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An element crystallizes in a structure h...

An element crystallizes in a structure having fcc unit cell of an edge 300 pm. Calculate its density if 180 g of this element contains `3.708 xx 10^(24)` atoms.

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To solve the problem, we need to calculate the density of an element that crystallizes in a face-centered cubic (FCC) structure with a given edge length and number of atoms. Here’s a step-by-step solution: ### Step 1: Determine the number of atoms in the FCC unit cell In an FCC unit cell: - There are 8 corner atoms, each contributing \( \frac{1}{8} \) of an atom to the unit cell. - There are 6 face-centered atoms, each contributing \( \frac{1}{2} \) of an atom to the unit cell. Calculating the total number of atoms: ...
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