[PDF] CHC 2050 (Chemical Engineering Thermodynamics) 3. Raoults law





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Dew point and bubble point calculations with Raoult's law: For species whose critical T is less than the application temperature this is.



CHC 2050 (Chemical Engineering Thermodynamics) 3. Raoults law

Now we present an example of a typical phase diagrams that obtain from the application of the. Raoult's law (RL) equations. (Bubble point and dew point).

1 Unit 3: CHC 2050 (Chemical Engineering Thermodynamics) 3. The vapor-liquid systems, which are ideal show a behavio In such a system, both the vapor and the liquid phases essentially behave as ideal mixtures. For describing the VLE for such systems, we can write, Chemical potential of liquid = Chemical potential of vapor

For an ideal vapor mixture, we can write,

Similarly, For an ideal liquid mixture, we can write,

Thus, using equation [A], we can write,

Since the effect of pressure is negligible on the liquid properties, we assume that,

For the gas phase, we can write,

[A] [B] [C] [D] 2 It may be noted that the conditions for ideal mixture behavior for the gas and liquid phases are not the same in general. For the gas mixture to be ideal, the pressures need to be close to atmospheric or less while a liquid solution is ideal if the interaction between the same molecular species is identical to that between dissimilar molecules. Now, we present an example of a typical phase diagrams that obtain from the application of the . (Bubble point and dew point) Consider a binary system for which a representative isothermal plot is depicted below figure (The more volatile of the two componen represents the saturated liquid compositions, while the lower curve corresponds to the saturated vapour compositions. At any pressure, the phase compositions are found at the intersections of a line parallel to the x-y axis with the P-x and P-y curves. The straight line connecting these compositions is the tie line (such as A1-B1, A2-B2, etc.). The portion of the diagram enclosed by the P-x-y curves corresponds to the two-phase region where the vapour and liquid phases co- exist. Any point lying outside of this two-phase envelope corresponds to a state where only a condition, the mixture exists as a compressed (or sub-cooled) state whose composition corresponds to x1*. Lowering the pressure at this fixed composition eventually brings the liquid mixture to the point A3, where any further reduction of pressure leads to the formation of a vapour phase whose composition is given by B3. Thus, this point is characterized by the formation of the first bubble of vapour, and hence is termed the bubble point, the corresponding pressure being the bubble pressure, at the given composition.

Model P-x-

Next, consider the point V in the above diagram. At this state the mixture is at the same overall composition as at L, but the state is one of single-phase, superheated vapour. Increasing the pressure at the same composition eventually brings the mixture to the point B1, where any further increase of pressure leads to the formation of the liquid phase, whose composition is given by the

point y1*. Thus, this point is said to be the dew point corresponding to the vapour phase composition

given by while the pressure at this point is termed the dew pressure. L V 3

4. Dew point and Bubble point calculations with Raoultlaw

If we focus on the application of Raoults law, we can write, Equation 2 finds application in bubble point calculations, where the vapor-phase composition is unknown, for a binary system with x2 = 1 x1, The equation 4 is applied in dew point calculation, where liquid-phase compositions are unknown.

5. P-x-y and T-x-y diagrams (Practice problem)

4 4

Solution:

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