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Which of the following contains rock sal...

Which of the following contains rock salt structure?

A

`SrF_(2)`

B

MgO

C

`AI_(2)O_(3)`

D

All of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options contains a rock salt structure, we need to analyze the characteristics of the rock salt structure and apply them to the options provided. ### Step-by-Step Solution: 1. **Understand the Rock Salt Structure**: - The rock salt structure is characterized by a face-centered cubic (FCC) arrangement of anions (usually larger) and octahedral coordination of cations (usually smaller). - The ratio of the radius of cation (R+) to the radius of anion (R-) should lie between 0.414 and 0.732. 2. **Identify the Cation and Anion**: - For the rock salt structure, we typically look for compounds that consist of a cation and an anion. Common examples include NaCl, MgO, and others. 3. **Calculate the Radius Ratio**: - For the compound in question (let’s take MgO as an example), we need to find the ionic radii of the cation (Mg²⁺) and the anion (O²⁻). - The ionic radius of Mg²⁺ is approximately 0.072 nm, and the ionic radius of O²⁻ is approximately 0.140 nm. 4. **Compute the Radius Ratio**: - The radius ratio (R+/R-) = (Radius of Mg²⁺) / (Radius of O²⁻) = 0.072 nm / 0.140 nm ≈ 0.514. - Since 0.514 lies between 0.414 and 0.732, MgO exhibits a rock salt structure. 5. **Conclusion**: - Based on the above calculations, we conclude that MgO contains a rock salt structure. If there are other options provided, you would perform similar calculations for each to determine if they also fall within the required radius ratio. ### Final Answer: - The compound that contains a rock salt structure is **MgO**.
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