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Chapter 3: Problem 58

What is Avogadro's number?

Short Answer

Expert verified
Avogadro's number is \(6.02214076 脳 10^{23}\) particles per mole.

Step by step solution

01

Identify the constant

Avogadro's number, also known as Avogadro's Constant, is the number of constituent particles, such as atoms, molecules, ions or electrons, in one mole of a given substance. Its value is always the same.

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Key Concepts

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

Mole
The concept of a "mole" is a fundamental idea in chemistry and is similar to terms like dozen or pair, but instead of representing 12 or 2, respectively, a mole represents a much larger number. It serves as a counting unit for chemists, enabling them to count particles, such as atoms or molecules, in a consistent and manageable way.

A mole is defined as exactly 6.022 x 10^{23} of some chemical unit, be it atoms, molecules, or ions. This quantity, known as Avogadro's number, allows scientists to describe the tiny particles involved in chemical reactions using numbers that are easier to work with on a macroscopic scale.
  • Just like you might use a dozen to easily count egg cartons, a mole lets chemists count particles efficiently.
  • Using moles helps in converting atomic scale measurements to human-scale numbers, aiding in calculations and understanding chemical reactions thoroughly.
  • The mole is central to stoichiometry, which is the calculation of reactants and products in chemical reactions.
Constant
Avogadro's constant, often simply referred to as Avogadro's number, is a fixed value used in chemistry to relate quantities of a substance at the macroscopic level to numbers of atoms, molecules, or other entities at the atomic level. It is crucial because the mass of individual molecules or atoms is so tiny that it's impractical to use grams or other larger units directly for counting.

The significance of a constant like Avogadro's:
  • Consistency: It provides a constant measure for comparing chemical reactions, ensuring that everyone is using the same standard reference.
  • Relatability: By using Avogadro's constant, chemists can easily relate a sizeable measurable quantity, like moles, to the actual number of particles involved.
  • Precision: Having a constant helps in carrying out precise calculations necessary for understanding chemical compositions and reactions.
Using constants ensures everyone can communicate scientifically with accuracy regardless of where they are in the world.
Particles Count
Counting particles such as atoms, molecules, or ions is fundamental to chemical science. Atomic and molecular dimensions are incredibly small, making it impractical to count them in ordinary units like grams or kilograms individually. This is where Avogadro's number becomes incredibly useful. By describing large numbers of particles, it provides a bridge between the microscopic world of atoms and molecules and our macroscopic world that can be measured in the lab.

Here's what makes particle count so essential:
  • Scale: Since molecules and atoms are extremely tiny, counting them using regular numbers isn't feasible. Using Avogadro's number helps provide manageable figures.
  • Measurability: It allows chemists to work with quantities that can be effectively measured and tested in real-world laboratory settings.
  • Practicality: Without such a concept, it would be nearly impossible to accurately tally and quantify reactions at the molecular level, hindering research and applications in chemistry.
Counting particles accurately is essential for research, industry, and many scientific endeavors, making Avogadro鈥檚 number a cornerstone of molecular chemistry.

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Most popular questions from this chapter

Many elements exist as polyatomic molecules. Use atomic masses to calculate the molecular masses of the following: \begin{equation} \begin{array}{l}{\text { a. } \mathrm{O}_{2}} \\ {\text { b. } \mathrm{P}_{4}} \\ {\text { c. } \mathrm{S}_{8}}\end{array} \end{equation}

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