Molecule travelling speed wisdom

A book says that water molecules in a breaker travel at hundreds or meters per second, I then looked up how fast molecules travel to double check and it said that air molecules travel at 500 metres per second! How are molecules able to travel this fast? Especially since when I pour water from a bottle it doesn't come traveling out at the speed of sound! 😄

A book says that water molecules in a breaker travel at hundreds or meters per second, I then looked up how fast molecules travel to double check and it said that air molecules travel at 500 metres per second! How are molecules able to travel this fast? Especially since when I pour water from a bottle it doesn't come traveling out at the speed of sound! 😄

Eimmanuel answered your question very well so this might be redundant but I'll just add a quick lazy explanation:
The air molecules do travel at an average of 500m/s speed in between collisions with other molecules. But they are all travelling in different directions, changing direction after collision which gives an average velocity (adding up the vector components of each particle results, statistically, in them cancelling out) of anything from 0 to maybe a few m/s if you're blowing air through a vortex like that created by a small fan. It's like the difference between electron speed and drift velocity in wires. In between collisions, they travel very fast, but drift velocity is around 10^-3 m/s on a good day.

@Eimmanuel sorry, but I didn't know any of the things that you were referring to

...I then looked up how fast molecules travel to double check and it said that air molecules travel at 500 metres per second! ...

The speed that you quoted can be deduced from the Maxwell-Boltzmann velocity or speed distribution.

If you don't understand what I meant by "the speed of the water molecules is most likely to proportional to the self-diffusion coefficient of the water molecules.", I think it is ok because this is beyond A level.

If you tell me you don't know anything from the link given below (which I had posted above), you either did not even bother to look or you are just trolling in your reply (seem like what you like to do ) because the concepts are mainly from O level physics or chemistry known as kinetic particle theory or similar phrases.
https://chem.libretexts.org/Textbook_Maps/General_Chemistry/Map%3A_Chemistry_-_The_Central_Science_(Brown_et_al.)/11%3A_Liquids_and_Intermolecular_Forces/11.1%3A_A_Molecular_Comparison_of_Gases%2C_Liquids%2C_and_Solids

How the "speed of molecules" is connected to diffusion? Think about everyday phenomenon. If someone in your family is making some cookies with nice fragrance in the kitchen, you can smell them in your room. The molecules that make up of the fragrance have diffused randomly to your room at certain "drift speed" which depends on the "speed of the air molecules" at that temperature.
Similarly, in water, we observed such diffusion of potassium permanganate (VII) in water too.
https://www.youtube.com/watch?v=55CPfc9ij48
The rate of diffusion of potassium permanganate is depending on the "speed of the water molecules".

You can play with this simulation to see "relationship".
http://lab.concord.org/embeddable.html#interactives/sam/diffusion/2-temperature.json

Eimmanuel answered your question very well so this might be redundant but I'll just add a quick lazy explanation:
The air molecules do travel at an average of 500m/s speed in betwen collisions with other molecules. But they are all travelling in different directions, changing direction after collision which gives an average velocity (adding up the vector components of each particle results, statistically, in them cancelling out) of anything from 0 to maybe a few m/s if you're blowing air through a vortex like that created by a small fan. It's like the difference between electron speed and drift velocity in wires. In between collisions, they travel very fast, but drift velocity is around 10^-3 m/s on a good day.

A book says that water molecules in a breaker travel at hundreds or meters per second, I then looked up how fast molecules travel to double check and it said that air molecules travel at 500 metres per second! How are molecules able to travel this fast? Especially since when I pour water from a bottle it doesn't come traveling out at the speed of sound! 😄