in a crystal solid A occupies the lattice point, B occupies the octahedral voids &half of the tetrahedral voids,find out the formula of the formula of the compound
Answers
Answer:ab2
Explanation:
Answer:
- The Formula of the compound is AB₂
Given:
- "A" Occupies Lattice points.
- "B" Occupies Octahedral voids and 1/2 of tetrahedral voids.
Explanation:
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As given, "A" occupies lattice points,
Therefore,
⇒ No. of A atoms = No. of Lattice Points
We know for CCP,
- Lattice Point = 4
Substituting,
⇒ No. of A atoms = 4
⇒ Number of A atoms forming CCP = 4
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In case of "B" Element it occupies octahedral voids completely and 1/2 of the tetrahedral voids.
Therefore,
⇒ Atoms of B = O.V Voids + 1 / 2 T.V Voids
We know in CCP,
- O.V Voids = 4
- T.V. Voids = 8
Substituting,
⇒ Atoms of B = 4 + (1 / 2 × 8)
⇒ Atoms of B = 4 + 4
⇒ Atoms of B = 8
⇒ Number of Atoms of B = 8
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Now, Finding the formula,
Formula of the compound = A : B
= A : B = 4 : 8
= A : B = 1 : 2
= A : B = 1 : 2
∴ The formula of the compound is AB₂.
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