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The electronegativity values help us to see what type of bond is formed between elements. This in turn can help us see what types of molecules will dissociate in water and become soluble. Compound bonded together ionically tend to be soluble in water due to them being salts. Those molecules fully dissociate in water whereas covalent molecules tend to not be soluble in water. They do not dissolve into their original elements like most ionic compounds do. Because electronegativity determines these bond typer, it can help determine solubility.
If there is a large difference in electronegativity (greater than 2) between two atoms, then they usually form an ionic bond. Atoms which form ionic bonds tend to have a more solid, lattice-like structure, and can dissolve more easily in water. Thus, higher difference in electronegativity = higher solubility.
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