How to Quickly Find out the Unit of a Reaction Rate Constant

A reaction rate constant/coefficient k is a proportionality constant which quantifies the rate and direction of a chemical reaction by relating it with the concentration of reactants in chemical kinetics.


The order of reaction is a number which quantifies the degree to which the rate of a chemical reaction depends on concentrations of the reactants.

In other words, the order of reaction is the exponent to which the concentration of a particular reactant is raised. For instance, the rate law can be expressed as: Rate = k [A]x [B]y where k = Rate constant, A & B are reactants and x & y are the orders of the reaction w.r.t. A & B respectively.

Mnemonic: The absolute value of the exponents of L & mol one less than the reaction order

Question:

What is the unit of the rate constant for a reaction that occurs between two second-order reactants?

Solution:


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For 2nd order, L1 mol─1 s─1 or M─1 s−1

For 1st order, L0 mol0 s─1 or s─1

For zero order, L─1 mol+1 s−1 or M s−1

Kaleidoscopic kinetics❓ Let Chemaficionado know in the comments below or at mychemistryhomework@gmail.com❗

References:

(1)    Wikipedia Contributors. Rate equation. Wikipedia. https://en.wikipedia.org/wiki/Rate_equation.

(2)    Brown, C.; Ford, M. Higher Level Chemistry, 2nd ed.; Pearson Education: Harlow, Essex, 2014.

(3)    Ncert. Chemistry : Textbook for Class XII - Part.I; National Council Of Educational Research And Training: New Delhi.

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