Solid State Question 188

Question: A solid has a structure in which $ ‘W’ $ atoms are located at the corners of a cubic lattice $ ‘O’ $ atoms at the centre of edges and $ ‘Na’ $ atoms at the centre of the cube. The formula for the compound is

[KCET 1996]

Options:

A) $ NaWO_2 $

B) $ NaWO_3 $

C) $ Na_2WO_3 $

D) $ NaWO_4 $

Show Answer

Answer:

Correct Answer: B

Solution:

In a unit cell, W atoms at the corner $ =\frac{1}{8}\times 8=1 $ O atoms at the centre of edges $ =\frac{1}{4}\times 12=3 $ Na atoms at the centre of the cube = 1 $ W:O:Na=1:3:1, $ hence formula $ =NaWO_3 $