COMEDK · Chemistry · 16. Solid State

If same type of atoms are packed in hexagonal close packing and cubic close packing separately, then

A density of hcp will be greater than ccp
B density of hep will be smaller than ccp
C density of hcp will be equal to ccp
D density of hep and ccp will depend upon the temperature of the system

Verified Solution

Answer & Solution

Correct Answer

(C) density of hcp will be equal to ccp

Step-by-step Solution

Detailed explanation

Hexagonal close packing and cubic close packing are equally efficient. \(\therefore\) Density of both the packings will be same.

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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