The density of chromium metal is `7.2 g cm^(-3)`. If the unit cell is cubic with edge length of 289 pm, determine the type of unit cell (simple , body centred or face centred)
[Atomic mass of `Cr = 52 a.m.u., N_A = 6.02 xx 10^(23) mol^(-1)]`.

Explanation

To determine the type of unit cell for chromium metal given its density and edge length, we can follow these steps:

### Step 1: Convert the edge length from picometers to centimeters
The edge length of the unit cell is given as 289 pm (picometers). We need to convert this to centimeters for consistency with the density units.

\[ \text{Edge length (a)} = 289 \, \text{pm} = 289 \times 10^{-12} \, \text{m} = 289 \times 10^{-10} \, \text{cm} \]
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