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TS EAMCET · Chemistry · Solid State

The number of unit cells present in \(39 \mathrm{~g}\) of potassium if it crystallizes as body centred cube is ( \(N=\) Avogadro number, At. wt. of potassium \(=39\) )

  1. A \(\frac{N}{4}\)
  2. B \(\frac{N}{2}\)
  3. C \(\frac{N}{3}\)
  4. D \(N\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{N}{2}\)

Step-by-step Solution

Detailed explanation

Potassium has bcc system Number of mole \(=39 / 39=1\) mole 1 mole of atoms \(=6.022 \times 10^{23}\) atoms \(=N\) \(\because\) In bcc system 2 atoms are present in 1 unit cell. \(\therefore N\) number of atoms are present in \(\frac{N}{2}\) unit cells.