How Many O Atoms Are In 1.0 G Of $H_2CO_3$?

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Introduction

In this article, we will explore the concept of calculating the number of oxygen atoms in a given mass of a compound, specifically $H_2CO_3$. This calculation involves understanding the molecular structure of the compound, its molar mass, and the atomic masses of its constituent elements.

Understanding the Molecular Structure of $H_2CO_3$

$H_2CO_3$ is the chemical formula for carbonic acid, which is composed of one carbon atom, two hydrogen atoms, and three oxygen atoms. The molecular structure of $H_2CO_3$ can be represented as follows:

$$\underset{\text{Carbon}}{C} \underset{\text{Hydrogen}}{H} \underset{\text{Hydrogen}}{H} \underset{\text{Oxygen}}{O} \underset{\text{Oxygen}}{O} \underset{\text{Oxygen}}{O}$$

Calculating the Molar Mass of $H_2CO_3$

To calculate the number of oxygen atoms in a given mass of $H_2CO_3$, we first need to determine the molar mass of the compound. The atomic masses of the constituent elements are:

• Carbon (C): 12.01 g/mol
• Hydrogen (H): 1.008 g/mol
• Oxygen (O): 16.00 g/mol

The molar mass of $H_2CO_3$ can be calculated as follows:

$$\text{Molar mass of } H_2CO_3 = 12.01 \text{ g/mol} + 2(1.008 \text{ g/mol}) + 3(16.00 \text{ g/mol})$$

$$\text{Molar mass of } H_2CO_3 = 12.01 \text{ g/mol} + 2.016 \text{ g/mol} + 48.00 \text{ g/mol}$$

$$\text{Molar mass of } H_2CO_3 = 62.036 \text{ g/mol}$$

Calculating the Number of Moles of $H_2CO_3$

To calculate the number of oxygen atoms in a given mass of $H_2CO_3$, we need to determine the number of moles of the compound present in that mass. We can use the following formula:

$$\text{Number of moles} = \frac{\text{Mass of compound}}{\text{Molar mass of compound}}$$

Given a mass of 1.0 g of $H_2CO_3$, we can calculate the number of moles as follows:

$$\text{Number of moles} = \frac{1.0 \text{ g}}{62.036 \text{ g/mol}}$$

$$\text{Number of moles} = 0.0161 \text{ mol}$$

Calculating the Number of Oxygen Atoms

Now that we have determined the number of moles of $H_2CO_3$, we can calculate the number of oxygen atoms present in that mass. We know that each molecule of $H_2CO_3$ contains three oxygen atoms, so we can multiply the number of moles by the number of oxygen atoms per molecule:

$$\text{Number of oxygen atoms} = \text{Number of moles} \times \text{Number of oxygen atoms per molecule}$$

$$\text{Number of oxygen atoms} = 0.0161 \text{ mol} \times 3$$

$$\text{Number of oxygen atoms} = 0.0483 \text{ mol}$$

However, since we are dealing with atoms, not moles, we need to convert the number of moles to the number of atoms. We can use Avogadro's number (6.022 x 10^23 atoms/mol) to make this conversion:

$$\text{Number of oxygen atoms} = 0.0483 \text{ mol} \times 6.022 \times 10^{23} \text{ atoms/mol}$$

$$\text{Number of oxygen atoms} = 2.89 \times 10^{22} \text{ atoms}$$

Conclusion

In this article, we have calculated the number of oxygen atoms in 1.0 g of $H_2CO_3$. We first determined the molar mass of the compound, then calculated the number of moles present in the given mass, and finally converted the number of moles to the number of oxygen atoms. The result is approximately 2.89 x 10^22 oxygen atoms.

References

• CRC Handbook of Chemistry and Physics, 97th Edition
• IUPAC Compendium of Chemical Terminology, 2nd Edition

Frequently Asked Questions

• Q: What is the molecular structure of $H_2CO_3$? A: The molecular structure of $H_2CO_3$ is composed of one carbon atom, two hydrogen atoms, and three oxygen atoms.
• Q: What is the molar mass of $H_2CO_3$? A: The molar mass of $H_2CO_3$ is 62.036 g/mol.
• Q: How many oxygen atoms are in 1.0 g of $H_2CO_3$? A: There are approximately 2.89 x 10^22 oxygen atoms in 1.0 g of $H_2CO_3$.
  Q&A: Calculating the Number of Oxygen Atoms in $H_2CO_3$ ===========================================================

Frequently Asked Questions

Q: What is the molecular structure of $H_2CO_3$?

A: The molecular structure of $H_2CO_3$ is composed of one carbon atom, two hydrogen atoms, and three oxygen atoms.

Q: What is the molar mass of $H_2CO_3$?

A: The molar mass of $H_2CO_3$ is 62.036 g/mol.

Q: How many oxygen atoms are in 1.0 g of $H_2CO_3$?

A: There are approximately 2.89 x 10^22 oxygen atoms in 1.0 g of $H_2CO_3$.

Q: What is the atomic mass of oxygen in $H_2CO_3$?

A: The atomic mass of oxygen in $H_2CO_3$ is 16.00 g/mol.

Q: How many moles of $H_2CO_3$ are in 1.0 g of the compound?

A: There are approximately 0.0161 moles of $H_2CO_3$ in 1.0 g of the compound.

Q: How many oxygen atoms are in one molecule of $H_2CO_3$?

A: There are three oxygen atoms in one molecule of $H_2CO_3$.

Q: What is the relationship between the number of moles and the number of atoms in a substance?

A: The number of moles is related to the number of atoms by Avogadro's number (6.022 x 10^23 atoms/mol).

Q: How can I calculate the number of oxygen atoms in a given mass of $H_2CO_3$?

A: To calculate the number of oxygen atoms in a given mass of $H_2CO_3$, you need to determine the number of moles of the compound present in that mass, and then multiply that number by the number of oxygen atoms per molecule.

Q: What is the significance of calculating the number of oxygen atoms in a substance?

A: Calculating the number of oxygen atoms in a substance can be important in various fields such as chemistry, biology, and materials science, as it can provide information about the composition and properties of the substance.

Q: Can I use this method to calculate the number of oxygen atoms in other compounds?

A: Yes, you can use this method to calculate the number of oxygen atoms in other compounds by following the same steps and using the correct atomic masses and molecular structures.

Additional Resources

• CRC Handbook of Chemistry and Physics, 97th Edition
• IUPAC Compendium of Chemical Terminology, 2nd Edition
• Avogadro's Number: A Fundamental Constant in Chemistry
• Atomic Masses: A Guide to Understanding the Composition of Elements

Related Articles

• Calculating the Number of Atoms in a Substance
• Understanding the Molecular Structure of Compounds
• The Importance of Atomic Masses in Chemistry
• Avogadro's Number: A Key Concept in Chemistry