Question

silver crystallizes in a cubic close packed structure. the radius of a silver atom is 1.44A Degree . calculate the density of Ag​

Answer 1

ANSWER:

Density of silver = 10.51g/cm³

Explanation:

Given:

The edge length of the unit cell, a = 408.7pm=

408.7 x 10-10 cm

Atomic mass of silver, M= 108 g mol-¹

NA 6.022 x 1023 mol-1

The number of atoms in the unit cell of a FCC

structure, n = 4

Density of silver,

n x M

N x a³

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4 x 108gmol-¹

6.022 x 1023, -1 mol x (408.7 x 10-10 cm)3

Density of silver = 10.51g/cm³