Answer to Question #256316 in General Chemistry for Kimmay17

Question

Metallic barium crystallizes in a body-centered cubic lattice, with one Ba atom per lattice point. If the metallic radius of Ba is 217 pm, what is the volume of the unit cell in pm3 and in cm3?

 pm3

 cm3

Answer 1

$V = (\frac{4 r}{3^{1/3}})^3$

V = 125856976.239 pm³ or $1.26\times 10^8$ pm³

V = 0.0125857 cm³ or $1.26 \times 10^{-2}$ cm³