Respuesta :
Answer : The DePriester K-value for the species in the mixture is, 0.4
Explanation :
According to the Dalton's Law, the partial pressure exerted by component 'i' in a gas mixture is equal to the product of the mole fraction of the component and the total pressure.
[tex]p_i=X_i\times p[/tex] ........(1)
According to the Raoult's law, the partial pressure exerted in gas phase by a component is equal to the product of the vapor pressure of that component and its mole fraction for an ideal liquid solution.
[tex]p_i=Y_i\times p_v[/tex] ........(2)
When the gas and the liquid are in equilibrium then these partial pressures must be the same.
[tex]X_i\times p=Y_i\times p_v[/tex]
or,
[tex]\frac{X_i}{Y_i}=\frac{p_v}{p}[/tex]
This ration is called as equilibrium ratio [tex]K_i[/tex] of the i-th component.
[tex]K_i=\frac{X_i}{Y_i}=\frac{p_v}{p}[/tex] .......(3)
As we are given that,
Total pressure = [tex]p=50psia[/tex]
The vapor pressure = [tex]p_v=20psia[/tex]
According to the relation (3), we get
[tex]K_i=\frac{X_i}{Y_i}=\frac{p_v}{p}=\frac{20}{50}=0.4[/tex]
Therefore, the DePriester K-value for the species in the mixture is, 0.4
