TS EAMCET · Chemistry · Amines

$NaCl$ is a $FCC$ lattice where ${Na}^{+}$ ions are at corner and face centre positions. Chloride ions are at edge centres and body centre positions. How many $NaCl$ formula units will be in an unit cell

A $2$
B $4$
C $3$
D $1$

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Answer & Solution

Correct Answer

(B) $4$

Step-by-step Solution

Detailed explanation

Here, it is given that NaCl is a FCC lattice. Na+ ions occupy corner positions and face centres of the cube and Cl- ions are located at the centre of the cube. We know that, There are 8 corners present in a cube and each corner contributes 18th to the unit cell and 6 faces…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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NaCl is a FCC lattice where Na+ ions are at corner and face centre positions. Chloride ions are at edge centres and body centre positions. How many NaCl formula units will be in an unit cell

Step-by-step Solution

$NaCl$ is a $FCC$ lattice where ${Na}^{+}$ ions are at corner and face centre positions. Chloride ions are at edge centres and body centre positions. How many $NaCl$ formula units will be in an unit cell