An element with molar mass `2.7 xx 10^-2 kg mol^(-1)` forms a cubic unit cell with edge length 405pm.If its density is `2.7 xx 10^(3) kg^(-3)`, what is the nature of the cubic unit cell?

Explanation

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

### Step 1: Write down the given data
- Molar mass (M) = \(2.7 \times 10^{-2} \, \text{kg mol}^{-1}\)
- Edge length (a) = \(405 \, \text{pm} = 405 \times 10^{-12} \, \text{m}\)
- Density (\(\rho\)) = \(2.7 \times 10^{3} \, \text{kg m}^{-3}\)

### Step 2: Use the formula for density
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