In classical science physics was essentially the science dealing with motion: an example of classical physical process is the flowing of water in a tube or the motion of the football ball.
In the same context, chemistry deals with transformation of one molecule in the other (chemical reactions), so that a typical chemical phenomenon is the salt formation by reaction of Hydrochloric Acid with Sodium Hydroxil in water solution that writes
HCl + NaOH (water solution) -> NaCl + H2O (water solution)
With the introduction of quantum theory of atoms and subatomic structures, physics started to describe with physical theories chemical reactions. For example the quantum theory of molecular orbital (without any doubt a physical theory) is the base for the modern explanation of chemical bonds, that are the links maintaining different molecules together.
Moreover, nuclear physics has started to describe much more drastic transformations like nuclear reactions transforming atoms in other atoms.
Thus at today it would be more correct to say that chemistry is a particularly extended branch of physics.
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Melting of ice with salt is example of physical change as there is no chemical reaction involved .
It is both physical and chemical. Evaporation of water is a physical process, and reduction of water from clothing is also a chemical process.
No, a decaying compost pile is not an example of a physical change. The process of composting results in a different physical appearance or state -- which is physical change -- but it is not reversible and necessitates a change in structure -- which is chemical change.
It is a physical change because the change is reversible.
Precipitation in weather terms (rain, snow, etc.) is a physical process. Precipitation in chemical terms (e.g. lead iodide falling out of solution) is a chemical change.