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Which of the following ions have radius ...

Which of the following ions have radius greater than `F^(-)`? 

A

`H^(-)`

B

`Cl^(-)`

C

`Br^(-)`

D

`I^(-)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which ions have a radius greater than \( F^- \) (fluoride ion), we will analyze the size of each ion in comparison to \( F^- \). ### Step-by-Step Solution: 1. **Understanding the Fluoride Ion \( F^- \)**: - The fluoride ion has gained one electron compared to the neutral fluorine atom. Fluorine has an atomic number of 9, meaning it has 9 protons and, in the ion form, 10 electrons. - The effective nuclear charge (the net positive charge experienced by electrons) is relatively high due to the presence of 9 protons attracting 10 electrons, which results in a smaller ionic radius. 2. **Comparing with \( H^- \) (Hydride Ion)**: - The hydride ion has 1 proton and 2 electrons. The effective nuclear charge is low because there is only 1 proton to attract 2 electrons. - Therefore, the radius of \( H^- \) is greater than that of \( F^- \) due to the lower nuclear charge in hydrogen. 3. **Comparing with \( Cl^- \) (Chloride Ion)**: - Chlorine has an atomic number of 17, meaning it has 17 protons and, in the ion form, 18 electrons. - As we move down the group in the periodic table (from fluorine to chlorine), the number of electron shells increases, leading to a larger ionic radius. Thus, \( Cl^- \) has a greater radius than \( F^- \). 4. **Comparing with \( Br^- \) (Bromide Ion)**: - Bromine has an atomic number of 35, meaning it has 35 protons and, in the ion form, 36 electrons. - Similar to chlorine, bromine is further down the group, which means it has more electron shells and a larger ionic radius than \( F^- \). 5. **Comparing with \( I^- \) (Iodide Ion)**: - Iodine has an atomic number of 53, meaning it has 53 protons and, in the ion form, 54 electrons. - Iodine is even further down the group than bromine, resulting in an even larger ionic radius compared to \( F^- \). ### Conclusion: The ions that have a radius greater than \( F^- \) are: - \( H^- \) - \( Cl^- \) - \( Br^- \) - \( I^- \) Thus, all the ions listed (1, 2, 3, and 4) have a radius greater than \( F^- \).
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