The document discusses principles of molecular diffusion in gases. It covers topics such as equimolar counter diffusion, diffusion through cross-sectional areas like spheres, and calculating diffusion coefficients. Examples and problems are provided to demonstrate how to calculate flux and diffusion rates in various scenarios, including diffusion between binary gas mixtures and evaporation from surfaces. Methods for estimating gas diffusivity are also presented.
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Distillation
Subject: 0.2 Introduction to distillation.
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Mass transfer processes
Subject: 2.2 Molecular diffusion
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Distillation
Subject: 0.2 Introduction to distillation.
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Mass transfer processes
Subject: 2.2 Molecular diffusion
COURSE LINK:
https://www.chemicalengineeringguy.com/courses/gas-absorption-stripping/
Introduction:
Gas Absorption is one of the very first Mass Transfer Unit Operations studied in early process engineering. It is very important in several Separation Processes, as it is used extensively in the Chemical industry.
Understanding the concept behind Gas-Gas and Gas-Liquid mass transfer interaction will allow you to understand and model Absorbers, Strippers, Scrubbers, Washers, Bubblers, etc…
We will cover:
- REVIEW: Of Mass Transfer Basics required
- GAS-LIQUID interaction in the molecular level, the two-film theory
- ABSORPTION Theory
- Application of Absorption in the Industry
- Counter-current & Co-current Operation
- Several equipment to carry Gas-Liquid Operations
- Bubble, Spray, Packed and Tray Column equipments
- Solvent Selection
- Design & Operation of Packed Towers
- Pressure drop due to packings
- Solvent Selection
- Design & Operation of Tray Columns
- Single Component Absorption
- Single Component Stripping/Desorption
- Diluted and Concentrated Absorption
- Basics: Multicomponent Absorption
- Software Simulation for Absorption/Stripping Operations (ASPEN PLUS/HYSYS)
----
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More likes, sharings, suscribers: MORE VIDEOS!
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CONTACT ME
Chemical.Engineering.Guy@Gmail.com
www.ChemicalEngineeringGuy.com
http://facebook.com/Chemical.Engineering.Guy
You speak spanish? Visit my spanish channel -www.youtube.com/ChemEngIQA
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Distillation
Subject: 1.2 Flash distillation.
A 10-minute experimental run shows that 75% of liquid reactant is converted to product by a half-order rate. What would be the fraction converted in a half-hour run?
The Principles required to understand Distillation, Absorption, Stripping, Flashing, Gas Treating, Scrubbing and more!
Introduction:
This course covers all the theory required to understand the basic principles behind Unit Operations that are based on Mass Transfer. Most of these Unit Operations (Equipments) are used in Process Separation Technologies in the Industry.Common examples are Distillation, Absorption and Scrubbing.
This course is required for the following:
Flash Distillation
Gas Absorption & Stripping
Simple Distillation
Batch Distillation
Binary Distillation
Fractional Distillation
Scrubbers
Gas Treating
Sprayers / Spray Towers
Bubble Columns / Sparged Vessels
Agitation Vessels
Packed Towers
Tray Towers
We will cover:
Mass Transfer Basics
Diffusion, Convection
Flux & Fick's Law
The Concept of Equilibrium & Phases
Gibbs Phase Rule
Vapor Pressure
Equilibrium Vapor-Liquid Diagrams (T-xy, P-xy, XY)
Equilibrium Curves
Dew Point, Bubble Point
Volatility (Absolute & Relative)
K-Values
Ideal Cases vs. Real Cases
Henry's Law
Raoult's Law
Deviations of Ideal Cases (Positive and Negative)
Azeotropes
Solubility of Gases in Liquids
Interphase Mass Transfer and its Theories
Two Film Theory
Mass Transfer Coefficients (Overall vs Local)
Getting Vapor-Liquid and Solubility Data
Solved-Problem Approach:
All theory is backed with:
Exercises
Solved problems
Proposed problems
Homework
Case Studies
Individual Study
At the end of the course:
You will be able to understand the mass transfer concepts behind various Unit Operations involving Vapor - Liquid Interaction.
