Metallic magnesium has a hexagonal close packed structure and a density of `1.74 g//cm^3`. Assuming magnesium atoms to be spherical, calculate the volume of each atom and atomic radius of Mg atom (Atomic mass of Mg =24)

Explanation

To solve the problem, we will follow these steps:

### Step 1: Calculate the molar volume of magnesium
Given the density of magnesium (ρ) is \(1.74 \, g/cm^3\) and the atomic mass of magnesium (M) is \(24 \, g/mol\), we can calculate the molar volume (V_m) using the formula:

\[ V_m = \frac{M}{\rho} \]
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