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What has occured is a process called diffusion, which is the spreading of particles from a higher concentration to a lower concentration.

The particles in any gas move quicly and in all directions and fill their container because there are no bonds between them.

The jar with the bromine gas has a higher concentration of the gas particles, they move through the air particles to the jar with the lower concentration of bromine gas until they are dispersed evenly throughout the jar, hence the gas can be seen filling both jars.

The same would happen with a clear gas but bromine is used for demonstration purposes as it has a colour and so the process can be seen clearly.

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Q: Bromine gas is put into 1 jar and then a gas jar of air is placed over it after a few minutes the bromine gas can be seen filling both gas jars why?
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