Question:
A compound is formed by two elements X and Y, atoms of the element Y as anion make ccp and those of the element X as cation occupy all the octahedral voids. What is the formula of the compound ?
A compound is formed by two elements X and Y, atoms of the element Y as anion make ccp and those of the element X as cation occupy all the octahedral voids. What is the formula of the compound ?
Show Hint
In a close packed lattice, the number of octahedral voids equals the number of lattice atoms.
Updated On: Nov 12, 2026
- \(\text{X}_{3}\text{Y}_{4}\)
- \(\text{X}_{4}\text{Y}_{3}\)
- \(\text{X}_{2}\text{Y}_{3}\)
- \(\text{XY}\)
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept
In ccp, if there are \(N\) atoms of the anion, there are \(N\) octahedral voids.
Step 2: Count the Atoms
Anions Y: \(N\).
Cations X occupy all octahedral voids: \(N\).
Step 3: Ratio
\(\text{X} : \text{Y} = N : N = 1 : 1\), so the formula is \(\text{XY}\), option (D).
Final Answer:
The formula of the compound is XY. \[ \boxed{\text{(D) }\text{XY}} \]
In ccp, if there are \(N\) atoms of the anion, there are \(N\) octahedral voids.
Step 2: Count the Atoms
Anions Y: \(N\).
Cations X occupy all octahedral voids: \(N\).
Step 3: Ratio
\(\text{X} : \text{Y} = N : N = 1 : 1\), so the formula is \(\text{XY}\), option (D).
Final Answer:
The formula of the compound is XY. \[ \boxed{\text{(D) }\text{XY}} \]
Was this answer helpful?
0
0
Top MHT CET Chemistry Questions
- The temperature of $32^{\circ}C$ is equivalent to
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
- If a metal crystallises in bcc structure with edge length of unit cell $4.29 \times 10^{-8}\, cm$ the radius of metal atom is
- Which of the following oxides can act both as an oxidising agent as well as reducing agent ?
- "The mass and energy both are conserved in an isolated system", is the statement of
View More Questions
Top MHT CET packing efficiency Questions
- What is the coordination number of an atom in an FCC unit cell?
- Calculate the number of atoms per unit cell in a Face-Centered Cubic (FCC) crystal structure.
- The number of atoms per unit cell in a Body-Centered Cubic (BCC) structure is:
- Calculate the density of metal having molar mass $210 \text{ g mol}^{-1}$ that forms simple cubic unit cell. (Given: $a^{3} \cdot N_{A} = 21.5 \text{ cm}^{3} \text{ mol}^{-1}$)}
- A compound made of elements A and B form fcc structure. Atoms of A are at the corners and atoms of B are present at the centres of faces of cube. What is the formula of the compound?
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions