Question

Question 8 Lithium is a solid phase of lithium still unknown to science. The only difference between it and ordinary lithium is that Lithium forms a crystal with an fcc unit cell and a lattice constant . Calculate the density of Lithium . Round your answer to significant digit

Answer 1

Answer:

the density of lithium will be equal to: 0.582 g/cm^3

Explanation:

We have the following data:

a = 430 pm = 4.3x10^-8 cm

molar mass of lithium MM = 6.97 g/mol

Since the cubic cell of lithium is cubic centered in the face, its value of Z will be equal to 4

Avogadro´s number AN = 6.022x10^23 particles/mol

using the following formula we will calculate the density of lithium:

d = (Z*MM)/(a^3*AN) = (4*6.97)/((4.3x10^-8)^3*(6.022x10^23)) = 0.582 g/cm^3