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Chapter 1: Problem 21

State Avogadro's law.

Short Answer

Expert verified
Answer: Avogadro's Law states that, at the same temperature and pressure, equal volumes of all ideal gases contain the same number of particles, or moles. To explain this, let's take an example of two different gases (gas A and gas B) that are kept at the same temperature and pressure conditions. If both gas A and gas B occupy a volume of 10 liters, then according to Avogadro's law, they both contain the same number of moles. So if gas A has 2 moles, gas B should also have 2 moles.

Step by step solution

01

State Avogadro's Law

Avogadro's law states that, at the same temperature and pressure, equal volumes of all ideal gases contain the same number of particles, or moles. It is named after the Italian scientist Amedeo Avogadro. The relationship can be represented mathematically as: V 鈭� n Where, V = volume of the gas, n = number of moles of the gas, and 鈭� indicates proportionality.
02

Explain Avogadro's Law with an example

To better understand Avogadro's law, imagine two different gases (gas A and gas B) that are kept at the same temperature and pressure conditions. Let's say both gas A and gas B occupy a volume of 10 liters. According to Avogadro's law, since both gases occupy the same volume and are under the same temperature and pressure conditions, they both contain the same number of moles. So if gas A has 2 moles, gas B should also have 2 moles.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Ideal Gases
Understanding the concept of ideal gases is crucial when discussing Avogadro's Law. Ideal gases are theoretical gases composed of many randomly moving particles that are not subject to intermolecular forces. They follow the ideal gas law perfectly, represented by the formula \( PV = nRT \). In this equation:
  • \(P\) indicates the pressure of the gas.
  • \(V\) is the volume.
  • \(n\) is the number of moles.
  • \(R\) is the ideal gas constant.
  • \(T\) denotes the temperature in Kelvin.
Ideal gases are a simplified model used to predict the behavior of real gases under various conditions. They help in making calculations involving Avogadro's Law simpler and are a key conceptual tool in understanding gas laws.
Moles
In chemistry, a mole is a measurement unit that represents a specific number of molecules, atoms, or particles. This number is Avogadro鈥檚 number, approximately \(6.022 \times 10^{23}\). When Avogadro's Law speaks of moles, it's essential to grasp that:
  • One mole of any substance contains the same number of particles as one mole of any other substance.
  • Moles offer a bridge between the microscopic world of atoms and the macroscopic world we can measure.
In Avogadro鈥檚 Law, the concept of moles allows us to equate the volume of gases directly with the quantity of particles they contain. This is a cornerstone of understanding chemical reactions and gas behavior.
Volume of Gas
The volume of gas is a key factor in understanding Avogadro's Law. Volume is the space that gas occupies, typically measured in liters or cubic meters. According to the law, when temperature and pressure are constant, equal volumes of ideal gases will have an equal number of moles. This brings about the relationship \(V \propto n\).
  • When the number of moles increases, the volume increases proportionally.
  • This relationship holds as long as temperature and pressure remain unchanged.
It's crucial to remember that gases will expand or compress with changes in conditions, affecting volume. But under identical conditions, volume is directly related to the number of moles because of Avogadro's Law.
Proportionality
Proportionality is a fundamental mathematical concept that illustrates how two variables change together. In the context of Avogadro's Law, proportionality is symbolized as \(V \propto n\). This means that:
  • The volume \(V\) of a gas is directly proportional to the number of moles \(n\).
  • Doubling the number of moles will double the volume if pressure and temperature are constant.
Understanding proportionality helps in simplifying calculations in the study of gases. It clarifies why, regardless of what gas you have, as long as the conditions are the same, the volume is determined by the number of particles present.
Amedeo Avogadro
Amedeo Avogadro was an Italian scientist who made significant contributions to the field of molecular theory. His most notable achievement, Avogadro's Law, provides key insights into gas behavior. He proposed the idea that equal volumes of gases, at the same temperature and pressure, contain an equal number of particles or moles.
  • Born in 1776, Avogadro's work laid the groundwork for the understanding of the mole concept.
  • His ideas were initially met with skepticism but later formed a crucial part of modern chemistry.
Avogadro's legacy continues in the many fields where gas laws are applied, influencing both theoretical studies and practical applications in chemistry and physics.

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Most popular questions from this chapter

Calculate the volume occupied by \(11 \mathrm{~g}\) of \(\mathrm{CO}_{2}\) gas at STP.

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Define molarity.

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