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

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This online calculator is currently under heavy development. It may or it may NOT work correctly.
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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 formulaShow sourceCm:=Cpd(M100) Cm:=\frac{ Cp\cdot d}{\left( M\cdot100\right)}
ResultShow source18.384818.3848mol/dm3
Numerical resultShow source18.384818.3848mol/dm3
Result step by step
1Show source981840(98.079100)98\cdot\frac{1840}{\left(98.079\cdot100\right)}Canceled terms
2Show source9892(98.0795)98\cdot\frac{92}{\left(98.079\cdot5\right)}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

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