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Related Concept Videos

Chemical Equilibria: Systematic Approach to Equilibrium Calculations01:21

Chemical Equilibria: Systematic Approach to Equilibrium Calculations

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Equilibrium calculations for systems involving multiple equilibria are often complex. For example, to calculate the solubility of a sparingly soluble salt in an aqueous solution in the presence of a common ion, one must consider all the equilibria in this solution. Calculations for these systems can be complicated and tedious, so a systematic approach with a series of steps is often helpful. The process is detailed below.
The first step is to identify all the chemical reactions involved, The...
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The free energy change associated with dissolving a solute in a liter of solvent is called the free energy of a solution, ΔGsolution. The overall ΔGsolution is expressed as the balance of ΔGinteraction against the always-favorable free-energy of mixing, ΔGmixing. Solution formation is favorable if  ΔGsolution is less than zero, whereas it is unfavorable if ΔGsolution is greater than zero. In short, for a solution to form and complete dissolution to take place,...
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Being able to calculate equilibrium concentrations is essential to many areas of science and technology—for example, in the formulation and dosing of pharmaceutical products. After a drug is ingested or injected, it is typically involved in several chemical equilibria that affect its ultimate concentration in the body system of interest. Knowledge of the quantitative aspects of these equilibria is required to compute a dosage amount that will solicit the desired therapeutic effect.
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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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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.
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Geometric Analysis of a System with Chemical Interactions.

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Summary

This study introduces a framework for analyzing thermodynamic systems under restricted intensive parameters. We explore constant affinity states in chemical reactions and their stability conditions.

Keywords:
chemical reactionscontact geometryisoaffine manifoldsstability conditions

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Area of Science:

  • Thermodynamics
  • Chemical Systems Analysis

Background:

  • Thermodynamic systems analysis typically involves unrestricted intensive parameters.
  • Chemical reactions are fundamental to many thermodynamic processes.

Purpose of the Study:

  • To define a framework for analyzing thermodynamic systems with restricted intensive parameters.
  • To investigate constant affinity states in chemical reactions.
  • To extend existing stability conditions to these restricted systems.

Main Methods:

  • Developing a theoretical framework for thermodynamic analysis.
  • Identifying and analyzing isoffine submanifolds representing constant affinity states.
  • Applying and extending stability criteria.

Main Results:

  • Initial results demonstrate the feasibility of analyzing thermodynamic systems with restricted parameters.
  • Constant affinity states were identified as isoffine submanifolds in the thermodynamic phase space.
  • The study addresses the extension of stability conditions to these specific states.

Conclusions:

  • The proposed framework offers a novel approach to thermodynamic analysis under constraints.
  • Understanding constant affinity states is crucial for detailed chemical reaction analysis.
  • Further research is needed to fully establish stability conditions for these systems.