385179294242395\ \left[\frac{mol}{dm^3}\right]
Result step by step
1Show source981840980791000100\frac{98 \cdot 1840}{\frac{98079}{1000} \cdot 100}Simplify arithmetic
2Show source180320980791000100\frac{180320}{\frac{98079}{1000} \cdot 100}Cancel terms
3Show source90169807910005\frac{9016}{\frac{98079}{1000} \cdot 5}Multipled fractions
4Show source90169807951000\frac{9016}{\frac{98079 \cdot 5}{1000}}Simplify arithmetic
5Show source90164903951000\frac{9016}{\frac{490395}{1000}}Finds out greatest common divisor (GCD)
6Show source90169807952005\frac{9016}{\frac{98079 \cdot 5}{200 \cdot 5}}Cancels out greatest common divisor (GCD)
7Show source901698079200\frac{9016}{\frac{98079}{200}}Removed double fractional mark
8Show source9016200980799016 \cdot \frac{200}{98079}Multipled fractions
9Show source901620098079\frac{9016 \cdot 200}{98079}Simplify arithmetic
10Show source180320098079\frac{1803200}{98079}Result
Numerical result step by step
1Show source18.38517929424239518.385179294242395Result
Units normalization
Show source18.385179294242395 [moldm3]18.385179294242395\ \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}
    where:
    • 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:
    moldm3\dfrac{mol}{dm^3}
  • 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\%
    where:
    • 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}
    where:
    • 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}
    where:
    • CpC_p - percentage concentration,
    • CmC_m - molar concentration,
    • dd - density of solution,
    • MM - molar mass of substance.

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