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Molarity Calculator

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Molarity (M) is the concentration of a solution in moles of solute per litre of solution: M = n / V, where the number of moles n is the solute mass divided by its molar mass. This calculator works in three directions. Give it the mass, molar mass and volume to get the molarity; give it the target molarity, volume and molar mass to get the mass you need to weigh out; or give it the mass, molar mass and molarity to get the volume to dilute to. Mass accepts mg/g/kg, volume mL/L and concentration mM/M, and the result auto-scales to sensible units. The moles of solute are shown alongside every answer.

Solve for

Result

100 mM

Moles: 0.1 mol

Formula: M = (mass / molar mass) / volume

M = (mass / molar mass) / volume. Moles n = mass / molar mass. Concentration is moles of solute per litre of solution.

How to use

  1. Pick what to solve for: molarity, mass, or volume.
  2. Enter the molar mass of the solute (g/mol) and the two known quantities with their units.
  3. Read the result and the number of moles involved.

Frequently asked questions

What is molarity?
Molarity is moles of solute per litre of solution (mol/L, written M). A 1 M solution contains one mole of solute in each litre.
How do I calculate molarity?
M = n / V, where n = mass / molar mass and V is volume in litres. For example 5.844 g of NaCl (molar mass 58.44 g/mol) in 1 L is 0.1 mol / 1 L = 0.1 M.
How much solute do I weigh for a target molarity?
mass = molarity × volume × molar mass. To make 2 L of 0.5 M NaCl you need 0.5 × 2 × 58.44 = 58.44 g.
Where do I find the molar mass?
Sum the atomic masses of every atom in the formula. NaCl is 22.99 (Na) + 35.45 (Cl) = 58.44 g/mol; many periodic-table references list it directly.

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