Iron crystallizes in a body-centered cubic unit cell. the edge length of this cell is 287 pm. calculate the density of iron in g/ml.

Density = 7.87 grams per mL

Explanation:

Density is given by the formula:

where

Z = effective number of atoms in one unit cell.

M = Molecular mass of the substance

a = edge length of unit cell

Na = Avogadro number = 6.022×10²³

In this case:

Z=2 as it is body-centered type unit cell

M = 56 g per mole for iron

a =  287 pm =

Substituting the above values in the density formula we get:

Density of iron is 7.87 grams per mL.

∠gdh and ∠edh on edg.

answer is c