Enter the concentration in grams per milliliter (g/mL) and select the solute to determine the molarity in mol/L.
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g/mL to Molarity Formula
The following formula is used to convert a concentration in grams per milliliter into molarity.
M = (C × 1000) / MM
Variables:
- M is the molarity in mol/L
- C is the concentration in g/mL
- MM is the molar mass of the solute in g/mol
To calculate molarity, multiply the concentration in g/mL by 1000 to convert it to grams per liter, then divide by the solute’s molar mass.
What is g/mL to Molarity?
A concentration in g/mL tells you how many grams of solute are present in each milliliter of solution. Molarity, on the other hand, measures how many moles of solute are present in each liter of solution. Converting from g/mL to molarity requires the molar mass of the selected solute, because different substances have different masses per mole.
For example, the same 0.10 g/mL concentration will produce different molarity values for sodium chloride, glucose, or hydrochloric acid because each compound has a different molar mass.
How to Convert g/mL to Molarity?
The following steps outline how to convert g/mL to molarity.
- First, determine the solution concentration in g/mL.
- Next, determine the molar mass of the solute in g/mol.
- Multiply the g/mL value by 1000 to convert the concentration to g/L.
- Finally, divide the result by the molar mass to calculate molarity in mol/L.
- Check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Concentration (C) = 0.10 g/mL
Molar Mass (MM) = 58.44 g/mol for sodium chloride (NaCl)
M = (0.10 × 1000) / 58.44 = 1.7112 mol/L
g/mL to Molarity Conversion Table
The table below lists example molarity values for a concentration of 1.0 g/mL for several common solutes.
| Solute | Molar Mass (g/mol) | 1.0 g/mL in mol/L |
|---|---|---|
| Sodium chloride (NaCl) | 58.44 | 17.11 mol/L |
| Potassium chloride (KCl) | 74.55 | 13.41 mol/L |
| Glucose (C₆H₁₂O₆) | 180.16 | 5.55 mol/L |
| Sucrose (C₁₂H₂₂O₁₁) | 342.30 | 2.92 mol/L |
| Hydrochloric acid (HCl) | 36.46 | 27.43 mol/L |
| Acetic acid (CH₃COOH) | 60.05 | 16.65 mol/L |
| Ethanol (C₂H₅OH) | 46.07 | 21.71 mol/L |
Knowing how to convert between g/mL and molarity makes it easier to compare solutions, prepare laboratory mixtures, and interpret concentration values reported in different formats.