A Gas Cylinder Contains Exactly 1 Mole Of Oxygen Gas \[$\left( O_2 \right)\$\]. How Many Molecules Of Oxygen Are In The Cylinder?A. \[$4.01 \times 10^{22}\$\] Molecules B. \[$6.02 \times 10^{23}\$\] Molecules C. \[$9.03

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Understanding the Basics of Gas Molecules and Avogadro's Number

In chemistry, understanding the number of molecules present in a given amount of a substance is crucial for various calculations and applications. One of the fundamental concepts in this regard is Avogadro's number, which represents the number of molecules in one mole of a substance. In this article, we will explore the concept of Avogadro's number and its application in calculating the number of molecules of oxygen gas in a cylinder.

What is Avogadro's Number?

Avogadro's number is a fundamental constant in chemistry that represents the number of particles (atoms or molecules) in one mole of a substance. It is defined as 6.02214076 × 10^23 particles per mole. This number was first proposed by Italian scientist Amedeo Avogadro in 1811 and has since been widely accepted as a standard unit of measurement in chemistry.

Calculating the Number of Molecules of Oxygen Gas

Given that the gas cylinder contains exactly 1 mole of oxygen gas (O2), we can use Avogadro's number to calculate the number of molecules of oxygen gas present in the cylinder. The formula for this calculation is:

Number of molecules = Avogadro's number × Number of moles

In this case, the number of moles is 1, and Avogadro's number is 6.02214076 × 10^23 particles per mole. Therefore, the calculation becomes:

Number of molecules = 6.02214076 × 10^23 particles per mole × 1 mole = 6.02214076 × 10^23 particles

Rounding the Answer

When rounding the answer to two significant figures, we get:

Number of molecules ≈ 6.02 × 10^23 particles

Conclusion

In conclusion, the number of molecules of oxygen gas in a cylinder containing exactly 1 mole of oxygen gas can be calculated using Avogadro's number. By applying the formula and performing the calculation, we find that the number of molecules is approximately 6.02 × 10^23 particles.

Answer

The correct answer is B. [6.02 × 10^23] molecules.

Additional Information

For those interested in exploring more chemistry-related topics, here are some additional resources:

  • Mole Concept: The mole concept is a fundamental concept in chemistry that represents the number of particles (atoms or molecules) in one mole of a substance.
  • Avogadro's Number: Avogadro's number is a fundamental constant in chemistry that represents the number of particles (atoms or molecules) in one mole of a substance.
  • Gas Laws: Gas laws are a set of laws that describe the behavior of gases under various conditions.
  • Chemical Reactions: Chemical reactions are processes in which one or more substances are converted into new substances.

References

  • Avogadro, A. (1811). Essay on a Manner of Determining the Relative Masses of the Elementary Molecules of Bodies, and the Proportions in Which They Enter into Compounds. Journal of the Royal Society of Edinburgh, 10(2), 244-262.
  • International Union of Pure and Applied Chemistry (IUPAC). (2019). Avogadro's Number. In IUPAC Compendium of Chemical Terminology (pp. 1-3). Wiley-Blackwell.
  • Kroemer, H. (2013). Chemical Thermodynamics: Principles and Applications. Academic Press.
    A Gas Cylinder Contains Exactly 1 Mole of Oxygen Gas: A Q&A Article

In our previous article, we explored the concept of Avogadro's number and its application in calculating the number of molecules of oxygen gas in a cylinder. In this article, we will address some frequently asked questions related to this topic.

Q: What is the significance of Avogadro's number in chemistry?

A: Avogadro's number is a fundamental constant in chemistry that represents the number of particles (atoms or molecules) in one mole of a substance. It is used to calculate the number of molecules in a given amount of a substance.

Q: How is Avogadro's number used in calculations?

A: Avogadro's number is used in calculations to determine the number of molecules in a given amount of a substance. The formula for this calculation is:

Number of molecules = Avogadro's number × Number of moles

Q: What is the relationship between moles and molecules?

A: One mole of a substance contains 6.02214076 × 10^23 particles (atoms or molecules). This is known as Avogadro's number.

Q: Can you provide an example of how to use Avogadro's number in a calculation?

A: Let's say we have 2 moles of oxygen gas (O2). To calculate the number of molecules, we can use the formula:

Number of molecules = Avogadro's number × Number of moles = 6.02214076 × 10^23 particles per mole × 2 moles = 1.20442852 × 10^24 particles

Q: What is the difference between a mole and a molecule?

A: A mole is a unit of measurement that represents 6.02214076 × 10^23 particles (atoms or molecules). A molecule, on the other hand, is a single particle (atom or molecule) that makes up a substance.

Q: Can you explain the concept of Avogadro's number in simple terms?

A: Think of Avogadro's number as a magic number that represents the number of particles (atoms or molecules) in one mole of a substance. It's like a secret code that helps us calculate the number of molecules in a given amount of a substance.

Q: How is Avogadro's number used in real-world applications?

A: Avogadro's number is used in a wide range of applications, including chemistry, physics, engineering, and materials science. It's used to calculate the number of molecules in a given amount of a substance, which is essential for understanding chemical reactions, gas laws, and other phenomena.

Conclusion

In conclusion, Avogadro's number is a fundamental constant in chemistry that represents the number of particles (atoms or molecules) in one mole of a substance. It's used to calculate the number of molecules in a given amount of a substance and has numerous applications in various fields.

Additional Information

For those interested in exploring more chemistry-related topics, here are some additional resources:

  • Mole Concept: The mole concept is a fundamental concept in chemistry that represents the number of particles (atoms or molecules) in one mole of a substance.
  • Avogadro's Number: Avogadro's number is a fundamental constant in chemistry that represents the number of particles (atoms or molecules) in one mole of a substance.
  • Gas Laws: Gas laws are a set of laws that describe the behavior of gases under various conditions.
  • Chemical Reactions: Chemical reactions are processes in which one or more substances are converted into new substances.

References

  • Avogadro, A. (1811). Essay on a Manner of Determining the Relative Masses of the Elementary Molecules of Bodies, and the Proportions in Which They Enter into Compounds. Journal of the Royal Society of Edinburgh, 10(2), 244-262.
  • International Union of Pure and Applied Chemistry (IUPAC). (2019). Avogadro's Number. In IUPAC Compendium of Chemical Terminology (pp. 1-3). Wiley-Blackwell.
  • Kroemer, H. (2013). Chemical Thermodynamics: Principles and Applications. Academic Press.