Difference between revisions of "Thermodynamics"

From AutoMeKin
Jump to navigation Jump to search
(Phase diagram of an ideal solution at fixed temperature)
(Phase diagram of an ideal solution at fixed temperature)
Line 4: Line 4:
 
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 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>:
+
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>
 
<center>
Line 10: Line 10:
 
</center>
 
</center>
  
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>:
+
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