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AP EAMCET · Chemistry · Solid State

The density of \(\mathrm{Na}\) is \(0.613 \mathrm{~g} \mathrm{~cm}^{-3}\). If the edge length of unit cell of \(\mathrm{Na}\) is \(5 Å\), the effective number of atoms of Na per unit cell is (Atomic weight of \(\mathrm{Na}=23 \mathrm{u}\) )

  1. A \(8\)
  2. B \(1\)
  3. C \(2\)
  4. D \(4\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(8\)

Step-by-step Solution

Detailed explanation

We know that, \(d=\frac{Z \times m}{a^3 \times N_A}\) where, \(d\) is density, \(Z\) is the number of atoms, \(m\) is the atomic mass, \(a\) is edge length and \(N_A\) is Avagadro's number.…