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

# Beta version

BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !

# What do you want to calculate today?

 Choose a scenario that best fits your needs I know percentage concentration, density and molar mass and want to calculate molar concentrationI know molar concentration, density and molar mass and want to calculate percentage concentrationI know molar and percentage concentrations and density and want to calculate molar massI know molar and percentage concentrations and molar mass and want to calculate density

# 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 source$Cm:=\frac{ Cp\cdot d}{\left( M\cdot100\right)}$
ResultShow source$18.3848$mol/dm3
Numerical resultShow source$18.3848$mol/dm3
Result step by step
 1 Show source$98\cdot\frac{1840}{\left(98.079\cdot100\right)}$ Canceled terms 2 Show source$98\cdot\frac{92}{\left(98.079\cdot5\right)}$ Simplify arithmetic 3 Show source$98\cdot\frac{92}{490.395}$ Simplify arithmetic 4 Show source$98\cdot0.1876$ Simplify arithmetic 5 Show source$18.3848$ Result
Numerical result step by step
 1 Show source$18.3848$ Result

# 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.
$C_m = \frac{n}{V}$
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:
$\frac{mol}{dm^3}$
• The percent concentration (weight-based) is the amount of grams of substance per 100 grams of the solution expressed as a percentage.
$C_p = \frac{m_s}{m_r} \times 100\%$
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:
$C_m = \frac{C_p \times d}{M \times 100}$
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:
$C_p = \frac{C_m \times M \times 100}{d}$
where:
• $C_p$ - percentage concentration,
• $C_m$ - molar concentration,
• $d$ - density of solution,
• $M$ - molar mass of substance.

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