Molecular Weight of Carbonic Acid

Oct 13, 2025 by wbrum.org 112 views

Understanding the Problem

Converting the mass of a substance to the number of atoms can be a complex process, but it's essential in chemistry. In this article, we will focus on converting the mass of carbonic acid (H2CO3) to the number of atoms. We will use the given mass of 8.045 g of H2CO3 and calculate the number of atoms.

Molecular Weight of Carbonic Acid

To convert the mass of carbonic acid to the number of atoms, we need to know its molecular weight. The molecular formula of carbonic acid is H2CO3, which means it consists of 2 hydrogen atoms, 1 carbon atom, and 3 oxygen atoms.

The atomic weights of the elements are:

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

The molecular weight of carbonic acid can be calculated by adding the atomic weights of its constituent atoms:

Molecular weight of H2CO3 = (2 x 1.008) + 12.01 + (3 x 16.00) Molecular weight of H2CO3 = 2.016 + 12.01 + 48.00 Molecular weight of H2CO3 = 62.026 g/mol

Converting Mass to Number of Molecules

Now that we know the molecular weight of carbonic acid, we can convert the given mass of 8.045 g to the number of molecules. We will use the formula:

Number of molecules = mass of substance / molecular weight

Plugging in the values, we get:

Number of molecules = 8.045 g / 62.026 g/mol Number of molecules = 0.1297 mol

Converting Number of Molecules to Number of Atoms

Since each molecule of carbonic acid consists of 7 atoms (2 hydrogen atoms, 1 carbon atom, and 4 oxygen atoms), we can convert the number of molecules to the number of atoms by multiplying the number of molecules by 7:

Number of atoms = number of molecules x 7 Number of atoms = 0.1297 mol x 7 Number of atoms = 0.9109 mol

Calculating the Number of Atoms

To calculate the number of atoms, we need to convert the number of moles to the number of atoms. We will use the Avogadro's number, which is 6.022 x 10^23 atoms/mol.

Number of atoms = number of moles x Avogadro's number Number of atoms = 0.9109 mol x 6.022 x 10^23 atoms/mol Number of atoms = 5.498 x 10^22 atoms

Conclusion

In this article, we converted the mass of 8.045 g of carbonic acid to the number of atoms. We used the molecular weight of carbonic acid to convert the mass to the number of molecules, and then converted the number of molecules to the number of atoms. The final answer is 5.498 x 10^22 atoms.

Calculating the Number of Atoms of Each Element

To calculate the number of atoms of each element, we need to multiply the number of atoms by the number of atoms of each element in the molecule.

Number of hydrogen atoms = number of atoms x 2 Number of hydrogen atoms = 5.498 x 10^22 x 2 Number of hydrogen atoms = 1.0996 x 10^23 atoms

Number of carbon atoms = number of atoms x 1 Number of carbon atoms = 5.498 x 10^22 x 1 Number of carbon atoms = 5.498 x 10^22 atoms

Number of oxygen atoms = number of atoms x 4 Number of oxygen atoms = 5.498 x 10^22 x 4 Number of oxygen atoms = 2.1992 x 10^23 atoms

Conclusion

In this article, we calculated the number of atoms of each element in 8.045 g of carbonic acid. We used the molecular weight of carbonic acid to convert the mass to the number of molecules, and then converted the number of molecules to the number of atoms. The final answer is:

Hydrogen atoms: 1.0996 x 10^23 atoms
Carbon atoms: 5.498 x 10^22 atoms
Oxygen atoms: 2.1992 x 10^23 atoms
Frequently Asked Questions (FAQs) about Converting Mass of Carbonic Acid to Atoms =====================================================================================

Q: What is the molecular weight of carbonic acid?

A: The molecular weight of carbonic acid (H2CO3) is 62.026 g/mol.

Q: How do I convert the mass of carbonic acid to the number of molecules?

A: To convert the mass of carbonic acid to the number of molecules, you need to divide the mass by the molecular weight of carbonic acid. The formula is:

Number of molecules = mass of substance / molecular weight

Q: How do I convert the number of molecules to the number of atoms?

A: To convert the number of molecules to the number of atoms, you need to multiply the number of molecules by 7, since each molecule of carbonic acid consists of 7 atoms.

Q: What is Avogadro's number?

A: Avogadro's number is 6.022 x 10^23 atoms/mol, which is the number of atoms in one mole of a substance.

Q: How do I calculate the number of atoms of each element in carbonic acid?

A: To calculate the number of atoms of each element in carbonic acid, you need to multiply the number of atoms by the number of atoms of each element in the molecule. For example, to calculate the number of hydrogen atoms, you need to multiply the number of atoms by 2, since each molecule of carbonic acid has 2 hydrogen atoms.

Q: What is the number of hydrogen atoms in 8.045 g of carbonic acid?

A: The number of hydrogen atoms in 8.045 g of carbonic acid is 1.0996 x 10^23 atoms.

Q: What is the number of carbon atoms in 8.045 g of carbonic acid?

A: The number of carbon atoms in 8.045 g of carbonic acid is 5.498 x 10^22 atoms.

Q: What is the number of oxygen atoms in 8.045 g of carbonic acid?

A: The number of oxygen atoms in 8.045 g of carbonic acid is 2.1992 x 10^23 atoms.

Q: Can I use this method to convert the mass of any substance to the number of atoms?

A: Yes, you can use this method to convert the mass of any substance to the number of atoms, as long as you know the molecular weight of the substance.

Q: What are some common mistakes to avoid when converting mass to number of atoms?

A: Some common mistakes to avoid when converting mass to number of atoms include:

Not knowing the molecular weight of the substance
Not converting the mass to the number of molecules
Not converting the number of molecules to the number of atoms
Not using Avogadro's number to convert the number of moles to the number of atoms

Q: How can I practice converting mass to number of atoms?

A: You can practice converting mass to number of atoms by using online calculators or by working through problems in a chemistry textbook. You can also try converting the mass of different substances to the number of atoms to get a feel for the process.