Solutionsโฑ 4 min read

Molarity

M = n / V

What is the Molarity?

Molarity (also called molar concentration) measures the number of moles of solute dissolved per liter of total solution. It's the most common way concentration is expressed in chemistry, since it directly connects to the amounts used in stoichiometric calculations.

A key detail: V is the total volume of the finished solution, not just the volume of solvent (like water) that was added โ€” dissolving a solute typically changes the total volume slightly.

What Each Variable Means

M
MolarityThe concentration of the solution. (mol/L, also written as M)
n
Moles of soluteThe amount of dissolved substance. (moles (mol))
V
Volume of solutionThe total volume of the solution โ€” not just the solvent added. (liters (L))

When to Use It

  • Expressing how concentrated a solution is
  • Preparing a solution of a target concentration from a known amount of solute
  • Converting between moles and volume in stoichiometry problems involving solutions
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Step-by-Step Example

Problem: Dissolve 2 mol of NaCl in water to make 0.5 L of solution. What is the molarity?

1
Identify the known values

Moles of solute and total solution volume.

n = 2 mol, V = 0.5 L
2
Apply the formula

Divide moles by volume.

M = 2 / 0.5
โœ“
Answer: M = 4 mol/L (written as 4 M)

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Common Mistakes

  • Mistake: Using the volume of solvent added instead of the total solution volume.

    Fix: V is the volume of the entire finished solution โ€” dissolving a solid solute can change the total volume, so measure the final solution, not just the water poured in.

  • Mistake: Forgetting to convert grams of solute to moles first.

    Fix: If given a mass instead of moles, divide by the substance's molar mass to get moles before applying M = n/V.

Practice Questions

  1. Dissolve 0.5 mol of KCl in 250 mL (0.25 L) of solution. Find the molarity.

  2. How many moles of solute are in 2 L of a 3 M solution?

    Hint: Rearrange M = n/V to solve for n.

Frequently Asked Questions

Is molarity the same as concentration by mass?

No โ€” molarity measures moles per liter, while mass concentration measures mass per volume (like g/L). They're related through the solute's molar mass but aren't interchangeable directly.

Does temperature affect molarity?

Slightly โ€” since volume can expand or contract with temperature, the molarity of a solution can shift a small amount as temperature changes, even though the moles of solute stay fixed.