A metal forms fcc structure . Calculate the volume of fcc unit cell in cm^3 if void volume is 1 66 10^ -23 cm^3 .

MHT CET 2026 Chemistry question

Not in JEE Main or NEET syllabus

A metal forms fcc structure . Calculate the volume of fcc unit cell in if void volume is .

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

For an fcc (ccp) lattice the packing efficiency is 74 %, so the void (empty) space is of the unit cell volume. Let the unit cell volume be . Then , so \dfrac{1.66 × 10^{-23}}{0.26}10^{-23}$\

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Question ID VK-100258