Molarity Formula

Molarity is the most common unit of concentration in chemistry. It measures the number of moles of solute dissolved per liter of solution. Molarity is essential for stoichiometric calculations, dilutions, and preparing solutions in laboratory settings.

The Molarity Formula

M = n / V

Molarity equals moles divided by volume

Variable Definitions

M = Molarity

Units: mol/L (moles per liter) or M (molar)

Meaning: The concentration of solute in the solution

n = Moles of Solute

Units: mol (moles)

Meaning: The amount of substance dissolved in the solution

๐Ÿ’ก To find moles: n = mass / molar mass

V = Volume of Solution

Units: L (liters)

Meaning: The total volume of the solution (not just solvent)

โš ๏ธ Convert mL to L by dividing by 1000

Rearranged Forms

The molarity formula can be rearranged to solve for different variables depending on what you know:

Find Moles

n = M ร— V

Use when you know molarity and volume

Find Volume

V = n / M

Use when you know moles and molarity

Find Molarity

M = n / V

The original formula

Step-by-Step Example

Problem: What is the molarity of a solution containing 5.85 g of NaCl in 250 mL of water?

Step 1: Convert mass to moles

Molar mass of NaCl = 58.5 g/mol

n = 5.85 g รท 58.5 g/mol = 0.100 mol

Step 2: Convert mL to L

V = 250 mL รท 1000 = 0.250 L

Step 3: Calculate molarity

M = n / V = 0.100 mol / 0.250 L = 0.400 M

Answer: The molarity is 0.400 M (or 0.400 mol/L)

Where This Formula Is Used

๐ŸŽ“ Education

  • High school chemistry courses
  • College general chemistry
  • AP Chemistry exams
  • Stoichiometry problems

๐Ÿ”ฌ Laboratory

  • Preparing standard solutions
  • Titration calculations
  • Analytical chemistry
  • Quality control testing

๐Ÿญ Industry

  • Pharmaceutical manufacturing
  • Chemical production
  • Water treatment
  • Food and beverage processing

๐Ÿงช Research

  • Biochemistry experiments
  • Material science
  • Environmental testing
  • Medical research

Common Mistakes to Avoid

โŒ Using mL instead of L

Always convert volume to liters! 250 mL = 0.250 L, not 250 L

โŒ Confusing mass with moles

Don't plug grams directly into the formula. Convert to moles first using molar mass.

โŒ Using solvent volume instead of solution volume

V is the total solution volume, not just the volume of water added. The final volume may differ!

โŒ Forgetting significant figures

Your answer should have the same number of significant figures as your least precise measurement.

Related Calculators

Use these interactive calculators to apply the molarity formula:

Frequently Asked Questions

What is the molarity formula?

The molarity formula is M = n / V, where M is molarity (mol/L), n is moles of solute, and V is volume of solution in liters. It calculates the concentration of a solution.

What units are used in the molarity formula?

Molarity (M) is expressed in mol/L or M. Moles (n) are in mol, and volume (V) must be in liters (L). Always convert mL to L by dividing by 1000.

Can the molarity formula be rearranged?

Yes! You can rearrange it to n = M ร— V (to find moles) or V = n / M (to find volume). The rearrangement depends on which variable you're solving for.

How do I convert grams to moles for the molarity formula?

Divide the mass in grams by the molar mass: n = mass (g) / molar mass (g/mol). For example, 10 g of NaCl (58.5 g/mol) = 10 / 58.5 = 0.171 mol.

What's the difference between molarity and molality?

Molarity (M) uses liters of solution, while molality (m) uses kilograms of solvent. Molarity changes with temperature because volume changes, but molality doesn't.

Why is molarity the most common concentration unit?

Molarity is easy to measure (volume is simpler than mass), directly relates to stoichiometry, and works well for most laboratory calculations and reactions in solution.

How do you dilute a solution using molarity?

Use the dilution formula Mโ‚Vโ‚ = Mโ‚‚Vโ‚‚, where subscript 1 is the concentrated solution and subscript 2 is the diluted solution. This formula derives from the molarity formula.

Related Calculators

Use these calculators to apply the molarity formula in practical chemistry problems: