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Which is (are) correct among the followi...

Which is (are) correct among the following ? .

A

The radius of `CI^(Θ)` ion is `1.56 Å` while that of `Na^(o+)` ion is `0.95Å` .

B

The radius of `CI` atom is `0.99` while that of Na atom is `1.54`

C

The radius of `CI` atom is `0.99` while that of `CI^( Θ)` ion is `0.81`

D

The radius of Na atom is 0.95 while that of `Na^(o+)` ion is `1.54` .

Text Solution

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The correct Answer is:
To determine which statements are correct regarding the ionic radii of Cl⁻ and Na⁺, we will analyze the properties of these ions based on their atomic structure and periodic trends. ### Step-by-Step Solution: 1. **Identify the Parent Atoms**: - Sodium (Na) is in Group 1 (alkali metals) and has a parent atom of Na. - Chlorine (Cl) is in Group 17 (halogens) and has a parent atom of Cl. 2. **Understand the Ionic Forms**: - Sodium forms a cation (Na⁺) by losing one electron. - Chlorine forms an anion (Cl⁻) by gaining one electron. 3. **Analyze the Size of Ions**: - **Cations**: The size of cations is always smaller than their parent atoms because the loss of an electron leads to a higher effective nuclear charge (more protons than electrons), pulling the remaining electrons closer to the nucleus. Thus, Na⁺ will be smaller than Na. - **Anions**: The size of anions is always larger than their parent atoms because the gain of an electron results in increased electron-electron repulsion and a lower effective nuclear charge (more electrons than protons). Thus, Cl⁻ will be larger than Cl. 4. **Compare the Sizes of Na⁺ and Cl⁻**: - Since Na⁺ is smaller than Na and Cl⁻ is larger than Cl, we can compare the sizes of Na⁺ and Cl⁻ directly. - Generally, within the same period, the size of cations decreases and the size of anions increases. Therefore, Na⁺ (a cation) will be smaller than Cl⁻ (an anion). 5. **Check the Given Options**: - **Option 1**: Radius of Cl⁻ > Radius of Na⁺ (Correct) - **Option 2**: Radius of Cl > Radius of Na (Incorrect, as Cl is larger than Na) - **Option 3**: Radius of Cl⁻ > Radius of Cl (Incorrect, as Cl⁻ is larger than Cl) - **Option 4**: Radius of Na > Radius of Na⁺ (Incorrect, as Na⁺ is smaller than Na) 6. **Conclusion**: - The only correct statement is that the radius of Cl⁻ is greater than that of Na⁺. ### Summary of Correctness: - The correct statement is that the radius of Cl⁻ is greater than the radius of Na⁺.

To determine which statements are correct regarding the ionic radii of Cl⁻ and Na⁺, we will analyze the properties of these ions based on their atomic structure and periodic trends. ### Step-by-Step Solution: 1. **Identify the Parent Atoms**: - Sodium (Na) is in Group 1 (alkali metals) and has a parent atom of Na. - Chlorine (Cl) is in Group 17 (halogens) and has a parent atom of Cl. ...
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