Ch23. Introduction to Analytical Separations

Similar documents
Separation. Ch. 23 Fundamentals of Analytical Separations. Extraction Efficiency

Lecture 17: Kinetics of Phase Growth in a Two-component System:

Chromatographic Theory

Lecture 18: Kinetics of Phase Growth in a Two-component System: general kinetics analysis based on the dilute-solution approximation

Two-dimensional Effects on the CSR Interaction Forces for an Energy-Chirped Bunch. Rui Li, J. Bisognano, R. Legg, and R. Bosch


, on the power of the transmitter P t fed to it, and on the distance R between the antenna and the observation point as. r r t

ÖRNEK 1: THE LINEAR IMPULSE-MOMENTUM RELATION Calculate the linear momentum of a particle of mass m=10 kg which has a. kg m s

r r r r r EE334 Electromagnetic Theory I Todd Kaiser

Lecture 5. Chapter 3. Electromagnetic Theory, Photons, and Light

Fundamental Vehicle Loads & Their Estimation

156 There are 9 books stacked on a shelf. The thickness of each book is either 1 inch or 2

Stress Analysis of Infinite Plate with Elliptical Hole

Physics 207 Lecture 13

AB for hydrogen in steel is What is the molar flux of the hydrogen through the steel? Δx Wall. s kmole

Chapter 7. Interference

Representing Knowledge. CS 188: Artificial Intelligence Fall Properties of BNs. Independence? Reachability (the Bayes Ball) Example

2) Of the following questions, which ones are thermodynamic, rather than kinetic concepts?

Thus the force is proportional but opposite to the displacement away from equilibrium.

Substances that are liquids or solids under ordinary conditions may also exist as gases. These are often referred to as vapors.

Lecture 22 Electromagnetic Waves

Circular Motion. Radians. One revolution is equivalent to which is also equivalent to 2π radians. Therefore we can.

Today - Lecture 13. Today s lecture continue with rotations, torque, Note that chapters 11, 12, 13 all involve rotations

The sudden release of a large amount of energy E into a background fluid of density

Chapter Finite Difference Method for Ordinary Differential Equations

Low-complexity Algorithms for MIMO Multiplexing Systems

MATHEMATICS PAPER 121/2 K.C.S.E QUESTIONS SECTION 1 ( 52 MARKS) 3. Simplify as far as possible, leaving your answer in the form of surd

2.1: What is physics? Ch02: Motion along a straight line. 2.2: Motion. 2.3: Position, Displacement, Distance

The shortest path between two truths in the real domain passes through the complex domain. J. Hadamard

MECHANICS OF MATERIALS Poisson s Ratio

Ground Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. A/Prof Tay Seng Chuan

Computer Propagation Analysis Tools

Lecture 23 Damped Motion

Applications of force vibration. Rotating unbalance Base excitation Vibration measurement devices

1. Calibration factor

The Production of Polarization

( ) ( ) if t = t. It must satisfy the identity. So, bulkiness of the unit impulse (hyper)function is equal to 1. The defining characteristic is

General Non-Arbitrage Model. I. Partial Differential Equation for Pricing A. Traded Underlying Security

Outline. Chapter 2: DC & Transient Response. Introduction to CMOS VLSI. DC Response. Transient Response Delay Estimation

An Open cycle and Closed cycle Gas Turbine Engines. Methods to improve the performance of simple gas turbine plants

Module 2 F c i k c s la l w a s o s f dif di fusi s o i n

Reinforcement learning

M x t = K x F t x t = A x M 1 F t. M x t = K x cos t G 0. x t = A x cos t F 0

1 Widrow-Hoff Algorithm

Sections 3.1 and 3.4 Exponential Functions (Growth and Decay)

Feedback Couplings in Chemical Reactions

Fourier Series & The Fourier Transform. Joseph Fourier, our hero. Lord Kelvin on Fourier s theorem. What do we want from the Fourier Transform?

At the end of this lesson, the students should be able to understand

Viscous Damping Summary Sheet No Damping Case: Damped behaviour depends on the relative size of ω o and b/2m 3 Cases: 1.

