How Many Moles Of Mg Are Present In 2.50 × 10 25 2.50 \times 10^{25} 2.50 × 1 0 25 Atoms Of Mg?A. 4.15 × 10 47 4.15 \times 10^{47} 4.15 × 1 0 47 Moles Mg B. 41.5 Moles Mg C. 1.51 × 10 9 1.51 \times 10^{9} 1.51 × 1 0 9 Moles Mg D. 0.415 Moles Mg

Mar 10, 2025 by ADMIN 248 views

**Understanding the Relationship Between Atoms and Moles in Chemistry**

Chemistry is a vast and fascinating field that deals with the study of matter, its properties, and the changes it undergoes. One of the fundamental concepts in chemistry is the relationship between atoms and moles. In this article, we will delve into the world of chemistry and explore how to calculate the number of moles of a substance present in a given number of atoms.

The Avogadro's Number: A Key Concept in Chemistry

To understand the relationship between atoms and moles, we need to introduce the concept of Avogadro's number. Avogadro's number is a fundamental constant in chemistry that represents the number of particles (atoms or molecules) present in one mole of a substance. The value of Avogadro's number is approximately $6.022 \times 10^{23}$ particles per mole.

Calculating Moles from Atoms

Now that we have introduced Avogadro's number, we can proceed to calculate the number of moles of a substance present in a given number of atoms. The formula to calculate the number of moles from atoms is:

moles = number of atoms / Avogadro's number

Applying the Formula to the Given Problem

Let's apply the formula to the given problem. We are asked to find the number of moles of Mg present in $2.50 \times 10^{25}$ atoms of Mg. Using the formula, we can calculate the number of moles as follows:

moles = $2.50 \times 10^{25}$ atoms / $6.022 \times 10^{23}$ particles per mole

To simplify the calculation, we can divide the numerator and denominator by $10^{23}$ :

moles = ( $2.50 \times 10^{2}$ ) / 6.022

moles = 41.5 moles

Conclusion

In conclusion, we have successfully calculated the number of moles of Mg present in $2.50 \times 10^{25}$ atoms of Mg. The correct answer is 41.5 moles Mg.

Understanding the Significance of Avogadro's Number

Avogadro's number is a fundamental constant in chemistry that represents the number of particles (atoms or molecules) present in one mole of a substance. It is a crucial concept in chemistry that helps us understand the relationship between atoms and moles.

Real-World Applications of Avogadro's Number

Avogadro's number has numerous real-world applications in chemistry and other fields. Some of the applications include:

Calculating the number of moles of a substance present in a given number of atoms
Determining the molar mass of a substance
Understanding the behavior of gases and liquids
Calculating the number of particles present in a given volume of a substance

Common Mistakes to Avoid When Calculating Moles

When calculating moles from atoms, it is essential to avoid common mistakes. Some of the mistakes include:

Forgetting to use Avogadro's number
Using the wrong value of Avogadro's number
Not simplifying the calculation
Not checking the units of the answer

Conclusion

In conclusion, we have explored the relationship between atoms and moles in chemistry. We have introduced Avogadro's number and applied the formula to calculate the number of moles of Mg present in $2.50 \times 10^{25}$ atoms of Mg. We have also discussed the significance of Avogadro's number and its real-world applications. Finally, we have highlighted common mistakes to avoid when calculating moles.

Frequently Asked Questions

Q: What is Avogadro's number? A: Avogadro's number is a fundamental constant in chemistry that represents the number of particles (atoms or molecules) present in one mole of a substance.

Q: How do I calculate the number of moles from atoms? A: To calculate the number of moles from atoms, you can use the formula: moles = number of atoms / Avogadro's number.

Q: What is the significance of Avogadro's number? A: Avogadro's number is a crucial concept in chemistry that helps us understand the relationship between atoms and moles.

Q: What are some real-world applications of Avogadro's number? A: Some of the real-world applications of Avogadro's number include calculating the number of moles of a substance present in a given number of atoms, determining the molar mass of a substance, understanding the behavior of gases and liquids, and calculating the number of particles present in a given volume of a substance.

