A mixture containing 65.0 mole % acetone (A) and the balance acetic acid (AA) is separated in a continuous distillation column at 1 atm.**Diagram Explanation:**- The diagram represents a distillation column with labeled streams.- **Feed (Stream 1):** Enters the column.- **Top of the Column:** - Acetone-rich vapor exits, passing through a **condenser.** - Condensed liquid splits into two streams: **distillate (Stream 4)** and **reflux (Stream 3)**.- **Bottom of the Column:** - Partially vaporized liquid from the **reboiler.** - **Bottoms product (Stream 5)** is withdrawn. - Vapor returns as boilup (Stream 6).**Stream Conditions:**| Stream No. | Stream State ||------------|---------------------------------|| 1 | Liquid, 67.5°C, 65 mole% A, 35% AA || 2 | Vapor, 63.0°C, 98 mole% A, 2% AA || 3 | Liquid, 56.8°C, 98 mole% A, 2% AA || 4 | Liquid, 56.8°C, 98 mole% A, 2% AA || 5 | Liquid, 98.7°C, 15.5 mole% A, 84.5% AA || 6 | Vapor, 98.7°C, 54.4 mole% A, 45.6% AA |**Thermodynamic Data:**| T°C | Acetone | Acetic Acid ||-----|-----------------------|----------------------|| | \( H_l \) | \( H_v \) | \( H_l \) | \( H_v \) || 56.8| 0 | 7205 | 0 | 5723 || 63.0| 205 | 7322 | 194 | 6807 || 67.5| 354 | 7403 | 335 | 6884 || 98.7| 1385 | 7946 | 1312 | 7420

Distilate =D moles Bottom = B moles Apply overall material balance : F=D+B 100 mole = D+B…

A mixture containing 65.0 mole % acetone (A) and the balance acetic acid (AA) is separated in a continuous distillation column at 1 atm. Condenser Top Product 3 Feed 1 6 Bottom Product Reboiler The stream from the top of the column is a vapor that passes though a condenser. The condensed liquid is divided into two equal streams: one is taken off as the overhead product (distillate) and the other (the reflux) is returned to the column. The stream from the bottom of the column is a liquid that is partially vaporized in a reboiler. The liquid stream emerging from the reboiler is taken off as the bottoms product, and the vapor is returned to the column as boilup. Negligible heat is lost from the column, so that the only places in the system where external heat transfer takes place are the condenser and the reboiler. The conditions of the stream are as follows: Stream No. Stream State Liquid, 67.5°C, 65 mole% A, 35% AA Vapor, 63.0°C, 98 mole% A, 2% AA Liquid, 56.8°C, 98 mole% A, 2% AA Liquid, 56.8°C, 98 mole% A, 2% AA Liquid, 98.7°C, 15.5 mole% A, 84.5% AA Vapor, 98.7°C, 54.4 mole% A, 45.6% AA 2 3 4 For this system, the following thermodynamic data is available (the units of the specific enthalpy are cal/mole): Acetone Acetic Acid T°C H1 Hv 56.8 7205 5723 63.0 205 7322 194 6807 67.5 354 7403 335 6884 98.7 1385 7946 1312 7420 (a) Taking 100 mol of feed as a basis, calculate the net heat requirement (cal) for the process. (You may neglect heats of mixing, although doing so for dissimilar liquids like acetone and acetic acid may introduce some error.) (b) For the same basis, calculate the required heat input to the reboiler and the required heat removal from the condenser. (c) Suppose that instead of the condensed liquid from the top of column being split into two equal streams to form the reflux and the overhead product, it is split into two streams, with the reflux being 3 times the overhead product. As before, take a basis of 100 mol of feed and determine the net heating requirements (cal) for the process and the heat removed in the condenser and added in the reboiler.

A mixture containing 65.0 mole % acetone (A) and the balance acetic acid (AA) is separated in a continuous distillation column at 1 atm. Condenser Top Product 3 Feed 1 6 Bottom Product Reboiler The stream from the top of the column is a vapor that passes though a condenser. The condensed liquid is divided into two equal streams: one is taken off as the overhead product (distillate) and the other (the reflux) is returned to the column. The stream from the bottom of the column is a liquid that is partially vaporized in a reboiler. The liquid stream emerging from the reboiler is taken off as the bottoms product, and the vapor is returned to the column as boilup. Negligible heat is lost from the column, so that the only places in the system where external heat transfer takes place are the condenser and the reboiler. The conditions of the stream are as follows: Stream No. Stream State Liquid, 67.5°C, 65 mole% A, 35% AA Vapor, 63.0°C, 98 mole% A, 2% AA Liquid, 56.8°C, 98 mole% A, 2% AA Liquid, 56.8°C, 98 mole% A, 2% AA Liquid, 98.7°C, 15.5 mole% A, 84.5% AA Vapor, 98.7°C, 54.4 mole% A, 45.6% AA 2 3 4 For this system, the following thermodynamic data is available (the units of the specific enthalpy are cal/mole): Acetone Acetic Acid T°C H1 Hv 56.8 7205 5723 63.0 205 7322 194 6807 67.5 354 7403 335 6884 98.7 1385 7946 1312 7420 (a) Taking 100 mol of feed as a basis, calculate the net heat requirement (cal) for the process. (You may neglect heats of mixing, although doing so for dissimilar liquids like acetone and acetic acid may introduce some error.) (b) For the same basis, calculate the required heat input to the reboiler and the required heat removal from the condenser. (c) Suppose that instead of the condensed liquid from the top of column being split into two equal streams to form the reflux and the overhead product, it is split into two streams, with the reflux being 3 times the overhead product. As before, take a basis of 100 mol of feed and determine the net heating requirements (cal) for the process and the heat removed in the condenser and added in the reboiler.

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

Section: Chapter Questions

Problem 1.1P

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Question

A mixture containing 65.0 mole % acetone (A) and the balance acetic acid (AA) is separated in a continuous distillation column at 1 atm.

**Diagram Explanation:**
- The diagram represents a distillation column with labeled streams.
- **Feed (Stream 1):** Enters the column.
- **Top of the Column:**
- Acetone-rich vapor exits, passing through a **condenser.**
- Condensed liquid splits into two streams: **distillate (Stream 4)** and **reflux (Stream 3)**.
- **Bottom of the Column:**
- Partially vaporized liquid from the **reboiler.**
- **Bottoms product (Stream 5)** is withdrawn.
- Vapor returns as boilup (Stream 6).

**Stream Conditions:**

| Stream No. | Stream State |
|------------|---------------------------------|
| 1 | Liquid, 67.5°C, 65 mole% A, 35% AA |
| 2 | Vapor, 63.0°C, 98 mole% A, 2% AA |
| 3 | Liquid, 56.8°C, 98 mole% A, 2% AA |
| 4 | Liquid, 56.8°C, 98 mole% A, 2% AA |
| 5 | Liquid, 98.7°C, 15.5 mole% A, 84.5% AA |
| 6 | Vapor, 98.7°C, 54.4 mole% A, 45.6% AA |

**Thermodynamic Data:**

| T°C | Acetone | Acetic Acid |
|-----|-----------------------|----------------------|
| | \( H_l \) | \( H_v \) | \( H_l \) | \( H_v \) |
| 56.8| 0 | 7205 | 0 | 5723 |
| 63.0| 205 | 7322 | 194 | 6807 |
| 67.5| 354 | 7403 | 335 | 6884 |
| 98.7| 1385 | 7946 | 1312 | 7420

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