This calculator converts molar concentration to percentage or vice versa.

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Symbolic algebra

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What do you want to calculate today?#

Choose a scenario that best fits your needs

I know percentage concentration (Cp), density (d) and molar mass (M) and want to calculate molar concentration (Cm)I know molar concentration (Cm), density (d) and molar mass (M) and want to calculate percentage concentration (Cp)I know percentage concentration (Cp), density (d) and molar concentration (Cm) and want to calculate molar mass (M)I know molar concentration (Cm), percentage concentration (Cp) and molar mass (M) and want to calculate density (d)

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 source $98\ \left[\mathrlap{\it{/}}{^0}_{\,0}\right]$
Density (d)	Show source $1840\ \left[\frac{g}{dm^3}\right]$
Molar mass (M)	Show source $98.079\ \left[\frac{g}{mol}\right]\ =\ \frac{98079}{1000}\ \left[\frac{g}{mol}\right]$
Molar concentration (Cm)

Result: Molar concentration (Cm)#

Summary

Used formula

Show source

Cm=\frac{Cp \cdot d}{M \cdot 100}

Result

Show source

\frac{1803200}{98079}

Numerical result

Show source

18.38517929424239643552646336116803801017547079395181435373525423\ \left[\frac{mol}{dm^3}\right]

Result step by step

1	Show source $\frac{98 \cdot 1840}{\frac{98079}{1000} \cdot 100}$	Removed double fractional mark	Divide by fraction is the same as multiply by fraction inverse: $\frac{a}{\frac{c}{b}} = a \cdot \frac{b}{c} = \frac{a \cdot b}{c}$
2	Show source $\frac{98 \cdot 1840 \cdot 1000}{98079 \cdot 100}$	Simplify arithmetic	-
3	Show source $\frac{180320 \cdot 1000}{98079 \cdot 100}$	Simplify arithmetic	-
4	Show source $\frac{180320 \cdot 1000}{9807900}$	Simplify arithmetic	-
5	Show source $\frac{\cancel{180320000}}{\cancel{9807900}}$	Cancel terms or fractions	Dividing a number by itself gives one, colloquially we say that such numbers "cancel-out": $\frac{\cancel{a}}{\cancel{a}} = 1$ to find-out the simplest form of fraction we can divide the numerator and denominator by the greatest common divisor (GCD) of both numbers.
6	Show source $\frac{1803200}{98079}$	Result	Your expression reduced to the simplest form known to us.

Numerical result step by step

1	Show source $18.38517929424239643552646336116803801017547079395181435373525423$	The original expression	-
2	Show source $18.38517929424239643552646336116803801017547079395181435373525423$	Result	Your expression reduced to the simplest form known to us.

Units normalization

Show source

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.

$C_m = \dfrac{n}{V}$
where:
- $C_m$ - molar concentration of solution,
- $n$ - amount of moles of substance,
- $V$ - volume of solution.
The basic unit of molar concentration is mole per cubic decimeter:

$\dfrac{mol}{dm^3}$
The percent concentration (weight-based) is the amount of grams of substance per 100 grams of the solution expressed as a percentage.

$C_p = \dfrac{m_s}{m_r} \times 100\%$
where:
- $C_p$ - percentage concentration (weight),
- $m_s$ - mass of substance,
- $m_r$ - mass of solution.
To convert percentage to molar concentration, we can use the following formula:

$C_m = \dfrac{C_p \times d}{M \times 100}$
where:
- $C_m$ - molar concentration,
- $C_p$ - percentage concentration,
- $d$ - density of solution,
- $M$ - molar mass of substance.
To convert molar to percentage concentration, we can use the following formula:

$C_p = \dfrac{C_m \times M \times 100}{d}$
where:
- $C_p$ - percentage concentration,
- $C_m$ - molar concentration,
- $d$ - density of solution,
- $M$ - molar mass of substance.

Tags and links to this website#

Tags:

molar_to_percentage_concentration · percentage_to_molar_concentration

Tags to Polish version:

stezenie_molowe_na_procentowe · stezenie_procentowe_na_molowe

What tags this calculator has#

CONVERTER · CHEMISTRY · A -> Z (all)

Permalink#

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https://calculla.com/molar_to_percentage_concentration?ioPercentageConcentration=$symbolic(98)&ioDensity=$symbolic(1840)&ioMolarMass=$symbolic(98.079)&ioMolarConcentrationUnitId=mol_per_dm3&ioPercentageConcentrationUnitId=percent&ioMolarMassUnitId=g_per_mol&ioDensityUnitId=g_per_dm3&ioIntentSchemeId=want_ioMolarConcentration

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