Answer 1:
I'm not a chemist, but I asked my officemate who
is a chemist, and he says that you're actually
asking two questions. The first question is
whether the polarity will change if an atom bonds
with the same atom from another molecule, and the
answer is yes, the polarity will change. The
second question is how can the bond form if the
polarity is different, and the answer to that is
that electrons are shared or "stolen" when
chemical bonds form. Don't confuse polarity with
chemical bonds (some molecules have polar bonds
but are not polar molecules). If you are only
considering a bond between the same two atoms, it
is a covalent bond. In covalent bonds, atoms share
electrons equally. So when two hydrogen atoms bond
together, both share an electron to fill a valence
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