You will be able to apply this theory in further Unit Operations related to Mass Transfer Vapor - Liquid, which is one of the most common interactions found in the industry.
About your instructor:
I majored in Chemical Engineering with a minor in Industrial Engineering back in 2012.
I worked as a Process Design/Operation Engineer in INEOS Koln, mostly on the petrochemical area relating to naphtha treating. There I designed and modeled several processes relating separation of isopentane/pentane mixtures, catalytic reactors and separation processes such as distillation columns, flash separation devices and transportation of tank-trucks of product.
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project.
Section: Distillation
Subject: 1.1 Vapor Liquid Equilibrium
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Mass transfer processes
Subject: 3.2 Equipment
COURSE LINK:
https://www.chemicalengineeringguy.com/courses/gas-absorption-stripping/
Introduction:
Gas Absorption is one of the very first Mass Transfer Unit Operations studied in early process engineering. It is very important in several Separation Processes, as it is used extensively in the Chemical industry.
Understanding the concept behind Gas-Gas and Gas-Liquid mass transfer interaction will allow you to understand and model Absorbers, Strippers, Scrubbers, Washers, Bubblers, etc…
We will cover:
- REVIEW: Of Mass Transfer Basics required
- GAS-LIQUID interaction in the molecular level, the two-film theory
- ABSORPTION Theory
- Application of Absorption in the Industry
- Counter-current & Co-current Operation
- Several equipment to carry Gas-Liquid Operations
- Bubble, Spray, Packed and Tray Column equipments
- Solvent Selection
- Design & Operation of Packed Towers
- Pressure drop due to packings
- Solvent Selection
- Design & Operation of Tray Columns
- Single Component Absorption
- Single Component Stripping/Desorption
- Diluted and Concentrated Absorption
- Basics: Multicomponent Absorption
- Software Simulation for Absorption/Stripping Operations (ASPEN PLUS/HYSYS)
----
Please show the love! LIKE, SHARE and SUBSCRIBE!
More likes, sharings, suscribers: MORE VIDEOS!
-----
CONTACT ME
Chemical.Engineering.Guy@Gmail.com
www.ChemicalEngineeringGuy.com
http://facebook.com/Chemical.Engineering.Guy
You speak spanish? Visit my spanish channel -www.youtube.com/ChemEngIQA
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Distillation
Subject: 1.2 Flash distillation.
A 10-minute experimental run shows that 75% of liquid reactant is converted to product by a half-order rate. What would be the fraction converted in a half-hour run?
The Principles required to understand Distillation, Absorption, Stripping, Flashing, Gas Treating, Scrubbing and more!
Introduction:
This course covers all the theory required to understand the basic principles behind Unit Operations that are based on Mass Transfer. Most of these Unit Operations (Equipments) are used in Process Separation Technologies in the Industry.Common examples are Distillation, Absorption and Scrubbing.
This course is required for the following:
Flash Distillation
Gas Absorption & Stripping
Simple Distillation
Batch Distillation
Binary Distillation
Fractional Distillation
Scrubbers
Gas Treating
Sprayers / Spray Towers
Bubble Columns / Sparged Vessels
Agitation Vessels
Packed Towers
Tray Towers
We will cover:
Mass Transfer Basics
Diffusion, Convection
Flux & Fick's Law
The Concept of Equilibrium & Phases
Gibbs Phase Rule
Vapor Pressure
Equilibrium Vapor-Liquid Diagrams (T-xy, P-xy, XY)
Equilibrium Curves
Dew Point, Bubble Point
Volatility (Absolute & Relative)
K-Values
Ideal Cases vs. Real Cases
Henry's Law
Raoult's Law
Deviations of Ideal Cases (Positive and Negative)
Azeotropes
Solubility of Gases in Liquids
Interphase Mass Transfer and its Theories
Two Film Theory
Mass Transfer Coefficients (Overall vs Local)
Getting Vapor-Liquid and Solubility Data
Solved-Problem Approach:
All theory is backed with:
Exercises
Solved problems
Proposed problems
Homework
Case Studies
Individual Study
At the end of the course:
You will be able to understand the mass transfer concepts behind various Unit Operations involving Vapor - Liquid Interaction.
