Calculating the Number of Sulphur Molecules in a 300g Sample of Sulphur (S8)

To calculate the number of Sulphur molecules in a 300g sample of Sulphur (S8), we need to follow a series of steps. Let's break down the process into several sections:

1. Determining the Molar Mass of Sulphur (S8)
The molar mass of an element is the mass of one mole of that element. In the case of Sulphur, it exists as S8, meaning it forms a molecule consisting of eight sulfur atoms. The atomic mass of sulfur (S) is approximately 32.06 g/mol. Thus, the molar mass of S8 can be calculated as follows:
Molar mass of S8 = 8(Sulfur atomic mass) = 8(32.06 g/mol) = 256.48 g/mol

2. Calculating the Number of Moles
To determine the number of moles in the 300g sample of Sulphur (S8), we can use the following formula:
Number of moles = Mass of the sample / Molar mass
Number of moles = 300g / 256.48 g/mol ≈ 1.17 mol

3. Applying Avogadro's Number
Avogadro's number (6.022 x 10^23) represents the number of particles (atoms, molecules, etc.) in one mole of a substance. Since one mole of any substance contains Avogadro's number of particles, we can calculate the number of Sulphur molecules using the following formula:
Number of molecules = Number of moles x Avogadro's number
Number of molecules = 1.17 mol x 6.022 x 10^23 molecules/mol ≈ 7.04 x 10^23 molecules

4. Final Answer
Therefore, the number of Sulphur molecules in a 300g sample of Sulphur (S8) is approximately 7.04 x 10^23 molecules.

Summary:
By following the steps outlined above, we determined that there are approximately 7.04 x 10^23 Sulphur molecules in a 300g sample of Sulphur (S8). It is crucial to understand the molar mass concept, which helps convert the mass of a substance to the number of molecules using Avogadro's number.