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AP EAMCET · Chemistry · Solid State

Ag crystallises in fcc lattice. What is the total number of tetrahedral voids present in \(540 \mathrm{~g}\) of Ag metal? \(\left(N_A=\right.\) Avagadro number; \(\mathrm{Ag}\) atomic weight \(=108 \mathrm{~g} \mathrm{~mol}^{-1}\) )

  1. A \(10 N_A\)
  2. B \(20 N_A\)
  3. C \(40 N_A\)
  4. D \(60 N_A\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(10 N_A\)

Step-by-step Solution

Detailed explanation

Ag crystallises in fcc lattice. Each unit cell contains 4 atoms and 8 tetrahedral voids. The mass of one \(\mathrm{Ag}\)-atom \[ =\frac{\text { Atomic mass }}{N_A}=\frac{108 \mathrm{~g} \mathrm{~mol}^{-1}}{N_A} \] The mass of one unit cell will be…