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Ionic radius of sodium is 0.95 and the intermolecular distance between the ion paira in nacl is ionic crystal is equal to 2.76 calculate the radius of cl ion?
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Ionic radius of sodium is 0.95 and the intermolecular distance between...
To calculate the radius of the Cl⁻ ion in NaCl, we can utilize the relationship between the ionic radii and the intermolecular distance in the ionic crystal structure.
Understanding Ionic Radii
- The ionic radius of Na⁺ is given as 0.95 Å.
- The intermolecular distance between Na⁺ and Cl⁻ in NaCl is provided as 2.76 Å.
Formula for Ionic Radius Calculation
- The total distance between the centers of the Na⁺ and Cl⁻ ions is the sum of their ionic radii:
\[
\text{Distance} = r_{Na^+} + r_{Cl^-}
\]
Calculating the Radius of Cl⁻
- Rearranging the formula gives:
\[
r_{Cl^-} = \text{Distance} - r_{Na^+}
\]
- Substituting the known values:
\[
r_{Cl^-} = 2.76 \, \text{Å} - 0.95 \, \text{Å}
\]
- Performing the calculation:
\[
r_{Cl^-} = 1.81 \, \text{Å}
\]
Conclusion
- Therefore, the radius of the Cl⁻ ion in NaCl is approximately **1.81 Å**. This calculation is crucial for understanding the ionic bonding and structure of NaCl, which has implications in various fields such as materials science and solid-state chemistry.
Understanding Ionic Radii
- The ionic radius of Na⁺ is given as 0.95 Å.
- The intermolecular distance between Na⁺ and Cl⁻ in NaCl is provided as 2.76 Å.
Formula for Ionic Radius Calculation
- The total distance between the centers of the Na⁺ and Cl⁻ ions is the sum of their ionic radii:
\[
\text{Distance} = r_{Na^+} + r_{Cl^-}
\]
Calculating the Radius of Cl⁻
- Rearranging the formula gives:
\[
r_{Cl^-} = \text{Distance} - r_{Na^+}
\]
- Substituting the known values:
\[
r_{Cl^-} = 2.76 \, \text{Å} - 0.95 \, \text{Å}
\]
- Performing the calculation:
\[
r_{Cl^-} = 1.81 \, \text{Å}
\]
Conclusion
- Therefore, the radius of the Cl⁻ ion in NaCl is approximately **1.81 Å**. This calculation is crucial for understanding the ionic bonding and structure of NaCl, which has implications in various fields such as materials science and solid-state chemistry.
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Ionic radius of sodium is 0.95 and the intermolecular distance between the ion paira in nacl is ionic crystal is equal to 2.76 calculate the radius of cl ion?
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Ionic radius of sodium is 0.95 and the intermolecular distance between the ion paira in nacl is ionic crystal is equal to 2.76 calculate the radius of cl ion? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ionic radius of sodium is 0.95 and the intermolecular distance between the ion paira in nacl is ionic crystal is equal to 2.76 calculate the radius of cl ion? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ionic radius of sodium is 0.95 and the intermolecular distance between the ion paira in nacl is ionic crystal is equal to 2.76 calculate the radius of cl ion?.
Ionic radius of sodium is 0.95 and the intermolecular distance between the ion paira in nacl is ionic crystal is equal to 2.76 calculate the radius of cl ion? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ionic radius of sodium is 0.95 and the intermolecular distance between the ion paira in nacl is ionic crystal is equal to 2.76 calculate the radius of cl ion? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ionic radius of sodium is 0.95 and the intermolecular distance between the ion paira in nacl is ionic crystal is equal to 2.76 calculate the radius of cl ion?.
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