The hypothetical elementary reaction 2 A →B+C has a rate...

The hypothetical elementary reaction $2 \mathrm{A} \rightarrow \mathrm{B}+\mathrm{C}$ has a rate constant of $10^{-6} \mathrm{M}^{-1} \cdot \mathrm{s}^{-1} .$ What is the reaction velocity when the concentration of $\mathrm{A}$ is $10 \mathrm{mM} ?$

Key Concepts

Elementary Reaction

An elementary reaction is a single-step process in which the rate law can be directly deduced from its stoichiometry. In such reactions, the molecularity (number of molecules colliding) determines the order of the reaction with respect to each reactant.

Rate Law

The rate law is an expression that relates the reaction rate to the concentrations of the reactants. For elementary reactions, the exponents in the rate law correspond to the stoichiometric coefficients of the reactants, providing a straightforward way to express how changes in concentration affect the rate.

Second Order Reaction

A second order reaction is one where the overall reaction order is two, meaning the reaction rate is proportional to the square of the concentration of a single reactant or to the product of the concentrations of two reactants. This concept is crucial in understanding how the rate changes as reactant concentrations vary.

Rate Constant and Units

The rate constant is a proportionality factor in the rate law that is specific to a given reaction at a given temperature. Its units depend on the overall order of the reaction; for a second order reaction, the units are typically inverse molarity per second (M?¹ s?¹), ensuring that the rate, when calculated, has units of concentration per time.

Unit Conversion

Unit conversion is essential in kinetics to ensure consistency in calculations. Concentration values often need to be converted (for example, from millimolar to molar) to match the units of the rate constant, so that the reaction rate is accurately determined.

Please give Ace some feedback