You will be able to apply this theory in further Unit Operations related to Mass Transfer Vapor - Liquid, which is one of the most common interactions found in the industry.
About your instructor:
I majored in Chemical Engineering with a minor in Industrial Engineering back in 2012.
I worked as a Process Design/Operation Engineer in INEOS Koln, mostly on the petrochemical area relating to naphtha treating. There I designed and modeled several processes relating separation of isopentane/pentane mixtures, catalytic reactors and separation processes such as distillation columns, flash separation devices and transportation of tank-trucks of product.
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project.
Section: Distillation
Subject: 1.1 Vapor Liquid Equilibrium
Slides for the eLearning course Separation and purification processes in biorefineries (https://open-learn.xamk.fi) in IMPRESS project (https://www.spire2030.eu/impress).
Section: Mass transfer processes
Subject: 3.2 Equipment
Transport processes and unit operations geankoplisRinka Meari
Solution Maunul link:
https://www.slideshare.net/Mejoy27/transport-processes-and-unit-operation-solution-manualgeankoplis
share and credits to the respective author Geankoplis,:)
Air pollution: its causes,effects and pollutantsMaliha Eesha
This presentation gives the complete detail of air, air pollution, air pollutants and their types, each pollutant in detail and its causes and effects, acid rain, methods of prevention,smog,acidification,indoor pollution and so on. It is a complete package and I hope it'll be helpful in school! :)
Current advancement in different gas liquid operationsSunny Chauhan
CURRENT ADVANCEMENT IN DIFFERENT GAS-LIQUID OPERATIONS,Gas Liquid operation equipment
,Extractive distillation
,Advances in Gas Absorption,High efficiency venturi scrubber
,Advances in Diffusion
,Advances in Stirred Tanks
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,Advances in Venturi Scrubber
This course is all about Natural gas engineering from the Federal University of Technology owerri, it has concise explanations about the different topics in it
Production of CH4 and C2 hydrocarbons by axial and radial pulse H2/CO2 discha...theijes
Production of methane CH4 from a mixture gas of carbon dioxide CO2 and hydrogen H2 has been established by two types of pulse discharges. One is an axial discharge with a use of thin pair Ni wire electrodes separated by a narrow gap, and the other is a coaxially radial discharge with a use of inner rod and outer tube electrodes made of stainless steel (SUS). The former provides an intense gap discharge, while the latter provides a gentle discharge in the annular region. Decomposition of CO2 is enhanced in the former case when Ni (nickel) mesh disc electrode is placed behind the gap. Ni is known as catalysis. When the radial discharge proceeds in a closed gas system, 2C hydrocarbons such as ethane and ethylene are generated in case that a cylindrical mesh electrode made of Ni is attached to the powered SUS tube electrode. Both of the CH4 production and the energy efficiency for CH4 production are enhanced in case of Ni mesh electrodes, without a use of additional heating for the Ni catalysis. Synergy effect of plasma and Ni catalyst is observed
Split Second Analysis Covering High Pressure Gas Flow Dynamics At Pipe Outlet...AEIJjournal2
A detailed investigation covering piped gas flow characteristics in high pressure flow conditions. Such flow
analysis can be resolved using established mathematical equations known as the Fanno condition, which
usually cover steady state, or final flow conditions. However, in real life, such flow conditions are
transient, varying with time. This paper uses CFD analysis providing a split second “snapshot” at what
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In this example air was selected for simulation purposes. In HVAC applications, such gas flow conditions
can occur in typical applications such as; air compressors releasing high pressure air through a pipe, or
compressor over pressure refrigerant gas being released into the atmosphere via a discharge pipe.
