Lead β is a solid phase of lead still unknown to science. The only difference between it and ordinary lead is that Lead β forms a crystal with a bcc unit cell and a lattice constant (7-404. pm). Calculate the density of Lead β Round your answer to 3 significant digits cm

Question

Chemistry

Humphrey

10 April, 00:35

Lead β is a solid phase of lead still unknown to science. The only difference between it and ordinary lead is that Lead β forms a crystal with a bcc unit cell and a lattice constant (7-404. pm). Calculate the density of Lead β Round your answer to 3 significant digits cm

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Answers (1)

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Cindy Pacheco · Answer 1

Density is : 10.4 g/cm³

Explanation:

Here a = 404.0 pm

a = 4.04*10^-8 cm

Molar mass = 207.2 g/mol

since the cubic cell is Body Centered Cubic, the value of Z=2

d = (Z*M) / (a^3*NA)

d = (2*207.2) / ((4.04*10^-8) ^3 * (6.022*10^23))

d = 10.436 g/cm^3

Answer: 10.4 g/cm^3