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