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Any bond is stronger if the atoms connected to each other have bigger difference in electronegativity. That’s because electronegative elements help lower the energy of the electrons by making them “see” a clearer positive charge from the nucleus, and as it’s known, electrons are negative and opposites attract, leaving behind lower energy e’s.
In the periodic table, electronegativity increases by going from left to right. N is on the left of O while O is on the left of F. In other words, if you look at the periodic table, you will see “N O F,” meaning that F is more electronegative than O while O is more electronegative than N. As such, bond strengths can be arranged as follows:
H-F > H-O > H-N.
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