1. The eleent gold, Au, has a face-centered cubic structure. (Density - 19.3 g/cm^3)

(a) What are the # of gold atoms in 1 unit cell?
(b) What are the # of unit cells in 1 mol?
(c) What is the volume of 1 mol gold unit cells?
(d) What is the volume of 1 unit cell?
(e) what is the length of 1 side of a unit cell?
(f) What is the metallic diameter of 1 atom?

2 answers

a. 4
b. There are 6.022E23 unit cells in 1 mol units cells.
c. volume = mass/density = 4*196.67/19.3 = ?
d. c/6.022E23 = ?
e. volume = a^3. Solve for a.
f. 4*radius = a*(2)^1/2. You want the diameter so that will be 2*r.
My answer is about 1.44E-8 cm for r or about 2.88E-8 cm for diameter but check my work.
So what would the units for (c) be?

And, what's the radius to work out (f)?