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Sodium crystallizes in the cubic lattice...

Sodium crystallizes in the cubic lattice and the edge of the unit cell is 430 pm. Calculate the number of atoms in a unit cell. (Atomic mass of Na = 23.0 density = 0.9623g `cm^(-3)`, `N_A = 6.023 xx 10^(23) mol^(-1)`).

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AI Generated Solution

To calculate the number of atoms in a unit cell of sodium, we will use the formula for density in relation to the unit cell parameters. Here’s a step-by-step solution: ### Step 1: Understand the formula for density The formula for density (\(d\)) in terms of the number of atoms in the unit cell (\(Z\)), molar mass (\(M\)), volume of the unit cell (\(a^3\)), and Avogadro's number (\(N_A\)) is given by: \[ d = \frac{Z \cdot M}{N_A \cdot a^3} \] ...
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