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The density of lead is 11.35 g cm^(-3) a...

The density of lead is `11.35 g cm^(-3)` and the metal crystallizes with fee unit cell. Estimate the radius of lead atom. (At. Mass of lead `= 207 g mol^(-1) and NA = 6.02xx10^23 mol^(-1))`

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To estimate the radius of a lead atom given the density, molar mass, and the type of crystal structure, we can follow these steps: ### Step 1: Understand the FCC Structure In a face-centered cubic (FCC) structure, there are 4 atoms per unit cell (Z = 4). This is because there are atoms at each of the 8 corners (each contributing 1/8th of an atom) and at the centers of each of the 6 faces (each contributing 1/2 of an atom). ### Step 2: Use the Density Formula The formula relating density (d), molar mass (M), Avogadro's number (N_A), and the edge length (a) of the unit cell is given by: ...
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