One reaction that may occur in air polluted with nitrogen...

One reaction that may occur in air polluted with nitrogen monoxide is $$ 2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{~g}) \longrightarrow 2 \mathrm{NO}_{2}(\mathrm{~g}) $$ Using the data in the table, answer the questions that follow. Assume that all experiments are done at the same temperature. (a) Determine the order of reaction with respect to each reactant. (b) Write the rate law for the reaction. (c) Calculate the rate of formation of $\mathrm{NO}_{2}$ when $[\mathrm{NO}]=$ $\left[\mathrm{O}_{2}\right]=0.0050 \mathrm{~mol} / \mathrm{L}$

One reaction that may occur in air polluted with nitrogen monoxide is
$$
2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{~g}) \longrightarrow 2 \mathrm{NO}_{2}(\mathrm{~g})
$$
Using the data in the table, answer the questions that follow. Assume that all experiments are done at the same temperature.
(a) Determine the order of reaction with respect to each reactant.
(b) Write the rate law for the reaction.
(c) Calculate the rate of formation of $\mathrm{NO}_{2}$ when $[\mathrm{NO}]=$ $\left[\mathrm{O}_{2}\right]=0.0050 \mathrm{~mol} / \mathrm{L}$

Key Concepts

Reaction Order

The reaction order with respect to a given reactant is the exponent applied to its concentration in the rate law. It indicates the degree of dependence of the reaction rate on that reactant. The overall reaction order is the sum of the individual orders and helps in predicting the kinetics of the reaction under different concentration conditions.

Rate Law

The rate law in chemical kinetics is an equation that relates the rate of a reaction to the concentrations of its reactants. It typically takes the form rate = k[A]^m[B]^n, where k is the rate constant and m and n are the orders of the reaction with respect to reactants A and B, respectively. This law is determined experimentally and provides insight into how changes in concentration affect the speed of a reaction.

Method of Initial Rates

This method involves measuring the reaction rate at the very beginning of the reaction for various initial concentrations of reactants. By comparing how the rate changes when one reactant's concentration is altered while others are held constant, the order of the reaction with respect to each reactant can be determined. It is a fundamental technique for empirically determining the rate law.

Reaction Rate Calculation

Calculating the reaction rate involves using the determined rate law along with known concentrations of the reactants and the rate constant. This process provides the quantitative rate at which a product is formed or a reactant is consumed, thereby allowing for predictions and further analysis of reaction behavior under set conditions.

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