A tungsten matrix with 20% porosity is infiltrated with silver. Assuming that the pores are interconnected, what is the density of the composite before and after infiltration with silver? The density of pure tungsten is 19.25 g/cm3and that of pure silveris 10

15.4 g/cm³, 17.4 g/cm³

Explanation:

The densities can be calculated using the formula below

ρ = (fraction of tungsten * ρt (density of tungsten)) + (fraction of pores * ρp (density of pore)

fraction of tungsten = (100 - 20) % = 80 / 100 = 0.8

a) density of the before infiltration = (0.8 * 19.25) + (0.2 * 0) = 15.4 g/cm³

b) density after infiltration with silver

fraction occupied by silver = 20 / 100 = 0.2

density after infiltration with silver = (0.8 * 19.25) + (0.2 * 10) = 17.4 g/cm³