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Elemantary unimolecular reactions have first order rate laws, elementary bimolecular reactions have second order rate laws. A rate law is often derived from a proposed mechanism by imposing the state approximation or by assuming that there is a pre -equilibrium. A proposed mechanism must be consistent with the experiment rate law. The decomposition of O_(3) obeys themechanism give below Step 1: O_(3)hArrO_(2)+(O) (both forward and backward reactions are fast) Step 2: O_(3)+(O)overset("slow")(to)O_(2)+O_(2) (ignore) backward reaction), the rate of reaction is given by

Answer»

`k[O_(3)]^(2)[O_(2)]`
`k[O_(3)]^(2)[O_(2)]^(-1)`
`k[O_(3)]^(2)`
`k[O_(2)]^(2)`

Solution :`K_(E)=[(O_(2)][O])/([O_(3)])IMPLIES[O]=(K_(e).[O_(3)])/([O_(2)]),r=K_(1)[O_(3)][O]=r=K_(1).[O_(3)].K_(C).([O_(3)])/([O_(2)]),r=K.[O_(3)]^(2)[O_(2)]^(-1)`


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