If the pressure of X is small, the process
might become more significant than activation by the inert gas
so that this step would have to be added to the mechanism.
Taking the positive root and computing the reaction velocity as above, we find
The overall reaction is .
The rate is therefore
where we interpret as
since oxygen is a gas which escapes
from solution. Give or take this minor point, we get
where is the total concentration of
bromide in solution.