An element with molor mass `27 g mol^(-1)` forms a cubic unit cell with edge length `4.05 xx 10^(-8) cm`. If its density is `2.7 g cm^(-3)`, what is the nature of the unit cell?

Explanation

To determine the nature of the unit cell for the given element, we will follow these steps:

### Step 1: Understand the relationship between density, molar mass, and unit cell parameters.
The formula for density (D) in terms of the number of atoms per unit cell (Z), molar mass (M), edge length (A), and Avogadro's number (N_A) is given by:

\[ D = \frac{Z \times M}{A^3 \times N_A} \]
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