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How to work out the expansion ratio of a gas fireball.

Eg:

Just say we have a ball of gas-- no container, 1 liter in volume suspended in mid air & we ignite it, how far would the flame front extend to form the fireball, what volume would it occupy once ignited?.

An example of the equations would be helpful, i haven't specified what gas, density etc etc as i am not sure exactly what is needed to calculate this.

Thanks

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# Gas expansion ratio

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