Hypothetical metal M has a molecular weight 163 gmol and cry

Hypothetical metal M has a molecular weight 163 g/mol and crystallizes in a body-centered cubic array of atoms in which the length of the unit cell\'s edge is 668.2 pm (10-12 m). Calculate the density of the metal in g/cm3.

Hypothetical metal M has a molecular weight 163 g/mol and crystallizes in a body-centered cubic array of atoms in which the length of the unit cell\'s edge is 668.2 pm (10-12 m). Calculate the density of the metal in g/cm3.

Solution

for bcc z = no of atoms per unit cell = 2,

d = Z x M/(N x a^3)

a = 668.2 pm = 668.2 x10^ -10 cm = 6.682 x10^ -8 cm , M=163,

d = ( 2 x163)/(6.023x10^ 23 )x(6.682 x 10^ -8)^3 = 1.814 gm/cm3

 Hypothetical metal M has a molecular weight 163 g/mol and crystallizes in a body-centered cubic array of atoms in which the length of the unit cell\'s edge is

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