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It's a physical change because carbon dioxide still has it's same properties. It is not changed.

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Even if you dissolve it in water it is still there thus making it a physical change and not a chemical change. If it were a chemical change then it would be changed for example, fire or burning things like logs and so forth. Dissolving something in water is not changing it completely it only has a minor change in how you see it, thus it is a physical change.

The only 'chemical' change might be considered to be the protolysis of water being slightly enhanced by the hydrogen bonding to carbon dioxide molecules. But that is more a (very weak) 'chemical' change of water molecules rather than of CO2 molecules:

(CO2)aq + 2 (H2O)l <<--> (HCO3-)aq + (H3O+)aq

An analogon to this is: dissolving HCl-gas to hydrochloric acid, which is also not considered as chemical change of HCl, only water molecules are becoming strongly acidic!

(HCl)aq + (H2O)l -->> (Cl-)aq + (H3O+)aq

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