The number of octahedral voids are formed in 0.5 mol of a compound forming hcp structure

Answer

To determine the number of octahedral voids in 0.5 moles of a compound forming a hexagonal close-packed (hcp) structure, we can follow these steps:

### Step 1: Understand the relationship between moles and atoms
1 mole of any substance contains Avogadro's number of particles, which is approximately \(6.022 \times 10^{23}\) atoms.

### Step 2: Calculate the number of atoms in 0.5 moles
To find the number of atoms in 0.5 moles, we can use the formula:
\[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \]
Substituting the values:
\[ \text{Number of atoms} = 0.5 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole} = 3.011 \times 10^{23} \, \text{atoms} \]

### Step 3: Determine the number of octahedral voids
In a close-packed structure, each atom contributes one octahedral void. Therefore, the number of octahedral voids is equal to the number of atoms.

### Step 4: Conclusion
Thus, the number of octahedral voids in 0.5 moles of the compound is:
\[ \text{Number of octahedral voids} = 3.011 \times 10^{23} \, \text{octahedral voids} \]

### Final Answer
The number of octahedral voids formed in 0.5 moles of a compound forming hcp structure is \(3.011 \times 10^{23}\).

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