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Q.

A solid has a structure in which W atoms are located at the corners of a cubic lattice, O atoms at the center of edges and Na atom at center of the cube. The formula for the compound is

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a

Na2WO3

b

NaWO3

c

NaWO4

d

NaWO2

answer is B.

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Detailed Solution

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In a unit cell, W atoms are at eight corners of the cube. Each corner atom contributes one eight to the unit cell. The contribution of W atoms to the unit cell =8×18=1

O-atoms at the center of 12 edges. Each edge center atom contributes one fourth to the unit cell. The contribution of O atoms to the unit cell 14×12=3

Na atom is at the center of the cube. Body center atom contributes one to the unit cell. The contribution of Na atoms to the unit cell =1

The ratio of number of atoms in the cube W:O:Na=1:3:1

Hence, formula =NaWO3.

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