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COMEDK · Chemistry · 16. Solid State

The vacant space in bec lattice cell is

  1. A \(26 \%\)
  2. B \(48 \%\)
  3. C \(23 \%\)
  4. D \(32 \%\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(32 \%\)

Step-by-step Solution

Detailed explanation

In a body-centered cubic (BCC) unit cell, the number of atoms per unit cell is \(Z = 2\). The relation between the edge length \(a\) and the atomic radius \(r\) is given by \(4r = \sqrt{3}a\), which implies \(r = \dfrac{\sqrt{3}a}{4}\). The volume occupied by the atoms is…