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higher polarizability means there will be stronger LDF. So, the molecules will attract one another more strongly and the melting/ boiling points of these covalent substances will increase with size because bigger the size= higher the polarizability.
Polarizability can be seen as a measure of the molecule's ability to acquire a dipole moment when exposed to an electric field, so I would say the consequence of polarizability would essentially be stronger IMFs.
Polarizing power refers to an atoms ability to pull an electron towards it. Since cations are positive, they are able to attract electrons away from the anions and towards themselves. Anions are negative. Therefore, they do not attract more electrons.
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