Heptane-Ethyl Benzene System. A feed of 200 mol/hr containing 36 mole % heptane and 64 mole % ethyl benzene is to be fractionated at 101.325kPa (abs) in order to form a distillate containing 92 mole % heptane and a bottoms containing 8.0 mole % heptane. The reflux ratio used is 4.0:1. Equilibrium for system at 101.325kPa are available. Assuming that the feed mixture is liquid at its boiling point (e.g. a saturated liquid) determine a) Calculate the flowrates (mol/hr) of the distillate and bottoms. b) Determine the theoretical number of trays and the feed tray number for the specified operation. c) Determine the minimum reflux ratio, RMIN and the minimum number of theoretical trays at total reflux.

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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**Heptane-Ethyl Benzene System**

A feed of 200 mol/hr containing 36 mole % heptane and 64 mole % ethyl benzene is to be fractionated at 101.325 kPa (abs) in order to form a distillate containing 92 mole % heptane and a bottoms containing 8.0 mole % heptane. The reflux ratio used is 4.0:1. Equilibrium for the system at 101.325 kPa are available.

**Assuming that the feed mixture is liquid at its boiling point (e.g. a saturated liquid) determine:**

a) Calculate the flowrates (mol/hr) of the distillate and bottoms.  
b) Determine the theoretical number of trays and the feed tray number for the specified operation.  
c) Determine the minimum reflux ratio, R\(_{\text{MIN}}\) and the minimum number of theoretical trays at total reflux.  

**Assuming that the feed mixture is saturated vapor determine:**

d) Determine the theoretical number of trays and the feed tray number for the specified operation.  
e) Determine the minimum reflux ratio, R\(_{\text{MIN}}\) and the minimum number of theoretical trays at total reflux.  

---

**Methyl Acetate-Ethyl Benzene System**

A feed of 1000 mol/hr containing 40 mole % methyl acetate and 60 mole % ethyl benzene is to be fractionated at 101.325 kPa (abs) in order to form a distillate containing 90 mole % methyl acetate and a bottoms containing 10.0 mole % methyl acetate. The reflux ratio used is 5.0:1. Equilibrium for the system at 101.325 kPa are available.

**Assuming that the feed mixture is liquid at its boiling point (e.g. a saturated liquid) determine:**

a) Calculate the flowrates (mol/hr) of the distillate and bottoms.  
b) Determine the theoretical number of trays and the feed tray number for the specified operation.  
c) Determine the minimum reflux ratio, R\(_{\text{MIN}}\) and the minimum number of theoretical trays at total reflux.  

*Note: There are no graphs or diagrams associated with the provided text.*
Transcribed Image Text:**Heptane-Ethyl Benzene System** A feed of 200 mol/hr containing 36 mole % heptane and 64 mole % ethyl benzene is to be fractionated at 101.325 kPa (abs) in order to form a distillate containing 92 mole % heptane and a bottoms containing 8.0 mole % heptane. The reflux ratio used is 4.0:1. Equilibrium for the system at 101.325 kPa are available. **Assuming that the feed mixture is liquid at its boiling point (e.g. a saturated liquid) determine:** a) Calculate the flowrates (mol/hr) of the distillate and bottoms. b) Determine the theoretical number of trays and the feed tray number for the specified operation. c) Determine the minimum reflux ratio, R\(_{\text{MIN}}\) and the minimum number of theoretical trays at total reflux. **Assuming that the feed mixture is saturated vapor determine:** d) Determine the theoretical number of trays and the feed tray number for the specified operation. e) Determine the minimum reflux ratio, R\(_{\text{MIN}}\) and the minimum number of theoretical trays at total reflux. --- **Methyl Acetate-Ethyl Benzene System** A feed of 1000 mol/hr containing 40 mole % methyl acetate and 60 mole % ethyl benzene is to be fractionated at 101.325 kPa (abs) in order to form a distillate containing 90 mole % methyl acetate and a bottoms containing 10.0 mole % methyl acetate. The reflux ratio used is 5.0:1. Equilibrium for the system at 101.325 kPa are available. **Assuming that the feed mixture is liquid at its boiling point (e.g. a saturated liquid) determine:** a) Calculate the flowrates (mol/hr) of the distillate and bottoms. b) Determine the theoretical number of trays and the feed tray number for the specified operation. c) Determine the minimum reflux ratio, R\(_{\text{MIN}}\) and the minimum number of theoretical trays at total reflux. *Note: There are no graphs or diagrams associated with the provided text.*
**Heptane - Ethyl Benzene at 1 atm (101.325 kPa)**

This data table provides the equilibrium composition of a binary mixture of Heptane and Ethyl Benzene at atmospheric pressure (1 atm or 101.325 kPa). The table includes the temperature in both Fahrenheit and Celsius, alongside the mole fractions of Heptane.

**Table Columns:**
1. **Temperature:**
   - **T (°F):** Temperature in degrees Fahrenheit.
   - **T (°C):** Temperature in degrees Celsius.

2. **Heptane:**
   - **x:** Mole fraction of Heptane in the liquid phase.
   - **y:** Mole fraction of Heptane in the vapor phase.

**Data:**

| T (°F) | T (°C) | x    | y    |
|--------|--------|------|------|
| 409.3  | 136.2  | 0.000 | 0.000 |
| 406.3  | 133.2  | 0.050 | 0.125 |
| 403.5  | 130.3  | 0.100 | 0.234 |
| 400.8  | 127.6  | 0.150 | 0.329 |
| 398.3  | 125.1  | 0.200 | 0.412 |
| 395.9  | 122.8  | 0.250 | 0.485 |
| 393.7  | 120.9  | 0.300 | 0.550 |
| 391.5  | 118.4  | 0.350 | 0.607 |
| 389.5  | 116.4  | 0.400 | 0.659 |
| 387.6  | 114.5  | 0.450 | 0.705 |
| 385.8  | 112.7  | 0.500 | 0.746 |
| 384.1  | 111.0  | 0.550 | 0.783 |
| 382.5  | 109.3  | 0.600 | 0.817 |
| 380.9  | 107.7  | 0
Transcribed Image Text:**Heptane - Ethyl Benzene at 1 atm (101.325 kPa)** This data table provides the equilibrium composition of a binary mixture of Heptane and Ethyl Benzene at atmospheric pressure (1 atm or 101.325 kPa). The table includes the temperature in both Fahrenheit and Celsius, alongside the mole fractions of Heptane. **Table Columns:** 1. **Temperature:** - **T (°F):** Temperature in degrees Fahrenheit. - **T (°C):** Temperature in degrees Celsius. 2. **Heptane:** - **x:** Mole fraction of Heptane in the liquid phase. - **y:** Mole fraction of Heptane in the vapor phase. **Data:** | T (°F) | T (°C) | x | y | |--------|--------|------|------| | 409.3 | 136.2 | 0.000 | 0.000 | | 406.3 | 133.2 | 0.050 | 0.125 | | 403.5 | 130.3 | 0.100 | 0.234 | | 400.8 | 127.6 | 0.150 | 0.329 | | 398.3 | 125.1 | 0.200 | 0.412 | | 395.9 | 122.8 | 0.250 | 0.485 | | 393.7 | 120.9 | 0.300 | 0.550 | | 391.5 | 118.4 | 0.350 | 0.607 | | 389.5 | 116.4 | 0.400 | 0.659 | | 387.6 | 114.5 | 0.450 | 0.705 | | 385.8 | 112.7 | 0.500 | 0.746 | | 384.1 | 111.0 | 0.550 | 0.783 | | 382.5 | 109.3 | 0.600 | 0.817 | | 380.9 | 107.7 | 0
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