There is a collection of crystalline substances in a hexagonal closed packing. If the density of matter is `2.6 g//cm^(3)`, what would be the average density of matter in collection? What fraction of space is actually unoccupied ?

Options

A. `1.93 g//cm^3`, 26%
B. `2.6 g//cm^3 , 35%`
C. `19.37 g//cm^3, 26%`
D. `19.3 g//cm^3 , 19.3%`

Answer

A

Explanation

Density of matter = packing fraction x total density
` = 74/100 xx 2.6 = 1.93 g//cm^3`
% empty space = 100 - 74 = 26