To compare the valence electrons of francium (Fr) and barium (Ba):
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Francium (Fr) is in Group 1 of the periodic table and has 1 valence electron. Its electron configuration ends in \(6s^1\), indicating that its valence electron is in the 6th energy level.
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Barium (Ba) is in Group 2 of the periodic table and has 2 valence electrons. Its electron configuration ends in \(6s^2\), indicating that its valence electrons are also in the 6th energy level.
Based on this information, francium has fewer valence electrons (1) compared to barium (2), but both elements have their valence electrons in the same energy level (6th level).
The correct statement is: Francium has fewer valence electrons, but they are in a higher energy level. However, since both have their valence electrons in the same energy level, the better statement that captures the relationship is:
Francium has fewer valence electrons (1) than barium (2) in the same energy level (6).
However, since no options directly state that both elements have valence electrons in the same energy level, we can point out that:
Francium has fewer valence electrons, but they are in a higher energy level. would be misleading; both elements have their valence electrons in the same energy level.
In conclusion, the given options seem somewhat misleading or incorrect in relation to the commonly understood behaviors of these elements.