How can we draw the phase envelope inside the ternary system

[Thermo]

Homework Statement

I need to determine the minimum solvent and number of stages in an extraction process. What I need to do first is drawing the phase envelope (miscibility gap curve) inside the ternary system triangle diagram. I am given the equilibrium values of A,B and S (solvent) in both raffinate and extract phases.

Homework Equations

The Attempt at a Solution

All examples I have the triangle is given with the curve inside in the first place. So I couldn't figure out how to draw it but I know I need it first I guess. I tried to draw it with raffinate and extract graph next to it but failed to do that.

 

[KataKoniK]

Hi there,

To determine the minimum solvent and number of stages in an extraction process, you will first need to understand the ternary system triangle diagram and the phase envelope (miscibility gap curve) within it. The phase envelope represents the range of compositions where the three components (A, B, and S) are immiscible, meaning they cannot form a single phase.

To draw the phase envelope, you will need to plot the equilibrium values of A, B, and S in both the raffinate and extract phases. This will give you a range of points within the triangle diagram that represent the immiscible compositions. Connect these points to create the phase envelope.

Next, you will need to determine the minimum solvent required for extraction. This can be done by calculating the tie lines, which are lines connecting the equilibrium points of the raffinate and extract phases. The minimum solvent will be the point where the tie line intersects the phase envelope.

The number of stages required for extraction can be determined by plotting the equilibrium values of A, B, and S for each stage on the triangle diagram. The number of stages needed will depend on the desired purity of the extracted component and the efficiency of the extraction process.

I hope this helps guide you in determining the minimum solvent and number of stages for your extraction process. Let me know if you have any further questions. Good luck!