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Related Concept Videos

Chemical Reactions02:26

Chemical Reactions

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A balanced chemical equation provides the information of chemical formulas of the reactants and products involved in the chemical change. A reaction’s stoichiometry helps predict how much of the reactant is needed to produce the desired amount of product, or in some cases, how much product will be formed from a specific amount of the reactant.
The relative amounts of reactants and products represented in a balanced chemical equation are often referred to as stoichiometric amounts. However, in...
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A chemical reaction is a process by which the bonds in the atoms of substances are rearranged to generate new substances. Matter cannot be created or destroyed in a chemical reaction—the same type and number of atoms that make up the reactants are still present in the products. Merely, the rearrangement of chemical bonds produces new compounds.
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Consider the oxidation of sulfur dioxide:
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The Integrated Rate Law: The Dependence of Concentration on Time02:39

The Integrated Rate Law: The Dependence of Concentration on Time

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While the differential rate law relates the rate and concentrations of reactants, a second form of rate law called the integrated rate law relates concentrations of reactants and time. Integrated rate laws can be used to determine the amount of reactant or product present after a period of time or to estimate the time required for a reaction to proceed to a certain extent. For example, an integrated rate law helps determine the length of time a radioactive material must be stored for its...
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Homogeneous Equilibria for Gaseous Reactions02:15

Homogeneous Equilibria for Gaseous Reactions

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Homogeneous Equilibria for Gaseous Reactions
For gas-phase reactions, the equilibrium constant may be expressed in terms of either the molar concentrations (Kc) or partial pressures (Kp) of the reactants and products. A relation between these two K values may be simply derived from the ideal gas equation and the definition of molarity. According to the ideal gas equation:
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Multi-Step Reactions02:31

Multi-Step Reactions

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Chemical reactions often occur in a stepwise fashion involving two or more distinct reactions taking place in a sequence. A balanced equation indicates the reacting species and the product species, but it reveals no details about how the reaction occurs at the molecular level. The reaction mechanism (or reaction path) provides details regarding the precise, step-by-step process by which a reaction occurs. Each of the steps in a reaction mechanism is called an elementary reaction. These...
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New Invariant Expressions in Chemical Kinetics.

Gregory S Yablonsky1, Daniel Branco2, Guy B Marin3

  • 1McKelvey School of Engineering, Department of Energy, Environmental and Chemical Engineering, Washington University in St. Louis, 1 Brookings Dr., St. Louis, MO 63130, USA.

Entropy (Basel, Switzerland)
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Summary

This study reveals novel thermodynamic and mixed invariants in chemical kinetics, derived from theoretical models and experimental data. These findings offer new ways to analyze reaction pathways and equilibrium constants.

Keywords:
conservatively perturbed equilibriuminvariant expressionlinear complex mechanismscaled incremental conversionthermodynamic invarianttwo-step mechanism

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Area of Science:

  • Chemical Kinetics
  • Physical Chemistry
  • Thermodynamics

Background:

  • Classical mass-action law models are foundational in chemical kinetics.
  • Traditional invariances in chemical kinetics often rely on single experiments.
  • Understanding reaction dynamics and equilibrium is crucial in chemistry.

Purpose of the Study:

  • To present original theoretical and experimental results on chemical kinetics over the last decade.
  • To introduce and detail two novel types of invariances in kinetic experiments.
  • To demonstrate how these invariances relate to equilibrium constants and kinetic coefficients.

Main Methods:

  • Theoretical derivation using classical mass-action law models.
  • Experimental justification of theoretical findings.
  • Analysis of a special battery of kinetic experiments, not just a single one.

Main Results:

  • Identification of thermodynamic invariants, which are combinations of kinetic dependences yielding equilibrium constants.
  • Discovery of "mixed" kinetico-thermodynamic invariances, involving both equilibrium constants and non-thermodynamic ratios of kinetic coefficients.
  • Demonstration that these invariances are derived from a set of experiments.

Conclusions:

  • The identified invariants provide new analytical tools for chemical kinetics.
  • These findings extend the understanding of invariances beyond traditional single-experiment approaches.
  • The results bridge theoretical models of chemical kinetics with experimental validation.