Titanium (II) oxide has a rock salt structures. X-ray diffraction data shows that the length of one edge of the cubic unit cell for TiO with 1 : 1 ratio of Ti to O is 418 pm and the density is 4.92 g `cm^(-3)` . (Atomic mass of Ti = 48)
% of vacancies (defects) in the structure is:

Options

A. `15.5%`
B. `84.5%`
C. `62.0%`
D. `38.0%`

Explanation

To find the percentage of vacancies (defects) in the structure of Titanium (II) oxide (TiO) with a rock salt structure, we can follow these steps:

### Step 1: Calculate the theoretical density of TiO
The formula for theoretical density (D) is given by:
\[ D = \frac{m \cdot z}{N_A \cdot a^3} \]
Where:
- \( m \) = molar mass of the compound (TiO)
- \( z \) = number of formula units per unit cell
...