Platinum crystallizes in a face-centered cubic cell. the density of platinum is 21.4 g/cm3. calculate the radius of the platinum atom in pm

1 mole of platinum has a mass of 195 g therefore 1 atom will have a mass of 195 g / (6.02 * 10^23) = 3.239 * 10^-22 g

Density is given by dividing mass by volume, thus to get volume, mass is divided by density.

The volume = (3.239 * 10^-22) / 21.4

= 1.514 * 10^-23 cm³

But volume of a sphere is given by 4/3πr³

Therefore, r³ = 3.6129 * 10^-24

r = ∛ (3.6129 * 10^-24)

= 1.534 * 10^ - 8 cm

Therefore, the radius of the platinum atom is 1.534 * 10^-8 cm