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Q.

Calculate the formula of a compound if its structure has sodium atoms at the cube centres, oxygen atoms at the cube edges while tungsten (W) atoms are located at the corners of the unit cell. Also, write the type of the lattice represented by this compound. 

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a

NaWO2

b

NaWO3

c

Na2WO3

d

NaWO4

answer is B.

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Detailed Solution

From the given data, it is clear that the lattice type of the compound is simple cubic. 

No. of Na atoms at the cube centre

=1×1=1

No. of 0-atoms at the cube edges

=12 edges ×14=3 edges 

No. of W-atoms at the corners of unit cell

3                 30         =8×18=1.

 Formula of compound

=Na1O3W1 or  NaWO3

So, the correct answer is (2).

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