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)mol/dm3
Percentage concentration (Cp)%
Molar mass (M)g/mol
Density (d)g/dm3

Result: Molar concentration (Cm)

Used formulaCm = Cp * d / (M * 100)
Numerical result18.3848mol/dm3
Result step by step
198 * 1840 / (98.079 * 100)Canceled terms
298 * 92 / (98.079 * 5)Simplify arithmetic
398 * 92 / 490.395Simplify arithmetic
498 * 0.1876Simplify arithmetic
Numerical result step by step

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 = \frac{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 = \frac{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 = \frac{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 = \frac{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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