Difference between revisions of "Thermodynamics"

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(Phase diagram of an ideal solution at fixed temperature)
 
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===Two-component vapor-liquid equilibrium===
 
 
 
==Phase diagram of an ideal solution at fixed temperature==
 
==Phase diagram of an ideal solution at fixed temperature==
 
The following plot shows the vapor-liquid phase diagram for a binary ideal mixture (components: A and B). The vapor pressures of the pure substances are <math>p_A^*</math> and <math>p_B^*</math>, respectively.  
 
The following plot shows the vapor-liquid phase diagram for a binary ideal mixture (components: A and B). The vapor pressures of the pure substances are <math>p_A^*</math> and <math>p_B^*</math>, respectively.  
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The number of moles in each phase (liquid or vapor) can be obtained from the lever rule:
 
The number of moles in each phase (liquid or vapor) can be obtained from the lever rule:
 
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<math>n^lBK=n^vKR}</math>
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<math>n^l\overline{\text{BK}}=n^v\overline{\text{KR}}</math>
 
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Latest revision as of 09:22, 29 May 2023

Phase diagram of an ideal solution at fixed temperature

The following plot shows the vapor-liquid phase diagram for a binary ideal mixture (components: A and B). The vapor pressures of the pure substances are [math]p_A^*[/math] and [math]p_B^*[/math], respectively.

The blue curve shows the vapor pressure [math]p[/math] of the mixture as a function of the mole fraction of A in the liquid [math]x_A^l[/math]:

[math]p=p_B^*+(p_A^*-p_B^*)x_A^l[/math]

The red curve shows the vapor pressure [math]p[/math] of the mixture as a function of the mole fraction of A in the vapor [math]x_A^v[/math]:

[math]p=\dfrac{p_A^*p_B^*}{p_A^*-(p_A^*-p_B^*)x_A^v}[/math]

In the example below [math]p_A^*=1[/math] (a.u.) and the value of [math]p_B^*[/math] can be changed moving the slider below.


slider.py example


The number of moles in each phase (liquid or vapor) can be obtained from the lever rule:

[math]n^l\overline{\text{BK}}=n^v\overline{\text{KR}}[/math]


slider.py example







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