2. Consider a mixture of ethane, isobutane, n-pentane, and n-hexane at 150 psia with the following composition: Compound I¡ 0.05 (b) ( C₂H6 i-C₂H10 0.02 n-C5H12 0.01 Find the bubble point temperature (°F) of this mixture. What is the composition of the first bubble?

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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### Example Problem: Mixture of Hydrocarbons

#### Problem Statement

Consider a mixture of ethane, isobutane, n-pentane, and n-hexane at 150 psia with the following composition:

| Compound  | Composition (x₁) |
|-----------|-------------------|
| C₂H₆      | 0.05              |
| i-C₄H₁₀   | 0.02              |
| n-C₅H₁₂   | 0.01              |

(a) **Find the bubble point temperature (°F) of this mixture.**

(b) **What is the composition of the first bubble?**

---

#### Explanation:

To solve this problem, you will need to:

1. **Determine the Bubble Point Temperature**: The bubble point temperature is the temperature at which the first bubble of vapor forms in the liquid mixture at a given pressure (150 psia in this case). This can be calculated using phase equilibrium principles and the known compositions.

2. **Determine the Composition of the First Bubble**: Once the bubble point temperature is known, the composition of the first bubble of vapor can be determined. This involves using Raoult's Law or other relevant equations to find the vapor-phase compositions.

This kind of problem is typical in chemical engineering thermodynamics and requires an understanding of phase diagrams, Raoult's Law, and equilibrium calculations.

#### Additional Notes:

- **C₂H₆**: Ethane
- **i-C₄H₁₀**: Isobutane
- **n-C₅H₁₂**: n-Pentane
- **n-C₆H₁₂**: n-Hexane

For detailed steps on solving these problems, refer to sections on phase equilibria and thermodynamic properties of mixtures in your textbook or course materials.
Transcribed Image Text:### Example Problem: Mixture of Hydrocarbons #### Problem Statement Consider a mixture of ethane, isobutane, n-pentane, and n-hexane at 150 psia with the following composition: | Compound | Composition (x₁) | |-----------|-------------------| | C₂H₆ | 0.05 | | i-C₄H₁₀ | 0.02 | | n-C₅H₁₂ | 0.01 | (a) **Find the bubble point temperature (°F) of this mixture.** (b) **What is the composition of the first bubble?** --- #### Explanation: To solve this problem, you will need to: 1. **Determine the Bubble Point Temperature**: The bubble point temperature is the temperature at which the first bubble of vapor forms in the liquid mixture at a given pressure (150 psia in this case). This can be calculated using phase equilibrium principles and the known compositions. 2. **Determine the Composition of the First Bubble**: Once the bubble point temperature is known, the composition of the first bubble of vapor can be determined. This involves using Raoult's Law or other relevant equations to find the vapor-phase compositions. This kind of problem is typical in chemical engineering thermodynamics and requires an understanding of phase diagrams, Raoult's Law, and equilibrium calculations. #### Additional Notes: - **C₂H₆**: Ethane - **i-C₄H₁₀**: Isobutane - **n-C₅H₁₂**: n-Pentane - **n-C₆H₁₂**: n-Hexane For detailed steps on solving these problems, refer to sections on phase equilibria and thermodynamic properties of mixtures in your textbook or course materials.
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