GEOGRAPHY PAPER

KINEMATICS IN ONE DIMENSION

PHYS PRACTICE EXAM 2

ENGI 4430 Advanced Calculus for Engineering Faculty of Engineering and Applied Science Problem Set 9 Solutions [Theorems of Gauss and Stokes]

7 Wave Equation in Higher Dimensions

Instructor: Barry McQuarrie Page 1 of 5

KINEMATICS OF RIGID BODIES

Sharif University of Technology - CEDRA By: Professor Ali Meghdari

Pressure Vessels Thin and Thick-Walled Stress Analysis

Introduction to AC Power, RMS RMS. ECE 2210 AC Power p1. Use RMS in power calculations. AC Power P =? DC Power P =. V I = R =. I 2 R. V p.

Lecture 4 Kinetics of a particle Part 3: Impulse and Momentum

4. Fundamental of A.C. Circuit

Rotational Motion and the Law of Gravity

AP Calculus BC Chapter 10 Part 1 AP Exam Problems

MATHEMATICAL FOUNDATIONS FOR APPROXIMATING PARTICLE BEHAVIOUR AT RADIUS OF THE PLANCK LENGTH

The k-filtering Applied to Wave Electric and Magnetic Field Measurements from Cluster

CHEMICAL KINETICS: 1. Rate Order Rate law Rate constant Half-life Temperature Dependence

1 Evaluating Chromatograms

Problem Set on Differential Equations

Non-sinusoidal Signal Generators

SPH4U Unit 6.3 Gravitational Potential Energy Page 1 of 9

Control Volume Derivation

Physics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle

EECE 301 Signals & Systems Prof. Mark Fowler

Vortex Initialization in HWRF/HMON Models

Gauss s Law Simulation Activities

Unsteady Mass- Transfer Models

T h e C S E T I P r o j e c t

CS 188: Artificial Intelligence Fall Probabilistic Models

AP Chemistry--Chapter 12: Chemical Kinetics

A L A BA M A L A W R E V IE W

HOTELLING LOCATION MODEL

P a g e 5 1 of R e p o r t P B 4 / 0 9

EECE 301 Signals & Systems Prof. Mark Fowler

A Numerical Hydration Model of Portland Cement

Reading. Lecture 28: Single Stage Frequency response. Lecture Outline. Context

Ferent equation of the Universe

Relative and Circular Motion

FARADAY'S LAW. dates : No. of lectures allocated. Actual No. of lectures 3 9/5/09-14 /5/09

Practice Problems - Week #4 Higher-Order DEs, Applications Solutions

Answers to Algebra 2 Unit 3 Practice

PHYSICS 220 Lecture 02 Motion, Forces, and Newton s Laws Textbook Sections

Chapter 31 Faraday s Law

Effect of Wall Absorption on dispersion of a solute in a Herschel Bulkley Fluid through an annulus

Design Guideline for Buried Hume Pipe Subject to Coupling Forces

Advanced Organic Chemistry

Oscillations. Simple Harmonic Motion The most basic oscillation, with sinusoidal motion, is called simple harmonic motion.

Lecture 5 Emission and Low-NOx Combustors

Kinematics Vocabulary. Kinematics and One Dimensional Motion. Position. Coordinate System in One Dimension. Kinema means movement 8.

Monochromatic Wave over One and Two Bars

Transcription:

Ch3. Inoducion o Analyical Sepaaions 3. Medical Issue : Measuing Silicones Leaking fo Beas Iplans High olecula ass poly(diehylsiloane), PDMS, [(CH 3 ) SiO] n : Used as GC saionay phase, gels in beas iplans : ~% of silicones in beas iplans ae low-olecula-ass when leaks, i avel hough ciculaoy and lyph syse o deposi in lipid ich issues Ch3. Inoducion o Analyical Sepaaions 3.

3-. Solven Eacion 3.3 Eacion : ansfe of solue fo one phase o he ohe phase Why o use eacion? : o isolae o concenae desied analye. - Oganic solven dense han wae : CCl 4, CH Cl, CHCl 3 - Oganic solven lighe han wae : diehylehe, oluene Equilibiu in Solue Solue: S in phase Paiion coefficien: K A A S S [S] [S] A S i aciiviy Phase : volue V ( wae) Phase : V ( solven, oluene) 3-. Solven Eacion 3.4 If, : oal # of oles q : facion of S eaining in phase olaiy in phase K [S] [S] ( q) / V q / V Facion eaining in phase afe eacion q V V + KV q V Paiion coeff. If oluene eoved, and add fesh oluene fo coplee eacion, V Facion eaining in phase q q V + KV Repeaing esuls in he decease of facion eaining in wae.

