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Mixtures of Acids03:27

Mixtures of Acids

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The pH of a solution containing an acid can be determined using its acid dissociation constant and its initial concentration. If a solution contains two different acids, then its pH can be determined using one of several methods depending upon the relative strength of the acids and their dissociation constants.
A Mixture of a Strong Acid and a Weak Acid
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Mixtures of Acids01:19

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The pH of a solution containing an acid can be determined using its acid dissociation constant and initial concentration. If a solution contains two different acids, then its pH can be determined using one of several methods depending on the relative strength of the acids and their dissociation constants.
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Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
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Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
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The coefficient of variation measures the dispersion of the data points or distribution around the mean. Using the coefficient of variation, we can compare two data series with drastically different means or different units of measurement. The coefficient of variation for a sample and a population is expressed as a percentage of the ratio of standard deviation to the mean.
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The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the linear association between the independent variable x and the dependent variable y.
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Do ternary liquid mixtures exhibit negative main Fick diffusion coefficients?

S Kozlova1, A Mialdun, I Ryzhkov

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Diffusion coefficients in ternary mixtures strongly depend on the chosen reference frame (volume, mass, or mole). This study reveals significant similarities between volume and mass frames, with deviations in the mole frame for non-ideal mixtures.

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Area of Science:

  • Physical Chemistry
  • Thermodynamics
  • Transport Phenomena

Background:

  • Fick diffusion coefficients are crucial for understanding mass transport in mixtures.
  • The choice of reference frame (volume, mass, or mole) significantly impacts reported diffusion coefficient values.
  • Limited experimental data exists for diffusion in complex, multi-component systems.

Purpose of the Study:

  • To thoroughly analyze the dependence of Fick diffusion coefficients on the reference frame for various ternary mixtures.
  • To transform experimental diffusion data from the volume reference frame to molar and mass reference frames.
  • To investigate the influence of mixture non-ideality and excess volume on diffusion coefficients.

Main Methods:

  • Experimental density measurements to determine partial molar volumes.
  • Transformation of experimental diffusion coefficient data between volume, mass, and molar reference frames.
  • Analysis of ternary mixtures with varying degrees of ideality and associating behavior.

Main Results:

  • A strong similarity was observed between main diffusion coefficients in the volume and mass reference frames across all studied mixtures.
  • Diffusion coefficients in the molar reference frame showed similarity only for mixtures with small excess volumes.
  • Significantly differing coefficients, including negative values, were found in the molar frame for a water-containing mixture with large excess volume.

Conclusions:

  • The choice of reference frame is critical for interpreting diffusion data in multi-component mixtures.
  • Frame transformations highlight the impact of excess volume and experimental uncertainties on diffusion coefficients.
  • Negative main diffusion coefficients can arise from amplified experimental errors in cross-diffusion terms during frame transformation.