One mole of `P_(4)` molecules contains -

Options

A. 1 molecule
B. 4 molecules
C. `1//4 times 6.022 times 10^(23)` atoms
D. `24.092 times 10^(23)` atoms

Answer

To solve the question, "One mole of P₄ molecules contains," we need to determine how many atoms are present in one mole of P₄.

### Step-by-Step Solution:

1. **Understanding the Mole Concept**:
- One mole of any substance contains Avogadro's number of entities (atoms, molecules, etc.), which is approximately \(6.022 \times 10^{23}\).

2. **Identifying the Composition of P₄**:
- The molecular formula P₄ indicates that each molecule of phosphorus (P₄) contains 4 phosphorus atoms.

3. **Calculating the Number of Atoms in One Mole of P₄**:
- Since one mole of P₄ contains \(6.022 \times 10^{23}\) molecules of P₄, and each molecule contains 4 phosphorus atoms, we can calculate the total number of phosphorus atoms in one mole of P₄.
- Total number of atoms = Number of molecules × Number of atoms per molecule
- Total number of atoms = \(6.022 \times 10^{23} \text{ molecules} \times 4 \text{ atoms/molecule}\)

4. **Performing the Calculation**:
- Total number of atoms = \(6.022 \times 10^{23} \times 4 = 2.4088 \times 10^{24}\) atoms.

5. **Final Answer**:
- Therefore, one mole of P₄ contains approximately \(2.4088 \times 10^{24}\) phosphorus atoms.

### Summary:
One mole of P₄ molecules contains \(2.4088 \times 10^{24}\) phosphorus atoms.

---