Density of Sodium Crystal · CAP 2023 #21

Physics · modern-physics

Problem

Sodium has a crystal structure (right) which can be thought of as a repetition of a unit cell shown on the left. The different colors just represent different relative positions in the unit cell. [Figure: Shows crystal structure diagrams] Given that sodium's unit cell is a cube with edge a = 0.428 nm and its atomic weight is 23 g/mol, what is the density of sodium? a) 0.47 g/cm³ b) 0.94 g/cm³ c) 1.41 g/cm³ d) 4.23 g/cm³

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