Diamond crystallizes in a cubic lattice with an edge length of 357 pm.If there are a total of 8 carbon atoms in the unit cell,what is the density of diamond?

Question

Quizplus · Accepted Answer

To find the density, we need to know the mass and volume of the unit cell. 
Mass of the unit cell = 8 atoms x (atomic mass of carbon) = 8 x 12.01 g/mol = 96.08 g/mol
Volume of the unit cell = (edge length)^3 = (357 pm)^3 = 4.78 x 10^-23 cm^3
Now, we can calculate the density:
Density = mass/volume = 96.08 g/mol / 4.78 x 10^-23 cm^3 = 3.54 g/cm^3. Therefore, the answer is B.

Diamond Crystallizes in a Cubic Lattice with an Edge Length