QUESTION IMAGE
Question
analysis questions:
- does f⁻ have a larger or smaller radius than al³⁺?
Step1: Determine electron configurations
$F^-$ has gained 1 electron, so its electron configuration is the same as Ne: $1s^2 2s^2 2p^6$. $Al^{3+}$ has lost 3 electrons, so its electron configuration is also the same as Ne: $1s^2 2s^2 2p^6$. So they have the same number of electron shells and the same electron configuration.
Step2: Compare nuclear charges
The nuclear charge of $F^-$ comes from F nucleus, which has 9 protons. The nuclear charge of $Al^{3+}$ comes from Al nucleus, which has 13 protons. Since $Al^{3+}$ has a greater nuclear charge (more protons), it will pull the electron cloud more strongly towards the nucleus.
Step3: Relate nuclear charge to ionic radius
With the same electron cloud (same number of electrons and same electron configuration), a greater nuclear charge will result in a smaller ionic radius. So $F^-$ has a larger radius than $Al^{3+}$ because it has a smaller nuclear charge, so the electron cloud is less pulled in.
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$F^-$ has a larger radius than $Al^{3+}$