EngineeringMass, volume and flow rateUniversity
IBUndergraduate

Molar volume Calculator

Calculates the volume occupied by one mole of a substance.

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Molar Volume

Formula first

Overview

Molar volume is the volume-per-mole analogue of specific volume. In thermodynamics it often appears as V/n, and for a pure substance it can also be written as molar mass divided by density.

Symbols

Variables

V_{\mathrm{m}} = Molar Volume, V = Volume, n = Amount of Substance, M = Molar Mass, = Density

Molar Volume
Volume
Amount of Substance
mol
Molar Mass
kg/mol
Density

Apply it well

When To Use

When to use: Use this equation when you know the volume and amount of substance, or when density and molar mass are given and you need the volume per mole.

Why it matters: Molar volume is common in gas calculations, property tables, and thermodynamic state relations. It is especially useful when you want to move between a bulk volume description and a mole-based description.

Avoid these traps

Common Mistakes

  • Using mass instead of molar mass in the M / rho form.
  • Mixing litres and cubic metres without converting.

One free problem

Practice Problem

A gas occupies 0.048 and contains 2 mol. What is its molar volume?

Volume0.048 m^3
Amount of Substance2 mol

Solve for: molarVolume

Hint: Divide volume by amount of substance.

The full worked solution stays in the interactive walkthrough.

References

Sources

  1. IUPAC Gold Book, molar volume, accessed 2026-04-09
  2. Engineering LibreTexts, 2.7: Key Equations, Introduction to Engineering Thermodynamics, accessed 2026-04-09
  3. Chemistry LibreTexts, 9.3: Stoichiometry of Gaseous Substances, Mixtures, and Reactions, accessed 2026-04-09
  4. NIST CODATA
  5. IUPAC Gold Book
  6. Wikipedia: Molar volume
  7. Wikipedia: Molar mass
  8. Wikipedia: Density