In our previous article, we explored the relationship between atoms and moles in chemistry. We introduced Avogadro's number and applied the formula to calculate the number of moles of Mg present in $2.50 \times 10^{25}$ atoms of Mg. In this article, we will continue to answer some of the most frequently asked questions related to the topic.

Q: What is Avogadro's number?

A: Avogadro's number is a fundamental constant in chemistry that represents the number of particles (atoms or molecules) present in one mole of a substance. The value of Avogadro's number is approximately $6.022 \times 10^{23}$ particles per mole.

Q: How do I calculate the number of moles from atoms?

A: To calculate the number of moles from atoms, you can use the formula: moles = number of atoms / Avogadro's number. For example, if you have $2.50 \times 10^{25}$ atoms of Mg, you can calculate the number of moles as follows:

moles = $2.50 \times 10^{25}$ atoms / $6.022 \times 10^{23}$ particles per mole

moles = ( $2.50 \times 10^{2}$ ) / 6.022

moles = 41.5 moles

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

A: Avogadro's number is a crucial concept in chemistry that helps us understand the relationship between atoms and moles. It allows us to calculate the number of moles of a substance present in a given number of atoms, which is essential in many chemical reactions and processes.

Q: What are some real-world applications of Avogadro's number?

A: Some of the real-world applications of Avogadro's number include:

Calculating the number of moles of a substance present in a given number of atoms
Determining the molar mass of a substance
Understanding the behavior of gases and liquids
Calculating the number of particles present in a given volume of a substance

Q: What are some common mistakes to avoid when calculating moles?

A: Some common mistakes to avoid when calculating moles include:

Forgetting to use Avogadro's number
Using the wrong value of Avogadro's number
Not simplifying the calculation
Not checking the units of the answer

Q: How do I determine the molar mass of a substance?

A: To determine the molar mass of a substance, you can use the formula: molar mass = mass of substance / number of moles. For example, if you have 10 grams of Mg and you want to calculate its molar mass, you can use the following formula:

molar mass = 10 g / 0.415 moles

molar mass = 24.1 g/mol

Q: What is the difference between atoms and molecules?

A: Atoms are the building blocks of matter, and they are the smallest units of a chemical element. Molecules, on the other hand, are groups of atoms that are chemically bonded together. For example, oxygen gas (O2) is a molecule that consists of two oxygen atoms.

Q: How do I calculate the number of particles present in a given volume of a substance?

A: To calculate the number of particles present in a given volume of a substance, you can use the formula: number of particles = volume of substance / volume of one particle. For example, if you have 1 liter of water and you want to calculate the number of water molecules present in it, you can use the following formula:

number of particles = 1 L / 0.018 L/molecule

number of particles = 55.6 molecules

Conclusion

In conclusion, we have answered some of the most frequently asked questions related to the relationship between atoms and moles in chemistry. We have introduced Avogadro's number and applied the formula to calculate the number of moles of Mg present in $2.50 \times 10^{25}$ atoms of Mg. We have also discussed the significance of Avogadro's number and its real-world applications. Finally, we have highlighted common mistakes to avoid when calculating moles.

Frequently Asked Questions

Q: What is Avogadro's number? A: Avogadro's number is a fundamental constant in chemistry that represents the number of particles (atoms or molecules) present in one mole of a substance.

Q: How do I calculate the number of moles from atoms? A: To calculate the number of moles from atoms, you can use the formula: moles = number of atoms / Avogadro's number.

Q: What is the significance of Avogadro's number? A: Avogadro's number is a crucial concept in chemistry that helps us understand the relationship between atoms and moles.

Q: What are some common mistakes to avoid when calculating moles? A: Some common mistakes to avoid when calculating moles include forgetting to use Avogadro's number, using the wrong value of Avogadro's number, not simplifying the calculation, and not checking the units of the answer.