OBJECTIVE. Identify the reaction order from the rate law....

OBJECTIVE. Identify the reaction order from the rate law. What is the order in each reactant and the overall order for a reaction that has the following rate law? (a) rate $=k[\mathrm{NO}]\left[\mathrm{NO}_{2}\right]^{2}$ (b) rate $=k\left[\mathrm{O}_{2}\right]^{1 / 2}\left[\mathrm{Cl}_{2}\right]$ (c) rate $=k[\mathrm{HClO}]^{2}\left[\mathrm{OH}^{-}\right]$

OBJECTIVE. Identify the reaction order from the rate law.
What is the order in each reactant and the overall order for a reaction that has the following rate law?
(a) rate $=k[\mathrm{NO}]\left[\mathrm{NO}_{2}\right]^{2}$
(b) rate $=k\left[\mathrm{O}_{2}\right]^{1 / 2}\left[\mathrm{Cl}_{2}\right]$
(c) rate $=k[\mathrm{HClO}]^{2}\left[\mathrm{OH}^{-}\right]$

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Key Concepts

Rate Law

The rate law is a mathematical expression that relates the rate of a chemical reaction to the concentrations of its reactants and a rate constant. It shows how the rate depends on each reactant by including the concentration of each reactant raised to a power.

Reaction Order

The reaction order with respect to a specific reactant is determined by the exponent of its concentration in the rate law. This indicates the extent to which the reaction rate is affected by changes in that reactant’s concentration.

Overall Reaction Order

The overall reaction order is found by summing the individual orders with respect to each reactant. It provides a measure of the total dependence of the reaction rate on the concentrations of all reactants.

Fractional Reaction Order

A fractional reaction order occurs when the exponent on a reactant’s concentration is a non-integer. This suggests that the mechanism of the reaction may be complex and that the rate does not vary in a simple proportional relationship with the concentration of that particular reactant.

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