Electrical conductivity
The electrons in the metal are delocalised, so they are free to move throughout the crystal in a certain direction when a potential difference is applied. Therefore metals can conduct electricity in the solid state.
The delocalised electrons are still present in the liquid stte, so metals can conduct electricity in the liquid state too.
Melting and boiling points
The bonding in metals is relatively strong (though not as strong as in ionic compounds) so the melting and boiling points of metals are relatively high.
Smaller ions (and those with a high charge) attract the electrons more strongly and so they have higher melting points than larger ions with a low charge.
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