Avogadro's Law and Molar Volume

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Questions and Answers

What does Avogadro's Law state about gases at a constant temperature and pressure?

  • The volume of a gas decreases as the pressure increases.
  • The volume of a gas is inversely proportional to its temperature.
  • The volume of a gas is directly proportional to the number of moles. (correct)
  • The volume of a gas is constant regardless of the number of moles.

What did Gay-Lussac conclude regarding the volumes of gases in chemical reactions?

  • Gaseous reactants and products have ratios of whole numbers. (correct)
  • The volume of gas only depends on temperature.
  • Gases react in equal volumes.
  • The volumes of gases are always unpredictable.

How did Avogadro's hypothesis contribute to the understanding of gas behavior?

  • It proposed that gas volume is not affected by pressure.
  • It indicated that the temperature of a gas has no effect on its volume.
  • It claimed that the density of gases is uniform under all conditions.
  • It suggested equal volumes of gases contain the same number of particles. (correct)

What relationship does the formula $ rac{n_1}{n_2} = rac{V_1}{V_2}$ represent in Avogadro's Law?

<p>The ratio of moles of gas to volume of gas. (D)</p> Signup and view all the answers

What occurs when more gas enters a container at constant temperature?

<p>The internal pressure will eventually equal external pressure. (B)</p> Signup and view all the answers

At STP, how much volume does 1.0 mol of carbon dioxide gas occupy?

<p>22.41 L (C)</p> Signup and view all the answers

Which of the following laws did Gay-Lussac's observations lead to?

<p>Law of Combining Volumes (A)</p> Signup and view all the answers

What must remain constant for Avogadro's Law to apply?

<p>Pressure and temperature (A)</p> Signup and view all the answers

Flashcards

Law of Combining Volumes

States that the volumes of gaseous reactants and products, measured under the same conditions of temperature and pressure, are always whole number ratios.

Avogadro's Law

A law that explains the relationship between the volume of a gas and the number of moles of the gas. It states that the volume of a gas at constant temperature and pressure is directly proportional to the number of moles.

Molar Volume

At standard temperature and pressure (STP), one mole of any ideal gas occupies a volume of 22.41 liters.

Avogadro's Hypothesis

Amadeo Avogadro proposed that equal volumes of gases contain the same number of particles, explaining Gay-Lussac's observation of combining volumes.

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Pressure and Volume Relationship

The pressure inside a container will increase when more gas enters, because the gas molecules collide more frequently with the container walls. This increased pressure can cause the volume to expand until equilibrium is reached.

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Mathematical Expression of Avogadro's Law

The mathematical expression of Avogadro's Law, relating the number of moles of gas to the volume it occupies.

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Kinetic Molecular Theory (KMT)

A concept in which gas molecules are constantly moving randomly in a container, and collisions with the container walls generate pressure.

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Equilibrium

The conditions where the pressure of the gas is equal to the external pressure.

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Study Notes

Avogadro's Law and Molar Volume

  • Avogadro's Law proposes that equal volumes of gases, at the same temperature and pressure, contain the same number of particles.
  • Gay-Lussac's Law of Combining Volumes states that the volumes of gaseous reactants and products, measured under the same conditions of temperature and pressure, are always whole number ratios.
  • Avogadro's hypothesis explained Gay-Lussac's observations. This hypothesis was initially met with skepticism, but eventually gained acceptance.
  • The volume of a gas is directly proportional to the number of moles (n) of the gas, as long as the temperature and pressure are held constant. This relationship is expressed as V ∝ n.

Molar Volume

  • The molar volume (v) is the volume occupied by one mole of a gas.
  • At standard temperature and pressure (STP), the molar volume is 22.4 L/mol.
  • At standard ambient temperature and pressure (SATP), the molar volume is 24.8 L/mol.
  • These molar volumes are similar for all gases.
  • Molar volume is a conversion factor that can be used for conversions between moles of a gas and its volume when conditions are standard.

Mathematical Expression of Avogadro's Law

  • Under constant temperature and pressure, the ratio of the initial volume (V₁) to the number of moles (n₁) is equal to the ratio of the final volume (V₂) to the number of moles (n₂). This is expressed as: n₁/V₁ = n₂/V₂.

Examples

  • Examples of calculations are provided demonstrating how to use the molar volume constant to convert moles to volume or volume to moles under standard conditions.
  • Example problems show how to use ratios and conversion factors to solve gas law problems.

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