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# Molarity calculator

This online calculator can calculate the molar concentration of a solute in a solution or mass of a solute in a solution with a specific molar concentration.

This calculator can solve problems on the molarity or molar concentration of a solute in a solution. First, it can calculate the molar concentration of a solute given a solute chemical formula, mass of the solute and volume of the solution. Second, it can calculate the mass of a solute given a solute chemical formula, volume of the solution and desired molar concentration of a solute. It you want to recall the topic, you can find some definitions and formulas below the calculator.

#### Molarity calculator

Molar concentration of a solute, M

Mass of the solute, g

Digits after the decimal point: 3

### Molarity

Let's recall some definitions:
A solution is a mixture where the ratio of solute to solvent remains the same throughout the solution (homogeneous mixture or mixture with uniform composition). Solvent is the chemical that is present in larger amount, and solute is the chemical that is present in smaller amount.

Molarity or molar concentration is the number of moles of solute per liter of solution, measure in mol/liter, denoted as M, and calculated as follows:

$M=\frac{\text{mol solute}}{\text{L of solution}}$

The problems on molarity usually involve calculation of either molar concentration of a solute, given the mass of a solute and the volume of a solution or mass of a solute for the desired molar concentration given the volume of a solution. In both cases, the tedious part is the conversion of the mass of a solute to moles of the solute or vice versa, because it involves the calculation of molar mass of a solute. Happily, we can reuse the Molar mass of the substance calculator for this.

Thus, the formula to find molar concentration from the mass of a solute is:

$M=\frac{\frac{mass_{solute}}{\text{molar mass}_{solute}}}{L_{solution}}$

And the formula to find mass of a solute from the molar concentration is:

$mass_{solute}=M*L_{solution}*\text{molar mass}_{solute}$

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