Molar Mass of a Single Oxygen Atom

Oct 13, 2025 by vinooalluri.com 78 views

Understanding the Problem

In this problem, we are asked to find the mass of 2.000 mol of oxygen atoms in grams. To solve this, we need to use the concept of molar mass and the given conversion factor between moles and atoms.

Step 1: Recall the Molar Mass of Oxygen

The molar mass of oxygen (O2) is 32.00 g/mol. However, since we are dealing with individual oxygen atoms, we need to find the molar mass of a single oxygen atom. We can do this by dividing the molar mass of O2 by 2, since there are two oxygen atoms in one molecule of O2.

Molar Mass of a Single Oxygen Atom

Molar mass of O2 = 32.00 g/mol Molar mass of a single oxygen atom = 32.00 g/mol / 2 = 16.00 g/mol

Step 2: Convert Moles to Atoms

We are given that 1 mole = 6.022 × 10^23 atoms. We can use this conversion factor to convert 2.000 mol of oxygen atoms to the number of individual atoms.

Conversion Factor

1 mole = 6.022 × 10^23 atoms 2.000 mol = 2.000 × 1 mole = 2.000 × 6.022 × 10^23 atoms

Number of Oxygen Atoms

Number of oxygen atoms = 2.000 × 6.022 × 10^23 atoms = 1.2044 × 10^24 atoms

Step 3: Calculate the Mass of Oxygen Atoms

Now that we have the number of oxygen atoms, we can calculate the mass of these atoms using the molar mass of a single oxygen atom.

Mass of Oxygen Atoms

Mass of oxygen atoms = number of oxygen atoms × molar mass of a single oxygen atom = 1.2044 × 10^24 atoms × 16.00 g/mol = 1.923 × 10^25 g

Step 4: Convert the Mass to a More Reasonable Unit

The mass of oxygen atoms is extremely large, so we need to convert it to a more reasonable unit, such as kilograms.

Conversion Factor

1 kilogram = 1000 grams

Mass of Oxygen Atoms in Kilograms

Mass of oxygen atoms = 1.923 × 10^25 g / 1000 g/kg = 1.923 × 10^22 kg

Conclusion

In this problem, we calculated the mass of 2.000 mol of oxygen atoms in grams and then converted it to a more reasonable unit, kilograms. We used the concept of molar mass and the given conversion factor between moles and atoms to solve this problem.

Key Takeaways

The molar mass of a single oxygen atom is 16.00 g/mol.
1 mole = 6.022 × 10^23 atoms.
The mass of oxygen atoms can be calculated using the molar mass of a single oxygen atom and the number of oxygen atoms.
The mass of oxygen atoms can be converted to a more reasonable unit, such as kilograms, using the conversion factor between grams and kilograms.
Frequently Asked Questions (FAQs) =====================================

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

A: A mole is a unit of measurement that represents 6.022 × 10^23 particles (atoms or molecules), while a gram is a unit of mass. In other words, a mole is a count of particles, while a gram is a measure of the mass of those particles.

Q: How do I convert moles to grams?

A: To convert moles to grams, you need to know the molar mass of the substance. The molar mass is the mass of one mole of the substance in grams. For example, the molar mass of oxygen (O2) is 32.00 g/mol, so one mole of oxygen weighs 32.00 grams.

Q: What is the molar mass of a single oxygen atom?

A: The molar mass of a single oxygen atom is 16.00 g/mol. This is because the molar mass of oxygen (O2) is 32.00 g/mol, and there are two oxygen atoms in one molecule of oxygen.

Q: How do I calculate the mass of a substance in grams?

A: To calculate the mass of a substance in grams, you need to know the number of moles of the substance and the molar mass of the substance. You can then multiply the number of moles by the molar mass to get the mass in grams.

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

A: A mole is a unit of measurement that represents 6.022 × 10^23 particles (atoms or molecules), while a kilogram is a unit of mass that is equal to 1000 grams. In other words, a mole is a count of particles, while a kilogram is a measure of the mass of those particles.

Q: How do I convert moles to kilograms?

A: To convert moles to kilograms, you need to know the molar mass of the substance. The molar mass is the mass of one mole of the substance in grams. You can then convert the mass in grams to kilograms by dividing by 1000.

Q: What is the mass of 1 mole of oxygen in kilograms?

A: The mass of 1 mole of oxygen is 32.00 grams, which is equal to 0.032 kilograms.

Q: How do I calculate the mass of a substance in kilograms?

A: To calculate the mass of a substance in kilograms, you need to know the number of moles of the substance and the molar mass of the substance. You can then multiply the number of moles by the molar mass to get the mass in grams, and then convert the mass in grams to kilograms by dividing by 1000.

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

A: A mole is a unit of measurement that represents 6.022 × 10^23 particles (atoms or molecules), while a milligram is a unit of mass that is equal to 0.001 grams. In other words, a mole is a count of particles, while a milligram is a measure of the mass of those particles.

Q: How do I convert moles to milligrams?

A: To convert moles to milligrams, you need to know the molar mass of the substance. The molar mass is the mass of one mole of the substance in grams. You can then convert the mass in grams to milligrams by multiplying by 1000.

Q: What is the mass of 1 mole of oxygen in milligrams?

A: The mass of 1 mole of oxygen is 32.00 grams, which is equal to 32,000 milligrams.

Conclusion

In this article, we have answered some of the most frequently asked questions about moles, grams, and other units of measurement. We have also provided examples and explanations to help you understand the concepts and calculations involved.