Understanding Molecularity
Molecularity describes the number of reacting species that must collide simultaneously in a single elementary step. It is a structural property of the step and can only be 1, 2, or 3. Because it counts actual particles—molecules, atoms, or ions—it is always an integer.
- Unimolecular reaction: one reactant undergoes a transformation; molecularity = 1.
- Bimolecular reaction: two reactants collide; molecularity = 2.
- Trimolecular reaction: three particles meet at once; molecularity = 3 (rare).
Only elementary reactions have a defined molecularity. Complex reactions, which proceed through multiple elementary steps, do not have a single molecularity value.
Key Points
- Molecularity is always a whole number (1, 2, or 3).
- It applies only to elementary steps, not to overall reactions.
- Complex reactions consist of several elementary steps, each with its own molecularity.
Reaction Order: Definition and Characteristics
The order of a reaction is the sum of the exponents of the concentration terms in the rate law. It reflects how the reaction rate depends on the concentrations of the reactants. Unlike molecularity, order is determined experimentally and can be zero, fractional, or an integer.
Mathematically, for a rate law r = k[A]^a[B]^b, the overall order is a + b. The individual exponents are the orders with respect to each reactant.
Zero‑Order Reactions
Rate law: r = k. The rate is independent of reactant concentration; changing [A] does not affect the rate. Graphically, the rate‑vs‑concentration plot is a horizontal line at the constant value k.
First‑Order Reactions
Rate law: r = k[A]. The rate is directly proportional to the concentration of a single reactant. Doubling [A] doubles the rate. The graph is a straight diagonal line passing through the origin.
Second‑Order Reactions
Two common forms:
- Rate ∝ [A]^2 (single‑reactant second order) → r = k[A]^2.
- Rate ∝ [A][B] (two‑reactant second order).
The rate‑vs‑concentration plot is an upward‑curving parabola, reflecting the quadratic dependence.
Higher‑Order Reactions
Third‑order reactions are rare but follow r = k[A]^3. Doubling [A] increases the rate eightfold (2³ = 8). The graph becomes steeper than the second‑order parabola.
Units of the Rate Constant
The units of the rate constant k depend on the overall order n of the reaction, derived from the relationship k = rate·[conc]⁻ⁿ:
- Zero order: mol·L⁻¹·s⁻¹
- First order: s⁻¹
- Second order: L·mol⁻¹·s⁻¹
Rate‑Determining Step vs. Fast Steps
In a multi‑step reaction, the slowest elementary step is the rate‑determining step (RDS). It controls the overall reaction rate, while subsequent fast steps proceed quickly and do not limit the rate. This concept is analogous to traffic flow: the bottleneck dictates the speed of the entire line of cars.
Experimental Determination of Reaction Order
The initial concentration method isolates the effect of a single reactant. By varying the concentration of one reactant while keeping all others constant, the initial rates are measured. Comparing the ratios of rates reveals the exponent for that reactant.
Example: If doubling [A] quadruples the initial rate, the reaction is second order with respect to A because 2² = 4.
Steps of the Initial Concentration Method
- Choose a reactant to vary.
- Prepare several experiments with different initial concentrations of that reactant, keeping all other concentrations unchanged.
- Measure the initial rate for each experiment.
- Calculate the ratio of rates and concentrations to determine the order exponent.
Distinguishing Molecularity from Reaction Order
While both concepts involve numbers of particles, they differ fundamentally:
- Order is an experimentally determined exponent sum that can be fractional or zero; it applies to the overall reaction.
- Molecularity is the count of particles colliding in an elementary step; it is always an integer (1, 2, or 3) and pertains only to that step.
Therefore, a reaction’s overall order does not necessarily equal the molecularity of any individual step, especially when the reaction proceeds through multiple steps.
Summary
Understanding the distinction between molecularity and reaction order is essential for interpreting kinetic data. Molecularity provides insight into the mechanistic step at the molecular level, whereas reaction order describes how the macroscopic rate depends on reactant concentrations. By mastering elementary rate laws, graph interpretations, and experimental techniques such as the initial concentration method, one can accurately characterize reaction mechanisms and predict how changes in conditions will affect reaction speed.


