Molarity Calculator: Calculate Moles, Volume & Solution Concentration – Chemistry Tool

Free molarity calculator to calculate molar concentration from mass and molecular weight. Includes dilution calculator, moles calculator, and comprehensive reference data for chemistry solutions.

Molarity Calculator

Calculate Molarity, Moles & Solution Concentration - Complete Chemistry Tool

🧪 Pro Tips for Molarity Calculations: Molarity = moles / liters of solution. Use molecular weight to convert mass to moles. Measure total solution volume (not just solvent). Temperature affects volume - standard is 25°C. Use volumetric flasks for accurate measurements. Always record actual concentration, not just calculated value. Account for solute solubility limits.

Calculate Molarity from Mass and Volume

Formula:
M = m / (MW × V)

M = Molarity (mol/L)
m = Mass of solute (g)
MW = Molecular Weight (g/mol)
V = Volume of solution (L)
g/mol (g per mole)
Calculation Information:
  • Enter mass of solute dissolved
  • Enter molecular weight of compound
  • Enter total volume of final solution
  • Volume includes solute and solvent
  • Result in mol/L (molar concentration)
✅ Molarity Calculation Results:

Calculate Moles from Mass

Formula:
n = m / MW

n = Number of moles (mol)
m = Mass (g)
MW = Molecular Weight (g/mol)
✅ Moles Calculation Results:

Calculate Volume for Specific Molarity

Formula:
V = n / M = (m / MW) / M

V = Volume needed (L)
n = Moles needed (mol)
M = Desired molarity (mol/L)
M (mol/L)
✅ Volume Calculation Results:

Solution Dilution Calculator

Formula:
M₁V₁ = M₂V₂

M₁ = Initial molarity
V₁ = Initial volume
M₂ = Final molarity
V₂ = Final volume
Dilution Information:
  • Enter three known values to find unknown
  • Leave one field blank (the unknown)
  • All volumes must be in same units
  • Moles of solute conserved during dilution
  • Used for preparing solutions from stock solutions
✅ Dilution Calculation Results:

Molarity Reference & Common Solutions

Common Compound Molecular Weights:
Compound Formula MW (g/mol) Common Uses
Sodium Chloride NaCl 58.44 Buffer, saline solutions
Potassium Nitrate KNO₃ 101.10 Analytical chemistry
Hydrochloric Acid HCl 36.46 Titrations, lab standard
Sodium Hydroxide NaOH 40.00 Titrations, pH adjustment
Glucose C₆H₁₂O₆ 180.16 Biological solutions
Ethanol C₂H₅OH 46.07 Lab solvent
Acetic Acid CH₃COOH 60.05 Buffer solutions
Sulfuric Acid H₂SO₄ 98.08 Lab reagent
Solution Preparation Guidelines:
Standard Solution Concentrations:
  • Very Dilute: 0.001 M - 0.01 M (analytical work)
  • Dilute: 0.01 M - 0.1 M (common lab)
  • Standard: 0.1 M - 1 M (typical preparations)
  • Concentrated: 1 M - 10 M (stock solutions)
  • Very Concentrated: 10M+ (industrial)
Best Practices:
  • Use volumetric flasks for accurate measurements
  • Dissolve in small volume, then dilute to mark
  • Allow temperature equilibration (25°C standard)
  • Mix thoroughly before use or storage
  • Label with concentration, date, preparer
  • Store in appropriate containers for chemical
🧪 Understanding Molarity & Solution Concentration
What is Molarity?:

Molarity (M), also called molar concentration, measures amount of solute dissolved per liter of total solution. SI-derived unit: mol/L or M. Fundamental concept in chemistry for controlling precise quantities in reactions and experiments. Temperature-dependent (volume changes with temperature). Standard reference: 25°C (298.15 K).

Key Relationships:
  • Molarity Formula: M = n/V (moles per liter)
  • Using Molecular Weight: M = (mass/MW) / volume
  • Dilution Formula: M₁V₁ = M₂V₂ (moles conserved)
  • Density Relationship: Different compounds at same molarity have different densities
Solution Preparation Process:
  • Calculate mass needed: m = M × V × MW
  • Weigh solute on analytical balance
  • Dissolve in small volume of solvent
  • Transfer completely to volumetric flask
  • Rinse container and add rinse to flask
  • Fill to mark with solvent (near eye level)
  • Cap and invert 10-15 times to mix
  • Allow temperature equilibration
  • Label with molarity, date, and initials
Common Molarity Applications:
  • Laboratory: Analytical procedures, reactions, titrations
  • Pharmaceutical: Drug formulation, IV solutions
  • Industrial: Chemical manufacturing, quality control
  • Biology: Culture media, enzyme assays, buffers
  • Education: Chemistry experiments, demonstrations
Important Terminology:
  • Solute: Substance being dissolved (usually solid)
  • Solvent: Dissolving medium (usually liquid, often water)
  • Solution: Homogeneous mixture of solute and solvent
  • Molar Mass: Mass of one mole (g/mol), numerically equals MW
  • Mole: 6.022 × 10²³ particles (Avogadro's number)
  • Stock Solution: Concentrated solution for dilution
❓ Frequently Asked Questions
How do you prepare 100 mL of 1 M NaCl solution? +
Calculate: m = 1 M × 0.1 L × 58.44 g/mol = 5.844 g. Weigh 5.844 g NaCl. Dissolve in small amount water. Transfer to 100 mL volumetric flask. Rinse container and add rinse. Fill to mark with water. Mix thoroughly. Label "1 M NaCl, [date], [initials]."
What's the difference between 1 M and 1 m solution? +
1 M (molarity): 1 mole solute per liter solution. 1 m (molality): 1 mole solute per kilogram solvent. Molarity temperature-dependent; molality temperature-independent. Molarity used in labs; molality in thermodynamics. Same solute gives different numerical values for each unit.
How do you dilute 100 mL of 2 M HCl to 0.5 M? +
Use M₁V₁ = M₂V₂: 2 M × 100 mL = 0.5 M × V₂. V₂ = 400 mL. Take 100 mL of 2 M HCl. Add to volumetric flask (ACID TO WATER). Dilute to 400 mL mark. Mix thoroughly. Result: 400 mL of 0.5 M HCl. Important: NEVER add water to acid - always add acid to water.
Why is volume important in molarity calculations? +
Volume is total solution (solute + solvent), not just solvent. Solute dissolving reduces available volume. Using solvent volume only underestimates molarity. Volumetric flasks deliver exact volume at marked line. Temperature changes volume - standard 25°C. Accurate volume = accurate molarity.
How accurate must molecular weight be? +
Use standard atomic weights from periodic table. Typically 4-6 significant figures. MW directly affects calculated molarity - error compounds. Example: NaCl = 58.44 g/mol (not 58 or 58.5). Use consistent precision throughout calculation. Check multiple sources for unusual compounds.
What's the maximum solubility consideration? +
Some compounds have maximum solubility limits. Can't prepare solution more concentrated than saturation point. Check solubility table for compound in your solvent. Temperature affects solubility - warm solutions dissolve more. Heating during preparation increases solubility. After cooling, excess solute may precipitate.
How to calculate molarity of commercial solutions? +
Use given density and percent composition. Example: 37% HCl, density 1.19 g/mL. Calculate: 1000 mL × 1.19 g/mL × 0.37 = 440 g HCl. Moles = 440 g / 36.46 g/mol = 12.1 M. Commercial solutions often 10-18 M (need dilution for typical use).