Is Heat Capacity Derivable for Non-Ideal Liquid Mixtures?

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Discussion Overview

The discussion revolves around the derivation of heat capacity for a non-ideal liquid mixture consisting of three liquids, with a focus on the assumptions and implications of using mixing rules for calculating heat capacity in such systems.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Experimental/applied

Main Points Raised

  • One participant questions whether heat capacity can be derived as a sum of mass shares multiplied by the heat capacities of the individual components, assuming all components are miscible.
  • Another participant acknowledges the possibility of this approach but notes that it relies on the assumption that interaction parameters between the components can be ignored.
  • A different participant challenges the validity of the initial approach, suggesting that the presence of a cosolvent and the interactions between the other two liquids complicate the scenario.
  • There is a suggestion that measuring the heat capacity of the mixture using a calorimetric bomb may be more advisable than attempting to derive it theoretically.
  • One participant emphasizes that the ideal mixing rule is only applicable to ideal mixtures, indicating that the current mixture is non-ideal due to the immiscibility of two components and the potential presence of a fourth component due to chemical reactions.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of theoretical derivation for heat capacity in this non-ideal mixture, with no consensus reached on the best approach to take.

Contextual Notes

Limitations include the assumption of ideal mixing rules, the complexity introduced by the cosolvent, and the potential presence of additional components due to reactions, which may affect the validity of theoretical calculations.

Who May Find This Useful

This discussion may be of interest to researchers and practitioners working with liquid mixtures in chemistry and engineering, particularly those dealing with non-ideal systems and heat capacity measurements.

Gvozden
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Can I derive heat capacity of one phase mixture of three liquids as a sum of their mass shares multiplied by heat capacities of solitary components at given temperature? All components are miscible, of course ... thank you in advance
 
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Hello Gvozden, ##\qquad## :welcome: ##\qquad## !

You certainly can -- no one will stop you :smile:

In doing so, you make the assumption that the interaction parameters between the three compounds can be ignored. As a mixing rule, that is often good enough...
 
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BvU, i could multiply the sum with Planck's constant, and still no one would stop me, wouldn't it? But it would make the result false. :smile:

As a matter of fact, third liquid serves as a cosolvent for two, otherwise non miscible liquids, changing two phase system into a single phase. Cosolvent does not participate in any kind of reaction, but there is a reaction between the other two liquids, thus only agitated by several types of intensification (microwave, ultrasound, laser, cavitation, conventional heating...)

Due to your response and advise, am I right to think that it is not advisable to calculate heat capacity like I asked to, and to measure heat capacity of the mixture by calorimetric bomb?
 
Ah, we are quickly exceeding my (nevertheless non-negligible) pay grade and have to call in some experts. @Chestermiller , for example.

Best advice I can give before starting bombing would be to consult a properties program like Aspen Properties (at least, if your components can be found there). Or dig around in the literature...
 
You can use the ideal mixing rule only for an ideal mixture. This is not an ideal mixture, as evidenced by the immiscibility of two of the components. So you are stuck measuring the heat capacity of the mixture experimentally. It sounds like if there is a chemical reaction, there is also going to be a 4th component present?
 
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