A solid 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`

Answer

To solve the problem, we will break it down into steps:

### Step 1: Determine the number of moles of sulfur atoms.
Given that the sample contains 0.25 moles of sulfur molecules, we need to find out how many moles of sulfur atoms are present in these molecules.

Sulfur (S) is a diatomic molecule in its most common form (S8), meaning each molecule contains 8 sulfur atoms. Therefore, the number of moles of sulfur atoms can be calculated as follows:

\[ \text{Number of moles of sulfur atoms} = \text{Number of moles of sulfur molecules} \times \text{Number of atoms per molecule} \]

\[ \text{Number of moles of sulfur atoms} = 0.25 \, \text{mol} \times 8 = 2 \, \text{mol} \]

### Step 2: Determine the number of sulfur molecules.
From the problem, we know that the number of sulfur molecules is given directly. Therefore, the number of sulfur molecules is:

\[ \text{Number of sulfur molecules} = 0.25 \, \text{mol} \]

### Step 3: Calculate the number of sulfur atoms.
To find the total number of sulfur atoms in the sample, we can use Avogadro's number, which is \(6.022 \times 10^{23}\) atoms/mol. The total number of sulfur atoms can be calculated as follows:

\[ \text{Number of sulfur atoms} = \text{Number of moles of sulfur atoms} \times \text{Avogadro's number} \]

\[ \text{Number of sulfur atoms} = 2 \, \text{mol} \times 6.022 \times 10^{23} \, \text{atoms/mol} \]

\[ \text{Number of sulfur atoms} = 1.2044 \times 10^{24} \, \text{atoms} \]

### Final Answer:
The number of moles of sulfur atoms is 2 mol, the number of sulfur molecules is 0.25 mol, and the number of sulfur atoms is approximately \(1.2044 \times 10^{24}\) atoms.

### Summary:
- Number of moles of sulfur atoms: **2 mol**
- Number of sulfur molecules: **0.25 mol**
- Number of sulfur atoms: **\(1.2044 \times 10^{24}\) atoms**

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