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Percentage Concentration to Molarity Calculator

Convert percentage concentration to molarity or molarity to percentage using density and molar mass.

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Percentage Concentration to Molarity Calculator

The Percentage Concentration to Molarity Calculator converts between weight/volume percentage and molarity for aqueous solutions. Percentage concentration gives the mass of solute per 100 units of solution mass, while molarity counts moles of solute per liter.

$$M = \frac{\mathrm{wt\%} \times \rho}{MM \times 100}$$

where $M$ is molarity in mol/L, wt% is percentage concentration, $\rho$ is solution density in g/L, and $MM$ is molar mass in g/mol.

To convert molarity back to percentage:

$$\mathrm{wt\%} = \frac{M \times MM \times 100}{\rho}$$

For a 10% NaCl solution with density 1080 g/L and molar mass 58.44 g/mol, molarity is about 1.848 M.

Related tools: Molarity Calculator, Mass Percent Calculator, and Concentration Calculator.

Frequently Asked Questions

How do I convert percentage to molarity?

Multiply percentage by density, then divide by molar mass times 100. Ensure density is in g/L and molar mass in g/mol for molarity in mol/L.

What units does density need?

The formula uses density in g/L (equivalent to g/dm³). Convert g/mL by multiplying by 1000, and kg/m³ is numerically equal to g/L.

What is the difference between molarity and percentage?

Molarity is moles per liter of solution. Percentage is grams of solute per 100 grams of solution. Both describe concentration but use different bases.

Why is molar mass needed?

Molar mass converts between mass and moles. Without it, percentage (a mass ratio) cannot be expressed as molarity (a mole count per volume).