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Fluorine and chlorine both need to gain electrons in order to achieve a stable electron configuration of 8 electrons in their outer shell, but fluorine is the smaller atom. As atoms get larger, their ability to attract electrons is reduced and they become more metallic in nature and less nonmetallic, because the outer shells of the electrons are farther from the positively charged nucleus, and even though the nucleus of larger atoms also has a larger positive charge, the increase in charge has less effect than the increase in distance, because charge is a direct proportionality and distance is an inversely squared proportionality. Distance matters more. So fluorine has the greater attraction for electrons, or as you put it, it has the greater reduction potential.

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Q: Why standard reduction potential of fluorine is greater than cl2?
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