Investigation has shown that rather than a steady mass flow rate condition occurring at the pipe outlet,
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stabilizing after a few seconds, with relatively minor ripples in flow rate. Other observations were also
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CFD results in mass flow rate were compared with the mathematically derived results, differences were
recorded. The CFD analysis showed how the k-omega turbulence model performed well, with the processor
stabilizing at an early stage.
International Journal of Computational Engineering Research(IJCER)ijceronline
International Journal of Computational Engineering Research (IJCER) is dedicated to protecting personal information and will make every reasonable effort to handle collected information appropriately. All information collected, as well as related requests, will be handled as carefully and efficiently as possible in accordance with IJCER standards for integrity and objectivity.
SPLIT SECOND ANALYSIS COVERING HIGH PRESSURE GAS FLOW DYNAMICS AT PIPE OUTLET...AEIJjournal2
A detailed investigation covering piped gas flow characteristics in high pressure flow conditions. Such flow analysis can be resolved using established mathematical equations known as the Fanno condition, which usually cover steady state, or final flow conditions. However, in real life, such flow conditions are
transient, varying with time. This paper uses CFD analysis providing a split second “snapshot” at what happens at the pipe outlet, and therefore, a closer understanding at what happens at the pipe’s outlet in high pressure gas flow condition
Similar to Chap 1(a) molecular-diffusion_in_gas(2) (20)
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Ang Chong Yi Navigating Singaporean Flavors: A Journey from Cultural Heritage...
Chap 1(a) molecular-diffusion_in_gas(2)
1. 2008/2009 II
BKF 2432: MASS TRANSFER
FKKSA, UMP
Principles of Mass Transfer
CHAPTER 1CHAPTER 1
Molecular Diffusion in GasesMolecular Diffusion in Gases
1
2. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
Topic Outcomes
2
It is expected that student will be able to:
Apply the diffusivity coefficient of molecular
diffusion in gases.
Solve mathematical solution of molecular diffusion
in gases.
3. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
CONTENTS
Mass Transfer
Molecular Diffusion Convective Mass Transfer
Gases Liquid Solid
3
12. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
Problem 6.1-1 (pg 452) Diffusion of Methane
Through Helium
A gas of CH4 and He is contained in a tube at 101.32 kPa pressure and 298
K. At one point the partial pressure of methane is pA1 = 60.79 kPa, and at a
point 0.02 m distance away, pA2 = 20.26 kPa. If the total pressure is
constant throughout the tube, calculate the flux of CH4(methane) at
steady state for equimolar counter diffusion.
12
13. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
Example 6.2-1 (pg 415) Equimolar Counterdiffusion
o Ammonia gas (A) is diffusing through a uniform tube 0.10 m long
containing N2 gas (B) at 1.0132 x 105
Pa pressure and 298 K. At point 1,
pA1 = 1.013 x 104
Pa , and at point 2, pA2 = 0.507 x 104
Pa. The diffusivity
DAB = 0.230 x 10-4
m2
/s.
1. 1. Calculate the flux J*A at steady state
2. 2. Repeat for J*B
13
Numerical
value
Units
82.057 cm3
.atm/kg mol . K
82.057x 10-3
m3
.atm/kg mol . K
8314.34 J/kg mol . K
8314.34 m3
.Pa / kg mol .K
8314.34 kg . m2
/s2
. kg mol.K
o.7302 ft3
.atm/lb mol.0
R
15. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMPProblem 6.2-1 (pg 452) Equimolar Counterdiffusion of a Binary Gas
Mixture
• Helium and nitrogen gas are contained in a conduit 5 mm in diameter
and 0.1 m long at 298 K and a uniform constant pressure of 1.0 atm
abs. The partial pressure of He at one end of the tube is 0.060 atm and
the other end is 0.020 atm. Calculate the following for steady-state
equimolar counterdiffusion:
1. Flux of He in kg mol/s.m2
1. 2. Flux of N2
2. 3. Partial pressure of He at a point 0.05 m from either end.
