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Question

The unit cell of a NaCl lattice


A

Is body centred cube

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B

Has ions

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C

Has 4NaCl units

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D

Is electrically charged

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Solution

The explanation for the correct option

Option(A) Has 4 NaCl units.

  • NaCl has a cubic unit cell
  • In which the sodium ion is occupying all the octahedral sites.
  • ... hence the number of sodium ions:

Na+=1+12×14

=4sodiumionstotalpercell

  • The chloride ions are ​​at the corners and at the center of each face of the cube. hence the number of chloride ions:

Cl=4×12+8×18

=4chlorideionstotalperCell

  • ​Hence, The unit cell of a NaCl lattice has 4 NaCl units.

The explanation for the incorrect option

(B) Is electrically charged- it is not electrically charged in its solid state but it conducts electricity in its molten state.

(C) Has 3 Na+ ions- it contains 4 Na+ ions in a unit cell

(D) Is body-centered- It is not body-centered, all the chloride ions have FCC lattice, and the sodium ions are occupying in the octahedral voids.

Hence, Option(A) is correct, The unit cell of a NaCl lattice has 4 NaCl units.


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