Can you please help me figure out why evaporation is a cooling process and why becoming a solid is a heating process?

evaporation absorbs heat from the environment, thus "cooling" the environment.

becoming solid is a heating process as heat is moved from the mass being solidified to the environment. The environment is getting the heat.

We could go through a long explanation about kinetic energy and how it takes energy to make the molecules of a liquid become a gas. The energy must come from somewhere and that place is the liquid. However, I personally, like to write this simple equation.
We know that we must ADD heat to make water turn to vapor.
H2O(l) + heat ==> H2O(g)
We can add the heat with a burner to help it along, OR we can let nature do it. If nature does it, the heat must come from some place, and that is the liquid. It's an endothermic process.
Crystallization, however, is an exothermic process. Here is the equation.
H2O(s) + heat ==> H2O(l) OR
ice + heat ==> melts to liquid
So if we must ADD heat to melt ice, which we know we must do, then the reverse of that (liquid to ice) MUST give off heat (exothermic). I hope this helps.

Sure, I can help you understand why evaporation is a cooling process and why becoming a solid is a heating process.

Evaporation is a cooling process because when a liquid evaporates, it absorbs heat from its surroundings to convert into a gas. This heat is used to break the intermolecular bonds between the molecules in the liquid, allowing them to escape into the air as vapor. In this process, the higher-energy molecules escape, leaving behind the lower-energy molecules. The average kinetic energy of the remaining liquid molecules decreases, resulting in a lower temperature. This is why we feel cool when a liquid evaporates, such as when our skin becomes wet and the water evaporates, or when we sweat, and the sweat evaporates from our skin.

On the other hand, becoming a solid is a heating process because when a substance solidifies, it releases heat to its surroundings. The heat that is released is the result of the molecules in the liquid coming together and forming a more ordered and stable arrangement in the solid state. This process is called crystallization. The released heat raises the temperature of the surroundings, which is why we feel warmth when a liquid freezes into a solid, like when water freezes into ice.

To summarize, evaporation is a cooling process because it absorbs heat from the surroundings, while becoming a solid is a heating process because it releases heat to the surroundings. These processes involve the transfer of energy to or from the environment, resulting in changes in temperature.