eter to Fig. 5.15. Suppose you have a mixture containing 20 wt% acetic acid, 60 wt% water and the remainder MIBK in a glass flask sitting on a lab bench. Should you see one phase or two? If two, what are the com- positions of the two phases? How does the Gibbs phase rule apply to this situation? Section 5.5 An Exhausting (but Not Exhaustive) Look at Phase Equilibrium 421 40 Plait point 35 Single liquid phase 30 Tie line 25 20 15 Two liquid phases 10 5 20 40 60 80 100 Wt% MIBK ater-rich phase Wt% acetic acid MIBK-rich phase (extract)

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### Section 5.5: An Exhausting (but Not Exhaustive) Look at Phase Equilibrium

**Refer to Fig. 5.15. Suppose you have a mixture containing 20 wt% acetic acid, 60 wt% water, and the remainder MIBK in a glass flask sitting on a lab bench. Should you see one phase or two? If two, what are the compositions of the two phases? How does the Gibbs phase rule apply to this situation?**

---

**Figure 5.15: MIBK-acetic acid-water liquid-liquid phase diagram at 25°C.**

This diagram illustrates the phase behavior of a ternary mixture consisting of MIBK (Methyl Isobutyl Ketone), acetic acid, and water at 25°C. The x-axis represents the weight percentage of MIBK, while the y-axis shows the weight percentage of acetic acid.

**Graph Details:**

- **Plait Point:** This is the point where the two liquid phases become indistinguishable from each other, appearing as a single phase.
- **Single Liquid Phase Region:** Above the curved boundary (shown as a line), the mixture exists as a single liquid phase.
- **Two Liquid Phases Region:** Below the curved boundary, the mixture separates into two distinct liquid phases—one MIBK-rich (extract) and the other water-rich.
- **Tie Line:** This line connects the compositions of the two coexisting liquid phases at equilibrium.

The diagram implies that at certain compositions, the mixture will separate into two immiscible liquid phases. To determine if a mixture of 20 wt% acetic acid, 60 wt% water, and the remainder MIBK forms one or two phases, locate the point corresponding to this composition on the diagram:

- If it falls within the single-phase region, it will appear as one phase.
- If it falls within the two-phase region, it will separate into two phases.

The compositions of the coexisting phases can be determined by drawing a tie line through the point and noting where it intersects the phase boundaries.

This phase behavior follows the Gibbs phase rule, which relates the number of phases (\(P\)), components (\(C\)), and degrees of freedom (\(F\)) in a system: \( F = C - P + 2 \).
Transcribed Image Text:### Section 5.5: An Exhausting (but Not Exhaustive) Look at Phase Equilibrium **Refer to Fig. 5.15. Suppose you have a mixture containing 20 wt% acetic acid, 60 wt% water, and the remainder MIBK in a glass flask sitting on a lab bench. Should you see one phase or two? If two, what are the compositions of the two phases? How does the Gibbs phase rule apply to this situation?** --- **Figure 5.15: MIBK-acetic acid-water liquid-liquid phase diagram at 25°C.** This diagram illustrates the phase behavior of a ternary mixture consisting of MIBK (Methyl Isobutyl Ketone), acetic acid, and water at 25°C. The x-axis represents the weight percentage of MIBK, while the y-axis shows the weight percentage of acetic acid. **Graph Details:** - **Plait Point:** This is the point where the two liquid phases become indistinguishable from each other, appearing as a single phase. - **Single Liquid Phase Region:** Above the curved boundary (shown as a line), the mixture exists as a single liquid phase. - **Two Liquid Phases Region:** Below the curved boundary, the mixture separates into two distinct liquid phases—one MIBK-rich (extract) and the other water-rich. - **Tie Line:** This line connects the compositions of the two coexisting liquid phases at equilibrium. The diagram implies that at certain compositions, the mixture will separate into two immiscible liquid phases. To determine if a mixture of 20 wt% acetic acid, 60 wt% water, and the remainder MIBK forms one or two phases, locate the point corresponding to this composition on the diagram: - If it falls within the single-phase region, it will appear as one phase. - If it falls within the two-phase region, it will separate into two phases. The compositions of the coexisting phases can be determined by drawing a tie line through the point and noting where it intersects the phase boundaries. This phase behavior follows the Gibbs phase rule, which relates the number of phases (\(P\)), components (\(C\)), and degrees of freedom (\(F\)) in a system: \( F = C - P + 2 \).
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