Difference between revisions of "Thermodynamics"

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(→‎Phase diagram of an ideal solution at fixed temperature)
(→‎Phase diagram of an ideal solution at fixed temperature)
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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 blue curve shows the vapor pressure of the mixture <math>p</math> as a function of the mole fraction of A in the liquid <math>x_A^l</math>:
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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>:
  
 
<center>
 
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</center>
 
</center>
  
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The red curve shows the vapor pressure of the mixture <math>p</math> as a function of the mole fraction of A in the vapor <math>x_A^v</math>:
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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>:
  
 
<center>
 
<center>

Revision as of 13:10, 22 April 2019

Two-component vapor-liquid equilibrium

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