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The temperature decrease caused by a drop of liquid nitrogen in a glass of water depends on several factors, including the initial temperature of the water, the volume of the water, and the amount of liquid nitrogen added. However, we can make some general estimates based on the properties of liquid nitrogen.

Liquid nitrogen has a boiling point of approximately -196 degrees Celsius (-321 degrees Fahrenheit). When a drop of liquid nitrogen comes into contact with the water, it rapidly evaporates and absorbs heat from the surrounding environment, including the water.

The amount of temperature decrease depends on the relative quantities of the liquid nitrogen and the water. Assuming a small drop of liquid nitrogen is added to a typical glass of water:

  1. Initially, the liquid nitrogen will evaporate rapidly and cool the immediate surrounding area, including the water.

  2. The temperature of the water in the immediate vicinity of the drop of liquid nitrogen will drop significantly, potentially reaching the boiling point of liquid nitrogen (-196 degrees Celsius).

  3. As the cold water mixes with the remaining water in the glass, the temperature decrease will spread, but the extent and speed of this cooling will depend on the size of the glass and the volume of water.

It's important to note that dropping liquid nitrogen directly into a glass of water can be dangerous, as rapid evaporation can cause splattering and potential injury. If you are considering experiments involving liquid nitrogen, it is crucial to follow proper safety protocols and guidelines.

To accurately determine the precise temperature decrease caused by a drop of liquid nitrogen in a glass of water, you would need to consider the specific quantities, conditions, and measurements involved, which may require experimental observation or more detailed calculations.

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