If the atom is assumed to be a sphere, what is the volume in cm3 of a single Au atom?

Question

If the atom is assumed to be a sphere, what is the volume in  of a single  atom?

Answer 1

You need to get the structure of Au crystal, which is a face-centered cubic and a lattice constant 4.0796A

or 4.0796E-8 cm

Radius would be 4.0796E-8 cm * sqrt(2) / 4 = 1.4424E-8 cm

V = 4/3 * pi * r^3 = 1.2570E-23 cm^3