AP EAMCET · Chemistry · Hydrocarbons

The fraction of voids occupied in the inverse spinel compounds are

A ${\frac{1}{8}}^{th}$ of tetrahedral voids and $\frac{1}{2}$ of octahedral voids.
B $\frac{1}{2}$ of tetrahedral voids and ${\frac{1}{8}}^{th}$ of octahedral voids.
C ${\frac{1}{4}}^{th}$ of tetrahedral voids and ${\frac{1}{8}}^{th}$ of octahedral voids.
D ${\frac{1}{8}}^{th}$ of tetrahedral voids and ${\frac{1}{4}}^{th}$ of octahedral voids.

Verified Solution

Answer & Solution

Correct Answer

(A) ${\frac{1}{8}}^{th}$ of tetrahedral voids and $\frac{1}{2}$ of octahedral voids.

Step-by-step Solution

Detailed explanation

The formula of inverse spinels is AB2O4. The AII ions occupy the octahedral voids, whereas one-half of BIII ions occupies the tetrahedral voids and the other half occupies the octahedral sites.

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.

Same subject

Explore more questions on app

From AP EAMCET

Explore more questions on app