Distilled water is usually a pure substance. Occasionally it contains a very small amount of chloride ions, and then it is an homogeneous mixture.
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Homogeneous mixture
A homogeneous mixture is a mixture with uniform composition. The parts of a homogeneous mixture can not be separated from one another mechanically.
Homogeneous, and sometimes also a solution.
This can be considered either. If the suspended water is equally distributed in air then it ishomogeneous If it is close to the dew point you will get localized concentrations of water (just before droplets form) and then it is heterogeneous.
River water is generally a heterogeneous mixture based on the different components it is carrying. Water by definition is not an element, rather a molecule comprised of them.