The crystal structure of an element has fcc lattice. If the edge length of the crystal is 4^ A , what is the atomic weight (in g mol ⁻¹ ) of the element, if the density of the crystal is .11.21 ~g ~cm ⁻³ ) ( N _ A =6.023 10²³ ~mol ⁻¹ )

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Quantrex Academy · Accepted Answer

Correct answer: C. 108.0

The effective no. of atoms in a fcc unit cell =4 d = MW 4 ~N _ A a ^3 ; a =4 Å=4 10⁻⁸ ~cm MW = dN _ A a ^3 4 aligned & = 11.21 6.023 10²³ (4 10⁻⁸ )^3 4 & =11.21 6.023 1.6=108 ~g / mol aligned

The crystal structure of an element has fcc lattice. If the edge length of the crystal is 4^ A , what is the atomic weight (in g mol ⁻¹ ) of the element, if the density of the crystal is .11.21 ~g ~cm ⁻³ ) ( N _ A =6.023 10²³ ~mol ⁻¹ )

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