Molarity Calculator
Molarity from a mass of solute, its molar mass and the solution volume, the mass or volume needed for a target molarity, and dilutions by C1V1 = C2V2.
Result
Molarity, mol/L: 0.100103
Arithmetic only. For handling and hazards, follow the substance’s safety data sheet.
- Mass of solute
- 5.85 g
- Volume of solution
- 1 L (1,000 mL)
- Moles of solute
- 0.100103
- Concentration, mass per volume
- 0.59%
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How to use the Molarity Calculator
- Choose what to calculate, molarity, a mass or volume for a target molarity, or one of the dilution unknowns.
- Enter the mass of solute, its molar mass in grams per mole, and the volume of solution, or the dilution values.
- Read the answer, the moles of solute, and the concentration as mass per volume.
The formulas
moles = mass in grams ÷ molar mass in g/molmolarity = moles ÷ volume of solution in litresmass = molarity × molar mass × volumevolume = mass ÷ (molarity × molar mass)dilution: C1 × V1 = C2 × V2Mass and volume can be entered in grams or kilograms and litres or millilitres; they are converted before the calculation. The mass-per-volume percentage is grams of solute per 100 mL of solution.
Dilution only goes one way
Adding solvent can only lower a concentration. If the target concentration is higher than the stock, or the final volume is smaller than the stock volume, the page says it cannot be done by dilution.
Safety
This page does the arithmetic and nothing else. Handling, storage and hazards of any substance are on its safety data sheet.
With your numbers
- Moles = 5.85 g ÷ 58.44 g/mol = 0.100103
- Molarity = 0.100103 mol ÷ 1 L = 0.100103 mol/L
Quick reference
Arithmetic only. For handling and hazards, follow the substance’s safety data sheet.
| Example | Result |
|---|---|
| 5.85 g of 58.44 g/mol in 1 L | Molarity, mol/L: 0.100103 |
| 58.44 g of 58.44 g/mol in 1 L | Molarity, mol/L: 1 |
| Mass for 2 L at 0.5 M | Mass of solute: 58.44 g |
| Volume for 58.44 g at 0.5 M | Volume of solution: 2 L |
| 10 mL of 5 M diluted to 0.5 M | Volume: 100 mL |
| Stock for 250 mL at 0.5 M from 5 M | Volume: 25 mL |
Common questions about the Molarity Calculator
- What is molarity?
- The amount of solute in moles per litre of solution, written mol/L or M. One mole of a substance weighs its molar mass in grams, so 58.44 g of a substance with a molar mass of 58.44 g/mol, dissolved to make exactly 1 litre, is 1 M.
- How do I dilute a stock solution?
- The amount of solute does not change when you add solvent, so C1 × V1 = C2 × V2. To make 250 mL at 0.5 M from a 5 M stock, take 25 mL of the stock and make it up to 250 mL. The page solves for the final volume, the stock volume or the final concentration.
- Where do I get the molar mass?
- From the chemical formula, by adding the atomic weights of its atoms, or from the label or data sheet. This page does not store compounds; enter the value you have.
- Is the volume of solvent or of solution?
- Of the final solution. Dissolving a solid changes the volume a little, so solutions are made up to the mark in a volumetric flask rather than by adding a measured volume of water.