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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^3I 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»

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.



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