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Avogadro's Law

subtopiceasy~10 min study8 MCQ

States that equal volumes of all gases at the same temperature and pressure contain an equal number of molecules.

What is Avogadro's Law?

A law stating that equal volumes of all gases, at the same temperature and pressure, contain the same number of molecules.

Key formula / rule: Avogadro's Law (Proportionality)

Key points

  • State Avogadro's Law correctly.
  • Explain the relationship between gas volume and the number of molecules.
  • Apply Avogadro's Law to solve problems involving gases.
  • Understand the concept of molar volume.

Common exam trap

Confusing Avogadro's Law with Boyle's Law, Charles's Law, or Gay-Lussac's Law.

Definitions

Term

Avogadro's Law

Meaning

A law stating that equal volumes of all gases, at the same temperature and pressure, contain the same number of molecules.

Term

Molar Volume

Meaning

The volume occupied by one mole of a substance (typically a gas) at a given temperature and pressure.

Term

STP (Standard Temperature and Pressure)

Meaning

A set of conditions defined as 0°C (273.15 K) and 1 atm pressure, used for standardizing gas measurements.

Term

SATP (Standard Ambient Temperature and Pressure)

Meaning

A set of conditions defined as 25°C (298.15 K) and 1 bar pressure, used for standardizing gas measurements.

Learning objectives

  • State Avogadro's Law correctly.

  • Explain the relationship between gas volume and the number of molecules.

  • Apply Avogadro's Law to solve problems involving gases.

  • Understand the concept of molar volume.

  • Relate Avogadro's Law to stoichiometry.

Formulae

Name

Avogadro's Law (Proportionality)

Note

Volume is directly proportional to the number of moles (or molecules) if temperature and pressure are constant.

Expression

V ∝ n (at constant T and P)

Name

Avogadro's Law (Ratio Form)

Note

Used for comparing two states of the same gas or different gases under identical conditions.

Expression

V1/n1 = V2/n2 (at constant T and P)

Name

Molar Volume at STP

Note

Applies to ideal gases at Standard Temperature and Pressure (0°C or 273.15 K and 1 atm).

Expression

Molar Volume = 22.4 L/mol

Name

Molar Volume at SATP

Note

Applies to ideal gases at Standard Ambient Temperature and Pressure (25°C or 298.15 K and 1 bar).

Expression

Molar Volume = 24.8 L/mol

Name

Number of Molecules

Note

NA ≈ 6.022 × 1023 mol⁻¹

Expression

Number of molecules = Number of moles × Avogadro's number (NA)

Prerequisites

  • Basic understanding of gases.

  • Concept of temperature and pressure.

  • Understanding of molecules and moles.

  • Proportionality relationships.

Common mistakes

  • Confusing Avogadro's Law with Boyle's Law, Charles's Law, or Gay-Lussac's Law.

  • Forgetting to keep temperature and pressure constant when applying the law.

  • Incorrectly applying the proportionality without considering the conditions.

  • Using molar volume values without specifying the conditions (STP vs. SATP).

Keywords

  • Avogadro's Law

  • Gas Laws

  • Molar Volume

  • STP

  • SATP

  • Number of Molecules

  • Moles

  • Volume

  • Temperature

  • Pressure

  • Stoichiometry

Practice preview

  • Consider two gases, Hydrogen (H2) and Oxygen (O2), each occupying a volume of 10 litres at 27°C and 1 atm pressure. Which statement is correct regarding the number of molecules in these gases?

    medium

  • According to Avogadro's Law, equal volumes of all gases at the same temperature and pressure contain:

    easy

  • Which of the following statements is NOT true regarding Avogadro's Law?

    hard