15
17. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
17
Solution:
DAB = 0.687 x 10-4
m2
/s (Table 6.2-1)
z2-z1 = 0.1m
pA1 = 0.060 atm
pA2 = 0.020 atm
R = 82.06 x 10-3
cm3
.atm/g mol.K (Table A.1-1)
a) Eqn. (6.1-13)
b)
18. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
Diffusion of Gases A and B Plus
Convection (General Case) (pg 416)
18
Convection is the concerted, collective
movement of ensembles of molecules
within fluids (e.g., liquids, gases)
25. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
Example 6.2-2 (pg 419) Diffusion of Water
Through Stagnant, Nondiffusing Air
Water in the bottom of a narrow metal tube is held at a constant
temperature of 20o
C. The total pressure of air (assumed dry) is1.0 atm
and the temperature is 20o
C. Water evaporates and diffuses through
the air in the tube, and the diffusion path z2– z1 is 0.1524 m (0.5 ft)
long. The diagram is similar to Fig 6.2-2a. Calculate the rate of
evaporation at steady state in lb mol/hr.ft2
and kg mol/s.m2
. The
diffusivity of water vapor at 20o
C and 1 atm pressure is 0.250x10-4
m2
/s.
Assume that the system is isothermal.
25
27. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
Problem 6.2-3 (pg 453) Diffusion of A Through
Stagnant B and Effect of Type of Boundary on Flux
Ammonia gas is diffusing through N2 under steady state conditions
with N2nondiffusing since it is insoluble in one boundary. The total
pressure is 1.013 x 105
Pa and the temperature is 298 K. The partial
pressure of NH3 at one point is 1.333 x 104
Pa, and at the other point 20
mm away it is 6.666 x 103
Pa. The DAB for the mixture at 1.013 X 105
Pa
and 298 K is 2.30 x 10-5
m2/s.
a) calculate the flux of NH3 in kg mol/s.m2
b) do the same as (a) but assume that N2 also diffuses, both boundaries
are permeable to both gases and the flux is equimolar
counterdiffusion. In which case is the flux greater?
27
28. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
Diffusion Through Cross
Sectional Area (Sphere)
28
31. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
Example 6.2-4 (pg 421) Evaporation of
Naphthalene Sphere
A sphere of naphthalene having a radius of 2.0 mm is suspended in a
large volume of still air at 318 K and 1.01325 x 105
Pa. The surface
temperature of the naphthalene can be assumed to be at 318 K and its
vapor pressure at 318 K is 0.555 mm Hg. The DAB of naphthalene in air
at 318 K is 6.92 x 10-6
m2
/s. Calculate the rate of evaporation of
naphthalene from the surface.
31
32. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
Problem 6.2-5 (pg 453) Mass Transfer from a
Naphthalene Sphere to Air
Mass transfer is occurring from a sphere of naphthalene having radius
of 10 mm. The sphere is in large volume of still air at 52.6°C and 1 atm
abs pressure. The vapor pressure of naphthalene at 52.6°C is 1.0
mmHg. The diffusitivity of naphthalene in air at 0°C is 5.16 x 10-6
m2
/s.
Calculate the rate of evaporation of naphthalene from the surface in
kg mol/s.m2
.
32
37. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
Example 6.2-5 (pg 427) Estimation of
Diffusivity of a Gas Mixture
• Normal butanol (A) is diffusing through air (B) at 1 atm abs. Using
the Fuller et al. method, estimate the diffusivity DAB for the following
temperatures and compare with the experimental data.
• Given MA (butanol) = 74.1 kg (mass)/kg mol,
• MB (air) = 29 kg (mass)/kg mol]
a) For 0o
C.
b) For 25.9o
C
c) For 0o
C and 2.0 atm abs
37
39. 2008/2009 II
BKF 2432: MASS TRANSFER FKKSA, UMP
Numerical
value
Units
82.057 cm3
.atm/kg mol . K
82.057 x 10-3
m3
.atm/kg mol . K
8314.34 J/kg mol . K
8314.34 m3
.Pa / kg mol .K
8314.34 kg . m2
/s2
. kg mol . K
o.7302 ft3
.atm/lb mol.0
R
Gas Law Constant R (pg 955)