Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A cubic unit cell of a metal with molar mass of $63.55 \mathrm{~g} \mathrm{~mol}^{-1}$ has an edge length of 362 pm . Its density is $8.92 \mathrm{~g} \mathrm{~cm}^{-3}$. The type of unit cell is
ChemistrySolid StateJIPMERJIPMER 2017
Options:
  • A primitive
  • B face centred
  • C end centred
  • D body centred
Solution:
2552 Upvotes Verified Answer
The correct answer is: face centred
$\begin{aligned}& \text { Density }=\frac{Z \times M}{a^3 \times N_A} \\Z & =\frac{d \times N_A \times a^3}{M} \\
& =\frac{8.92 \times 6.023 \times 10^{23} \times\left(362 \times 10^{-10}\right)^3}{63.55}=4\end{aligned}$
$\therefore$ The metal crystallises in fcc.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.