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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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Solubility03:00

Solubility

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Solution, Solubility, and Solubility Equilibrium
A solution is a homogeneous mixture composed of a solvent, the major component, and a solute, the minor component. The physical state of a solution—solid, liquid, or gas—is typically the same as that of the solvent. Solute concentrations are often described with qualitative terms such as dilute (of relatively low concentration) and concentrated (of relatively high concentration).
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Solubility Equilibria03:07

Solubility Equilibria

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Solubility equilibria are established when the dissolution and precipitation of a solute species occur at equal rates. These equilibria underlie many natural and technological processes, ranging from tooth decay to water purification. An understanding of the factors affecting compound solubility is, therefore, essential to the effective management of these processes. This section applies previously introduced equilibrium concepts and tools to systems involving dissolution and precipitation.
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Entropy and Solvation02:05

Entropy and Solvation

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The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...
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Uncertainty: Overview00:59

Uncertainty: Overview

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In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
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Solubility Equilibria: Overview01:09

Solubility Equilibria: Overview

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When a substance such as sodium chloride is added to water, it dissolves, forming an aqueous solution. The extent of dissolution is called solubility. The process of dissolution can exist in equilibrium, just like other chemical processes. Solubility equilibria are also called precipitation equilibria because the process of solubility can be reversible. The reverse of the solubility process is called precipitation.
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Quantifying Uncertainties in Solvation Procedures for Modeling Aqueous Phase Reaction Mechanisms.

Alex M Maldonado1, Satoshi Hagiwara2, Tae Hoon Choi1

  • 1Department of Chemical and Petroleum Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15261, United States.

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Computational quantum chemistry models for renewable energy catalysis face challenges with solvent effects. This study evaluates various solvent models for a CO2 reduction reaction, finding explicit solvent shells and hybrid functionals reduce errors in charge-separated states.

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Area of Science:

  • Computational quantum chemistry
  • Renewable energy catalysis
  • Solvation models

Background:

  • Accurate modeling of solvated reaction mechanisms is crucial for renewable energy catalysis.
  • Explicit solvent interactions and counterions significantly impact reaction pathways but are computationally expensive.
  • The performance of continuum solvent models for reaction mechanisms remains less understood.

Purpose of the Study:

  • To evaluate the performance of different solvent models in aqueous phase charge migrations relevant to renewable energy catalysis.
  • To assess the impact of explicit solvent shells and counterions on reaction energy profiles.
  • To identify and mitigate errors in modeling charge-separated states.

Main Methods:

  • Quantum mechanics/molecular mechanics (QM/MM) molecular dynamics simulations.
  • Evaluation of various continuum solvent models: PCM, CANDLE, COSMO-RS, ESM-RISM.
  • Analysis of static calculations with and without explicit solvent shells and counterions.
  • Utilized hybrid functionals to address self-interaction errors.

Main Results:

  • QM/MM simulations closely matched QM energy profiles for the CO2 reduction by NaBH4 reaction.
  • The Na+ counterion had a negligible effect on ensemble-averaged reaction pathways.
  • Static calculations with continuum solvent models showed significant variability, dependent on explicit solvent and counterion inclusion.
  • Self-interaction errors in gas-phase descriptions of charge-separated states were identified as a key source of variability.
  • Employing hybrid functionals and explicit solvent shells reduced these errors.

Conclusions:

  • Explicit solvent shells and advanced hybrid functionals are recommended for accurately modeling charge-separated states in solvation studies.
  • Careful consideration of solvation models is essential for reliable computational predictions in renewable energy catalysis.
  • The study provides guidance for future computational efforts in this field.