Calculating Molar Mass of CO2

Oct 13, 2025 by miodeya.com 42 views

Understanding the Problem

To find the mass of oxygen that forms from $71.89 \, \text{g} \, \text{CO}_2$ , we need to understand the chemical composition of carbon dioxide and the molar masses of its constituent elements. Carbon dioxide is a compound made up of one carbon atom and two oxygen atoms, represented by the chemical formula $\text{CO}_2$ . The molar mass of a substance is the mass of one mole of that substance, expressed in grams per mole (g/mol).

Finding Molar Masses

To solve this problem, we need to find the molar masses of carbon and oxygen. We can use the periodic table to find these values. The periodic table is a tabular arrangement of the elements, organized by their atomic number (number of protons in the nucleus), electron configuration, and recurring chemical properties.

Molar Mass of Carbon

The atomic mass of carbon is $12.01 \, \text{g/mol}$ . This value is obtained from the periodic table and represents the mass of one carbon atom.

Molar Mass of Oxygen

The atomic mass of oxygen is $16.00 \, \text{g/mol}$ . This value is also obtained from the periodic table and represents the mass of one oxygen atom.

Calculating Molar Mass of CO2

To find the molar mass of carbon dioxide, we need to add the molar masses of carbon and two oxygen atoms. The molar mass of $\text{CO}_2$ is calculated as follows:

\text{Molar mass of CO}_2 = \text{Molar mass of C} + 2 \times \text{Molar mass of O}

\text{Molar mass of CO}_2 = 12.01 \, \text{g/mol} + 2 \times 16.00 \, \text{g/mol}

\text{Molar mass of CO}_2 = 12.01 \, \text{g/mol} + 32.00 \, \text{g/mol}

\text{Molar mass of CO}_2 = 44.01 \, \text{g/mol}

Calculating Mass of Oxygen in CO2

Now that we know the molar mass of $\text{CO}_2$ , we can calculate the mass of oxygen in $71.89 \, \text{g} \, \text{CO}_2$ . To do this, we need to find the mass of oxygen in one mole of $\text{CO}_2$ and then multiply it by the given mass of $\text{CO}_2$ .

The mass of oxygen in one mole of $\text{CO}_2$ is calculated as follows:

\text{Mass of O in one mole of CO}_2 = 2 \times \text{Molar mass of O}

\text{Mass of O in one mole of CO}_2 = 2 \times 16.00 \, \text{g/mol}

\text{Mass of O in one mole of CO}_2 = 32.00 \, \text{g/mol}

Now, we can calculate the mass of oxygen in $71.89 \, \text{g} \, \text{CO}_2$ :

\text{Mass of O in 71.89 g CO}_2 = \frac{\text{Mass of O in one mole of CO}_2}{\text{Molar mass of CO}_2} \times \text{Mass of CO}_2

\text{Mass of O in 71.89 g CO}_2 = \frac{32.00 \, \text{g/mol}}{44.01 \, \text{g/mol}} \times 71.89 \, \text{g}

\text{Mass of O in 71.89 g CO}_2 = 0.727 \times 71.89 \, \text{g}

\text{Mass of O in 71.89 g CO}_2 = 52.23 \, \text{g}

Conclusion

In conclusion, the mass of oxygen that forms from $71.89 \, \text{g} \, \text{CO}_2$ is $52.23 \, \text{g}$ . This value is obtained by calculating the mass of oxygen in one mole of $\text{CO}_2$ and then multiplying it by the given mass of $\text{CO}_2$ . The molar masses of carbon and oxygen are used to find the molar mass of $\text{CO}_2$ , which is then used to calculate the mass of oxygen in the given sample.

Frequently Asked Questions

Q: What is the chemical formula for carbon dioxide?

A: The chemical formula for carbon dioxide is $\text{CO}_2$ , which represents one carbon atom and two oxygen atoms.

Q: What is the molar mass of carbon dioxide?

A: The molar mass of carbon dioxide is $44.01 \, \text{g/mol}$ , which is calculated by adding the molar masses of carbon and two oxygen atoms.

Q: How do I calculate the mass of oxygen in one mole of carbon dioxide?

A: To calculate the mass of oxygen in one mole of carbon dioxide, you need to multiply the molar mass of oxygen by 2, since there are two oxygen atoms in one mole of carbon dioxide.

Q: What is the mass of oxygen in one mole of carbon dioxide?

A: The mass of oxygen in one mole of carbon dioxide is $32.00 \, \text{g/mol}$ , which is calculated by multiplying the molar mass of oxygen by 2.

Q: How do I calculate the mass of oxygen in a given sample of carbon dioxide?

A: To calculate the mass of oxygen in a given sample of carbon dioxide, you need to multiply the mass of oxygen in one mole of carbon dioxide by the number of moles of carbon dioxide in the sample, and then multiply the result by the given mass of carbon dioxide.

Q: What is the mass of oxygen in $71.89 \, \text{g} \, \text{CO}_2$ ?

A: The mass of oxygen in $71.89 \, \text{g} \, \text{CO}_2$ is $52.23 \, \text{g}$ , which is calculated by multiplying the mass of oxygen in one mole of carbon dioxide by the number of moles of carbon dioxide in the sample, and then multiplying the result by the given mass of carbon dioxide.

Q: What is the significance of the molar mass of carbon dioxide in this problem?

A: The molar mass of carbon dioxide is used to calculate the mass of oxygen in a given sample of carbon dioxide. It is a critical component in the calculation, as it allows us to determine the number of moles of carbon dioxide in the sample and then calculate the mass of oxygen.

Q: How do I apply the concept of molar mass to real-world problems?

A: The concept of molar mass can be applied to real-world problems in a variety of ways. For example, it can be used to calculate the mass of a substance in a given sample, or to determine the number of moles of a substance in a sample. It is a fundamental concept in chemistry and is used extensively in a wide range of applications.