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Chemistry · Ch 7 — Chemical Kinetics

Molecularity

7.4

Molecularity

From rate laws to mechanism. Kinetics does not stop at measuring an overall rate law -- it also aims to propose a believable step-by-step REACTION MECHANISM that could produce that rate law. Each individual step of a proposed mechanism is called an elementary reaction, and every elementary step carries its own molecularity: simply the total number of reactant species (atoms, ions or molecules) that must come together in that one step for it to occur. Unlike order, molecularity is a purely theoretical, structural count for one step -- it is always a whole positive number (1, 2, or rarely 3), never zero and never fractional, because you cannot have 'half a molecule' colliding.

Unimolecular example. The hydrolysis of t-butyl bromide (from Class XI) has a rate-determining step involving only the t-butyl bromide molecule itself -- one reactant species is enough to define the step, so it is called a Unimolecular Nucleophilic Substitution (SN1S_N1) reaction.

Bimolecular example, and why molecularity can reveal a hidden mechanism. The iodide-catalysed decomposition of hydrogen peroxide, 2H2O2(aq)→I−2H2O(l)+O2(g)2H_2O_2(aq)\xrightarrow{I^-}2H_2O(l)+O_2(g), is found experimentally to be FIRST order in both H2O2H_2O_2 AND I−I^- -- a strong clue that I−I^-, despite being written as a mere catalyst over the reaction arrow, genuinely takes part in the mechanism rather than sitting passively on the sidelines. The proposed two-step mechanism is:

Step 1 (slow, rate-determining): H2O2(aq)+I−(aq)→H2O(l)+OI−(aq)H_2O_2(aq)+I^-(aq)\rightarrow H_2O(l)+OI^-(aq)

Step 2 (fast): H2O2(aq)+OI−(aq)→H2O(l)+I−(aq)+O2(g)H_2O_2(aq)+OI^-(aq)\rightarrow H_2O(l)+I^-(aq)+O_2(g)

Adding the two steps together, the intermediate OI−OI^- and the catalyst I−I^- both cancel appropriately, regenerating exactly the overall reaction. Step 1, involving two distinct reactant species (H2O2H_2O_2 and I−I^-) colliding, is BIMOLECULAR -- and because Step 1 is also the slow, RATE-DETERMINING step, the observed overall order (first in each of H2O2H_2O_2 and I−I^-) matches this one step's molecularity exactly, which is how kinetic data is used as evidence for a proposed mechanism. …

Table order-vs-molecularityDifferences between order and molecularity of a reaction
#Order of a reactionMolecularity of a reaction
1Sum of the powers of concentration terms in the EXPERIMENTALLY determined rate lawTotal number of reactant species involved in an elementary step
2Can be zero, fractional, or an integerAlways a whole number; cannot be zero or fractional