Answer to Question #151291 in General Chemistry for Joshua

Question

An element crystallizes in a body centered cubic ubit cell. The raduis of this element is 2.2x10^-10 m, and the density is 0.991 g/cm^3. How many moles of atoms are within one unit cell?

Answer 1

$6.02×10$ ²³$Units\equiv$ 1 mole

Body centered cubic has 2 units

$([\frac{1}{8}×8]+1)$

Using proportions,

2 units will be $\frac{2units×1mole}{\left(6.02×10^{\smash{23}}\right) units}=\left(3.22×10^{\smash{-24}}\right)moles$