Avogadro's Law Calculator

Solve for volume or moles at constant temperature and pressure using V₁/n₁ = V₂/n₂. Leave one field blank.

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What is Avogadro's Law?

Avogadro's Law, formulated by Amedeo Avogadro in 1811, states that the volume of a gas is directly proportional to the number of moles when temperature and pressure remain constant.

V₁ / n₁ = V₂ / n₂

Molar Volume at STP

At Standard Temperature and Pressure (0°C = 273.15 K, 1 atm), one mole of any ideal gas occupies 22.4 liters.

MolesVolume at STP
0.5 mol11.2 L
1 mol22.4 L
2 mol44.8 L
5 mol112.0 L
10 mol224.0 L

Step-by-Step Example

Given: V₁ = 22.4 L, n₁ = 1.0 mol, n₂ = 3.0 mol. Find V₂.

1. Formula: V₂ = V₁ × n₂ / n₁
2. Substitute: V₂ = (22.4)(3.0) / 1.0
3. Calculate: V₂ = 67.2 L

Applications

  • Stoichiometry: Predicting gas volumes in chemical reactions at constant T and P.
  • Balloon inflation: Adding more gas (moles) increases volume proportionally.
  • STP calculations: Using 22.4 L/mol as a conversion factor at standard conditions.

Frequently Asked Questions

  • Avogadro's Law states that equal volumes of all gases at the same temperature and pressure contain the same number of molecules. The formula V₁/n₁ = V₂/n₂ shows that volume is directly proportional to the number of moles when T and P are constant.

  • At Standard Temperature and Pressure (STP: 0°C and 1 atm), one mole of any ideal gas occupies exactly 22.4 liters. This is known as the molar volume of an ideal gas at STP.

  • Use Avogadro's Law when temperature and pressure are constant and you need to find how volume changes with the amount (moles) of gas, or vice versa.