Solution: Barium metal crystallizes in a body-centered cubic

Chapter 11, Problem 11.4b

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Barium metal crystallizes in a body-centered cubic lattice (the Ba atoms are at the lattice points only). The unit cell edge length is 502 pm, and the density of the metal is 3.50 g/cm3 . Using this information, calculate Avogadros number. [Hint: First calculate the volume (in cm3 ) occupied by 1 mole of Ba atoms in the unit cells. Next calculate the volume (in cm3 ) occupied by one Ba atom in the unit cell. Assume that 68% of the unit cell is occupied by Ba atoms.]

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