Why if you take a cold bottle of water and you put bottom of a moving fan the cold water doen't get freezes thus it tends to become hot?

When you place a cold bottle of water in front of a moving fan, the air from the fan will cause the water to evaporate more quickly. This rapid evaporation removes heat from the water, causing it to cool down. However, the water does not freeze because the fan is not capable of lowering the temperature of the water below its freezing point.

As the water continues to evaporate and cool down, it eventually reaches a point where it is cooler than the surrounding air. At this point, the water will start to absorb heat from the air in order to reach thermal equilibrium. This process of absorbing heat causes the water to warm up again, rather than freeze.

In summary, the moving fan helps to cool down the water through evaporation, but it does not have the ability to lower the temperature of the water to the point of freezing.

This is incorrect. If you place a cold bottle of water at the bottom of a moving fan, the water will not freeze or become hot.

The fan will cause the water to evaporate, which will cool the water down even further. The moving air from the fan will also help to circulate the cold water around the bottle, preventing any part of it from freezing.