1. Tardigrade
  2. Question
  3. Chemistry
  4. The cubic unit cell of a metal (molar mass =63 ⋅ 55 g mol -1 ) has an edge length of 362 pm. Its density is 8.92 g cm -3 the type of unit cell is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The cubic unit cell of a metal (molar mass $=63 \cdot 55\, g\, mol ^{-1}$ ) has an edge length of $362\, pm$. Its density is $8.92\, g\,cm ^{-3}$ the type of unit cell is

BITSATBITSAT 2009

Solution:

Density $=\frac{Z \times M}{a^{3} \times N_{A}} $
$Z=\frac{d \times N_{A} \times a^{3}}{M} $
$=\frac{8.92 \times 6.023 \times 10^{23} \times\left(362 \times 10^{-10}\right)^{3}}{63.55}=4$
Now, the face-centered cubic (fcc) contains $4$ atoms per unit cell.
$\therefore $ The metal crystallises in fcc.