Determining the Number of Atoms in 1.5 Moles of H2SO4

Sulfuric acid (H2SO4) is a common substance used in a wide range of industries, from manufacturing to chemical applications. Understanding the molecular composition of H2SO4 is crucial for various calculations in chemistry and related fields. In this article, we will explore how to determine the number of atoms in 1.5 moles of H2SO4 and highlight the underlying concepts.

Molecular Composition of H2SO4

H2SO4 consists of the following:

2 Hydrogen (H) atoms 1 Sulfur (S) atom 4 Oxygen (O) atoms

This combination results in a total of 7 atoms per molecule of H2SO4.

Calculating the Total Number of Atoms in 1.5 Moles of H2SO4

Step 1: Convert Moles to Molecules

Using Avogadro's number, which is the number of particles in one mole of a substance (6.022 x 1023 molecules/mole), we can calculate the total number of molecules in 1.5 moles of H2SO4.

Molecular number 1.5 moles x 6.022 x 1023 molecules/mole 9.033 x 1023 molecules

Step 2: Calculate Total Atoms in Molecules

Each molecule of H2SO4 contains 7 atoms. Thus, we multiply the number of molecules by 7 to find the total number of atoms.

Total atoms 9.033 x 1023 molecules x 7 atoms/molecule 6.323 x 1024 atoms

Therefore, in 1.5 moles of H2SO4, there are approximately 6.32 x 1024 atoms.

Molecular Mass and Atom Calculation

To further understand the relationship between moles, molecules, and atoms, we can break down the calculation step by step:

Step 1: Calculate Atoms of Each Element

Hydrogen (H): 2 atoms per molecule, so 1.5 moles x 2 3 moles of H atoms.
3 moles of H atoms x 6.02 x 1023 atoms/mole 1.806 x 1024 H atoms. Sulfur (S): 1 atom per molecule, so 1.5 moles x 1 1.5 moles of S atoms.
1.5 moles of S atoms x 6.02 x 1023 atoms/mole 9.03 x 1023 S atoms. Oxygen (O): 4 atoms per molecule, so 1.5 moles x 4 6 moles of O atoms.
6 moles of O atoms x 6.02 x 1023 atoms/mole 3.61 x 1024 O atoms.

Step 2: Summing Up the Total Number of Atoms

Total atoms 1.806 x 1024 H atoms 9.03 x 1023 S atoms 3.61 x 1024 O atoms

Total atoms 6.32 x 1024 atoms

Conclusion

Determining the number of atoms in 1.5 moles of H2SO4 is a fundamental calculation in chemistry. By understanding the molecular composition, using Avogadro's number, and breaking down the problem, we can accurately calculate the total number of atoms. This knowledge is essential for various applications, from academic research to industrial processes.

Related Keywords

H2SO4 moles of atoms sulfuric acid