Lesson 3 of 11 · 6 min
Order of a reaction and units of k
NCERT §3.2.3
The club writes k on the board as 1.73. A teacher crosses it out: "1.73 what?" The units turn out to carry the order of the reaction.
The lesson in notes
In short
Order is the sum of the powers in the experimental rate law. In rate = k[A]^x[B]^y the order is x + y; x alone is the order with respect to A.
Order can be 0, 1, 2, 3, or a fraction. Zero order means the rate does not change with concentration of that reactant.
An elementary reaction happens in one step. A complex reaction is a series of elementary steps (a mechanism), and its order comes from that mechanism, not from the overall equation.
Units of k follow from rate = k[A]ⁿ: k has units (mol L⁻¹)^(1−n) s⁻¹.
Zero order: mol L⁻¹ s⁻¹. First order: s⁻¹. Second order: L mol⁻¹ s⁻¹ (mol⁻¹ L s⁻¹).
Working backwards, the units of a stated k give its order: k = 3 × 10⁻⁴ s⁻¹ is first order; k = 2.3 × 10⁻⁵ L mol⁻¹ s⁻¹ is second order.
Order is always an experimental quantity. It can change with conditions, as when a reactant is present in large excess.