Is Heat Capacity Derivable for Non-Ideal Liquid Mixtures?

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SUMMARY

The heat capacity of a non-ideal liquid mixture cannot be accurately derived as a simple sum of the mass shares multiplied by the heat capacities of the individual components. This is due to the presence of interaction parameters that must be considered, particularly when one of the liquids acts as a cosolvent for otherwise immiscible liquids. The recommended approach is to measure the heat capacity experimentally using a calorimetric bomb, as the ideal mixing rule is only applicable to ideal mixtures. Tools such as Aspen Properties can assist in evaluating component properties.

PREREQUISITES
  • Understanding of heat capacity and its measurement techniques
  • Familiarity with calorimetric methods, specifically calorimetric bomb usage
  • Knowledge of liquid mixture behavior and interaction parameters
  • Experience with software tools like Aspen Properties for property evaluation
NEXT STEPS
  • Research the principles of calorimetry and how to conduct experiments using a calorimetric bomb
  • Learn about the role of cosolvents in liquid mixtures and their effects on phase behavior
  • Explore the limitations of the ideal mixing rule in non-ideal mixtures
  • Investigate the use of Aspen Properties for analyzing liquid mixture properties
USEFUL FOR

Chemical engineers, physical chemists, and researchers involved in the study of liquid mixtures and heat capacity measurements will benefit from this discussion.

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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