Why is potassium more reactive than sodium?

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Potassium is more reactive than sodium primarily because of the difference in their ionization energy, which is the energy required to remove an electron from an atom.1

As you move down the alkali metals group in the periodic table, the atoms become larger and the valence electron is located increasingly farther from the positive nucleus. Because this electron is further away, it is less strongly attracted to the nucleus and therefore easier to remove.12

Specifically, potassium has a lower first ionization energy (418.8 kJ/mol) compared to sodium (495.8 kJ/mol). This lower energy requirement allows potassium to lose its valence electron more readily, making it more chemically reactive in its interactions with other substances, such as water and oxygen.231