Sulphur exist in different allotropic forms like `S_(2),S_(6)` and `S_(8)` etc. If equal moles of these three forms are taken in separate containers, then the ratio of number of atoms present in them respectively is `:`

Options

A. `1:3:4`
B. `1:1:1`
C. `12:4:3`
D. `4:3:1`

Explanation

To solve the problem of finding the ratio of the number of atoms present in equal moles of the allotropic forms of sulfur (S₂, S₆, and S₈), we can follow these steps:

### Step 1: Understand the allotropic forms of sulfur
Sulfur exists in different molecular forms, specifically S₂, S₆, and S₈. Each of these forms contains a different number of sulfur atoms per molecule.

### Step 2: Determine the number of atoms in each form
1. **For S₂**:
- Each molecule contains 2 sulfur atoms.
- Therefore, 1 mole of S₂ contains \( 2 \text{ atoms} \times 1 \text{ mole} = 2 \text{ atoms} \).

2. **For S₆**:
- Each molecule contains 6 sulfur atoms.
- Therefore, 1 mole of S₆ contains \( 6 \text{ atoms} \times 1 \text{ mole} = 6 \text{ atoms} \).

3. **For S₈**:
- Each molecule contains 8 sulfur atoms.
- Therefore, 1 mole of S₈ contains \( 8 \text{ atoms} \times 1 \text{ mole} = 8 \text{ atoms} \).

### Step 3: Calculate the ratio of the number of atoms
Now we can express the number of atoms in each form as follows:
- S₂: 2 atoms
- S₆: 6 atoms
- S₈: 8 atoms

The ratio of the number of atoms in S₂, S₆, and S₈ can be written as:
\[ \text{Ratio} = 2 : 6 : 8 \]

### Step 4: Simplify the ratio
To simplify the ratio, we can divide each term by the greatest common divisor (GCD), which is 2:
\[ \frac{2}{2} : \frac{6}{2} : \frac{8}{2} = 1 : 3 : 4 \]

### Final Answer
Thus, the ratio of the number of atoms present in the three containers is:
\[ \text{Ratio} = 1 : 3 : 4 \]