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Increasing molar mass means that the molecule has more electrons. When there are more electrons present, there are stronger London Dispersion Forces, and thus stronger attraction. Also, in larger/heavier molecules, the valence electrons are further away from the nucleus, which allows for easier temporary dipole interactions.
As you increase the molar mass of a molecule, you are increasing the number of electrons in that molecule which then increases the molecule's attraction to other molecules, thus resulting in stronger London Dispersion Forces.
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