A given sample of sulphur contains 0.25 mol of sulphur molecules. The number of moles of sulphur atoms, number of sulphur molecules and number of sulphur atoms present in the given sample are respectively

Options

A. `6.023 xx 10^(23) , 3 and 3.2 xx 10^(23)`
B. `2,3.2 xx 10^(23) and 6.02 xx 10^(23)`
C. `2, 1.5 xx 10^(23) and 1.2 xx 10^(24)`
D. `1.2 xx 10^(24), 3.2 xx 10^(23) and 2 `

Explanation

To solve the problem, we need to determine the number of moles of sulfur atoms, the number of sulfur molecules, and the total number of sulfur atoms present in the given sample of sulfur that contains 0.25 moles of sulfur molecules.

### Step 1: Identify the number of moles of sulfur molecules
The problem states that we have 0.25 moles of sulfur molecules.

**Solution:**
- Number of moles of sulfur molecules = 0.25 mol

### Step 2: Determine the number of moles of sulfur atoms
Sulfur (S) exists as diatomic molecules (S8), meaning each molecule of sulfur contains 8 sulfur atoms. Therefore, to find the number of moles of sulfur atoms, we multiply the number of moles of sulfur molecules by the number of atoms per molecule.

**Solution:**
- Number of moles of sulfur atoms = Number of moles of sulfur molecules × 8
- Number of moles of sulfur atoms = 0.25 mol × 8 = 2.0 mol

### Step 3: Calculate the number of sulfur molecules
We already know that the number of moles of sulfur molecules is 0.25. To find the actual number of sulfur molecules, we use Avogadro's number, which is approximately \(6.022 \times 10^{23}\) molecules/mol.

**Solution:**
- Number of sulfur molecules = Number of moles of sulfur molecules × Avogadro's number
- Number of sulfur molecules = 0.25 mol × \(6.022 \times 10^{23}\) molecules/mol
- Number of sulfur molecules = \(1.5055 \times 10^{23}\) molecules (approximately \(1.51 \times 10^{23}\) molecules)

### Step 4: Calculate the total number of sulfur atoms
To find the total number of sulfur atoms, we multiply the number of moles of sulfur atoms by Avogadro's number.

**Solution:**
- Number of sulfur atoms = Number of moles of sulfur atoms × Avogadro's number
- Number of sulfur atoms = 2.0 mol × \(6.022 \times 10^{23}\) atoms/mol
- Number of sulfur atoms = \(1.2044 \times 10^{24}\) atoms (approximately \(1.20 \times 10^{24}\) atoms)

### Final Answer
- Number of moles of sulfur atoms: 2.0 mol
- Number of sulfur molecules: \(1.51 \times 10^{23}\) molecules
- Number of sulfur atoms: \(1.20 \times 10^{24}\) atoms