Solid State Question 5
Question: The cubic unit cell of a metal (molar mass = $ 63.55gmo{{l}^{-1}} $ ) has an edge length of 362 pm. Its density is $ 8.92gc{{m}^{-3}}. $ The type of unit cell is
Options:
A) primitive
B) face centered
C) body centered
D) end centered
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ \rho =\frac{ZM}{N _{A}V} $
$ Z=\frac{\rho N _{A}V}{M} $
$ =\frac{8.92\times 6.02\times 10^{23}\times {{( 362 )}^{3}}\times {{10}^{-30}}}{63.55}=4 $
$ \therefore $ It has $ f _{CC} $ unit cell