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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Solid State

NTA Abhyas 2020 · Chemistry · Solid State

In a solid 'AB' having rock salt arrangement (NaCl structure), 'A'...

In a solid 'AB' having rock salt arrangement (NaClstructure),′A′atomsoccupythecornersandfacecenterofthecubicunitcell.′B′atomsoccupiesalloctahedralvoidsoftheunitcell.Ifalltheface−centeredatomsalongoneoftheaxesareremoved,thentheresultantstoichiometryofthesolidisstructure), 'A' atoms occupy the corners and face center of the cubic unit cell. 'B' atoms occupies all octahedral voids of the unit cell. If all the face-centered atoms along one of the axes are removed, then the resultant stoichiometry of the solid isIn a solid 'AB' having rock salt arrangement (NaCl structure), 'A' atoms occupy the corners and face center of the

Options

  1. AAB2A{B}_{2}
  2. BA2B{A}_{2}B
  3. CA4B3{A}_{4}{B}_{3}
  4. DA3B4{A}_{3}{B}_{4}

Correct answer

D. A3B4{A}_{3}{B}_{4}

Step-by-step solution

There were 6 A atoms on the face-centres removing face-centred atoms along one of the axes means removal of 2 A atoms.

Now, number of A atoms per unit cell

In a solid 'AB' having rock salt arrangement (NaCl structure), 'A' atoms occupy the corners and face center of the

Number of B atoms per unit cell

=12×14(edgecentred)+1=4(bodycentred)= \mathop{12 \times \dfrac{1}{4}}_{( edgecentred )} + \mathop{1 = 4}_{( bodycentred )}

Hence the resultant stoichiometry is A3B4{A}_{3}{B}_{4}
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