V1 Vapor 90 90 bpB 80 80 L2 70 70 V3 Liquid L3 60 60 50 L5 V5 L4 50 100% A 80 60 40 20 0% 0% 20 40 60 80 100% B Figure 15.3 Phase diagram for a fractional distillation of an ideal two-component system. Temperature (°C)

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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**Problem Statement:**

2. Estimate how many theoretical plates are needed to separate a mixture that has a mole fraction of B equal to 0.70 (70% B) in Figure 15.3. 

(Note: For a detailed analysis, please refer to Figure 15.3, which illustrates the relationship between mole fractions and the required number of theoretical plates for separation.)
Transcribed Image Text:**Problem Statement:** 2. Estimate how many theoretical plates are needed to separate a mixture that has a mole fraction of B equal to 0.70 (70% B) in Figure 15.3. (Note: For a detailed analysis, please refer to Figure 15.3, which illustrates the relationship between mole fractions and the required number of theoretical plates for separation.)
**Title: Phase Diagram for Fractional Distillation of an Ideal Two-Component System**

**Description:**

*The diagram illustrates the phase behavior of a two-component system during fractional distillation. It is presented as a temperature-composition phase diagram with the following details:*

- **Axes:**
  - The vertical axis represents Temperature (°C), ranging from 50°C to 90°C.
  - The horizontal axis represents the composition, labeled as 100% A to 0% B on one side, and conversely, 0% A to 100% B on the other side.

- **Curves:**
  - Two curves are depicted: an upper curve labeled "Vapor" and a lower curve labeled "Liquid." These curves enclose a lens-shaped area indicating the phase transition region.
  
- **Lines and Points:**
  - Several horizontal tie lines connect corresponding points on the vapor and liquid curves. These lines represent equilibrium between the two phases at different compositions.
  - The points are marked as V1, V2, V3, V4, V5 on the vapor curve, and L1, L2, L3, L4, L5 on the liquid curve. These denote specific vapor (V) and liquid (L) phase compositions at equilibrium.

- **Boiling Points:**
  - The right vertical line marks the boiling point of component B (bpB) at 90°C.

**Figure Annotation:**

**Figure 15.3** - Phase diagram for a fractional distillation of an ideal two-component system.

*This diagram is useful for understanding how fractional distillation separates components based on volatility differences, as represented by temperature and composition changes.*
Transcribed Image Text:**Title: Phase Diagram for Fractional Distillation of an Ideal Two-Component System** **Description:** *The diagram illustrates the phase behavior of a two-component system during fractional distillation. It is presented as a temperature-composition phase diagram with the following details:* - **Axes:** - The vertical axis represents Temperature (°C), ranging from 50°C to 90°C. - The horizontal axis represents the composition, labeled as 100% A to 0% B on one side, and conversely, 0% A to 100% B on the other side. - **Curves:** - Two curves are depicted: an upper curve labeled "Vapor" and a lower curve labeled "Liquid." These curves enclose a lens-shaped area indicating the phase transition region. - **Lines and Points:** - Several horizontal tie lines connect corresponding points on the vapor and liquid curves. These lines represent equilibrium between the two phases at different compositions. - The points are marked as V1, V2, V3, V4, V5 on the vapor curve, and L1, L2, L3, L4, L5 on the liquid curve. These denote specific vapor (V) and liquid (L) phase compositions at equilibrium. - **Boiling Points:** - The right vertical line marks the boiling point of component B (bpB) at 90°C. **Figure Annotation:** **Figure 15.3** - Phase diagram for a fractional distillation of an ideal two-component system. *This diagram is useful for understanding how fractional distillation separates components based on volatility differences, as represented by temperature and composition changes.*
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