For many years the reaction Hz (g) + I2 (g) →7 2 HI (g) and its reverse were assumed to be elementary bimolecular reactions. However, I.H. Sullivan (J. Chem. Phys. 46, 73 (1967)) suggested that the following mechanism for the reaction, originally proposed by M. Bodenstein (z. Physik. Chem. 29, 56 (1898)), provides a better explanation of the experimental results:
Obtain the expression for the rate of formation of HI based on this mechanism. Under what conditions does this rate law reduce to the one for the originally accepted mechanism?

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(1) II+I (2) I+1+H, - HI + HI k3