Difference between revisions of "Thermodynamics"

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(Vapor-liquid equilibrium diagram of an ideal mixture)
(Vapor-liquid equilibrium diagram of an ideal mixture)
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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.  
  
The red 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>:
+
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>:
  
 
<math>p=p_B^*+(p_A^*-p_B^*)x_A^l</math>
 
<math>p=p_B^*+(p_A^*-p_B^*)x_A^l</math>
  
The black 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>:
+
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>:
  
 
<math>p=p_A^*p_B^*/(p_A^*-(p_A^*-p_B^*)x_A^v)</math>
 
<math>p=p_A^*p_B^*/(p_A^*-(p_A^*-p_B^*)x_A^v)</math>

Revision as of 17:59, 21 April 2019

Vapor-liquid equilibrium diagram of an ideal mixture

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

[math]p=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