Question

What is the total volume of the particles present in a body centered unit cell?

(a) 8πr^3

(b) \(\frac{8}{3}\)πr^3

(c) \(\frac{16}{3}\)πr^3

(d) \(\frac{32}{3}\)πr^3

I have been asked this question in an online quiz.

This interesting question is from Solid State topic in division Solid State of Chemistry – Class 12

Answer 1

Correct option is (b) \(\frac{8}{3}\)πr^3

To explain I would say: Since particles are assumed to be spheres and volume of one sphere is \(\frac{4}{3}\)πr^3, total volume of all particles in BCC = 2 x \(\frac{4}{3}\)πr^3=\(\frac{8}{3}\)πr^3 since a BCC has 2 particles per cell.