Gaseous NO2 decomposes at 573 K NO2(g) →NO(g)+1 / 2 O2(g) The concentration of NO2 was measured

step 1 Number 33 is also a problem relating a graphical representation of the changing concentration to

Gaseous NO2 decomposes at 573 K NO2(g) →NO(g)+1 / 2 O2(g)...

Gaseous $\mathrm{NO}_{2}$ decomposes at $573 \mathrm{K}$ $$ \mathrm{NO}_{2}(\mathrm{g}) \rightarrow \mathrm{NO}(\mathrm{g})+1 / 2 \mathrm{O}_{2}(\mathrm{g}) $$ The concentration of $\mathrm{NO}_{2}$ was measured as a function of time. A graph of $1 /\left|\mathrm{NO}_{2}\right|$ versus time gives a straight line with a slope of 1.1 L/mol $\cdot$ s. What is the rate law for this reaction? What is the rate constant?

Gaseous $\mathrm{NO}_{2}$ decomposes at $573 \mathrm{K}$
$$
\mathrm{NO}_{2}(\mathrm{g}) \rightarrow \mathrm{NO}(\mathrm{g})+1 / 2 \mathrm{O}_{2}(\mathrm{g})
$$
The concentration of $\mathrm{NO}_{2}$ was measured as a function of time. A graph of $1 /\left|\mathrm{NO}_{2}\right|$ versus time gives a straight line with a slope of 1.1 L/mol $\cdot$ s. What is the rate law for this reaction? What is the rate constant?

Key Concepts

Integrated Rate Law

The integrated rate law is derived from the differential rate law and provides a relationship between the concentration of a reactant and time. For instance, in a second-order reaction, the integrated rate law is expressed as 1/[A] = 1/[A]_0 + kt, which allows for the determination of the rate constant and reaction order through plots of 1/[A] versus time.

Graphical Methods in Kinetics

Graphical analysis is a method used to determine the order of a reaction and its rate constant by plotting transformed concentration data versus time. For example, a linear plot of 1/[A] against time indicates second-order kinetics, with the slope equal to the rate constant. This technique is widely used because it provides a straightforward way of deducing kinetic parameters from experimental data.

Reaction Order

The reaction order indicates how the rate depends on the concentration of the reactants. In rate laws, the exponents of the concentration terms are the orders of the reaction. Determining the overall order of a reaction helps in understanding how the reaction rate is affected by changes in the concentrations of the involved species.

Reaction Kinetics

Reaction kinetics deals with the study of rates at which chemical reactions proceed and the factors that affect these rates. It involves developing rate laws that relate the speed of a reaction to the concentration of its reactants, and determining rate constants that quantify the reaction speed under specified conditions.

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