chemisorbed vs physisorbed:
the difference is indeed that in physisorption the molecules are not reacting, but held close to the sorbent by physical interaction, such as van der waals forces. In chemisorption a reaction takes place, such as electron transfer (for example, protons adsorbing on platinum in watery solutions near 0V), which then means the sorbents chemically interact
chemisorption is often an intermediate state in a full chemical reaction, and is usually reversible