% Concentration to Molarity
Convert mass percentage to molar concentration
โ What This Calculator Is & Why It Matters
This calculator converts a solution's mass percentage (w/w%) directly into Molarity (mol/L) by utilizing the solution's specific gravity (density).
Why does it matter? Chemical suppliers ship concentrated reagents (like 37% Hydrochloric Acid or 98% Sulfuric Acid) labeled with mass percentages. However, lab protocols require Molarity. You cannot perform a dilution until you mathematically convert that bottle's percentage into a molar concentration.
โ The Formula Explained Simply
This conversion requires three factors: Percentage, Density, and Molar Mass:
Molarity = (% Concentration ร Density ร 10) / Molar Mass
*(The factor of 10 converts the units from g/mL to g/L).*
โ 3-5 Real-World Examples
Example 1: Concentrated HCl
A bottle of 37% HCl has a density of 1.19 g/mL. (Molar Mass = 36.46).
Result: (37 ร 1.19 ร 10) / 36.46 = 12.07 Molar (12 M).
Example 2: Concentrated HโSOโ
A bottle of 98% Sulfuric Acid has a density of 1.84 g/mL. (Molar Mass = 98.08).
Result: (98 ร 1.84 ร 10) / 98.08 = 18.38 Molar (18 M).
โ FAQ Section (Google PAA Targeted)
Why do I need the density of the solution?
Because percentage is based on mass (grams), and molarity is based on volume (Liters). Density (g/mL) is the only mathematical bridge that allows you to convert between a mass and a volume.
Can I assume the density is 1.0 g/mL?
Absolutely not. Concentrated acids and heavy salt solutions are much denser than water. Assuming a density of 1.0 for concentrated sulfuric acid will throw your molarity off by almost 100%.
โ Pro-Tips for Reagent Conversion
- Read the Bottle: The exact density (Specific Gravity) and assay percentage are always printed on the Certificate of Analysis (CoA) or the bottle label of commercial chemicals. Use those exact numbers, not textbook averages.
โ Related Calculators
โ AI Explanation of Results
Our AI contains a library of standard commercial reagent densities (like 70% Nitric Acid or 30% Hydrogen Peroxide) and will flag your input if the density you provide does not logically match the percentage entered.
About the Percentage Concentration to Molarity Calculator
Calculate molarity, molality, normality, ppm, or mole fraction for solution preparations. Perfect for analytical chemistry lab setup.
This precision chemistry tool is designed for academic reference, laboratory workflows, and student education. It provides instant, real-time computational results with standard formulas and dimensional analysis inputs.