3-. Solven Eacion 3.5. ph effec : if a solue is acidic o basic, solubiliy depends on ph (neual ol dissolves in oganic, chaged species in aqueous) ph is ipoan in eacion i.e.) Suppose conjugae acid: BH + is soluble only in aqueous phase. oal conc.in phase Disibuion coefficien : D oal conc.in phase + [B] [B] [B][H ] D + K K [B] a + D [B] + [BH K K ] a + Ka + [H K α ] B [BH α B : facion of he weak base in neual fo in aq. To eac base in wae, use HIGH ph o conve BH + B acid LOW ph ] 3- Wha is Choaogaphy? 3.6 Choaogaphy : siila o eacion One phase : fied saionay phase : solid (liquid coaed) paicles packed The ohe phase : oving obile phase : solven filled, liq o gas eluan eluae

3- Wha is Choaogaphy? 3.7. Types of Choaogaphy Adsopion : adsopion on solid suface paiion : siila o Liq-Liq eacion S.P.: S.P.: solid (silica, aluina,ec) GC- Liq s.ph. bonded o SiO M.P.: Liq o Gas of inne wall of capillay songe solue adsopion LC- Liq s.ph. bonded o solid suface slow avel M.P.: Liq o Gas 3- Wha is Choaogaphy? 3.8 ion-echange: siila o Liq-Liq eacion S.P.: ionic goup aached on solid suface -SO 3- : aac caion Molecula eclusion: gel filaion o gel peeaion - sepaaion by size. -NH 4+ o N(CH 3 ) 3+ aac anion - Lage passes fase M.P.: Liq

3- Wha is Choaogaphy? 3.9 Affiniy choaogaphy : anibody iobilized on S. phase. only specific poeins apped o anibody 3-3. A plube s Poin of View 3.0 fo e) colun: id0.60c (0.30c) M.P. occupies 0% in volue colun vol of each c π(0.30) c 0.83 L - Volueic flow ae 0.30 L/in. 0.30 L / 0.0565 L/c 5.3 c 5.3c/in : linea flow ae. The choaoga: gaph showing he deeco esponse as ie

3-3. A plube s Poin of View 3. eenion volue ( ) : ie o each deeco fo injeco eenion volue (V ) : volue of M.P. o elue solue fo he colun dead ie ( ) : passage ie fo obiled phase hough colun adjused eenion ie ( ): elaive eenion (α) ' α ' fo eo coponens,, >, α> Fo each peak, capaciy faco (k ) k' (o eenion faco, cap. faco) o paiion aio k ' ie of solue in S.P. ie of solue in M.P. 3-3. A plube s Poin of View 3. ie of solue in S.P. oles of solue in S.P. k ' ie of solue in M.P. oles of solue in M.P. C C S V V [saple] [saple] S k ' K S ' K paiion coefficien α ' ' k ' k ' C C S V V s See eaple in P50 eenion volue (V ) V U v U v : volueic flow ae

3-3. A plube s Poin of View 3.3. Scaling Up choaogaphy fo analyical pupose : ge infoaion pepaaive use : collec facions Needs scale up - Ipoan in phaaceuical indusy - dug puificaion i.e.) g ou of.0-c diaee colun How lage i.d. colun needed fo sepaaing 0 g? 0g g adius.58c -- ~3c in diaee 0.50c Fo flow ae, us be he sae linea flow ae abou 0 ies aea incease 0 ies highe volueic flow ae 3-4. Efficiency of Sepaaion 3.4 How well sepaaed? by wha diffeences o say i bee o poo? - ie diffeence (fa apa) - boadness : wide peak pooe sepaaion, infoaion loss Solue peak -- boadened as gaussian (due o diffusion) The longe sepaaion, he boade he peak is

3-4. Efficiency of Sepaaion 3.5. Resoluion : easue of sepaaion beween wo peaks R s Δ w av ΔV w av 0.589Δ w / av Fo quaniaive Analysis R s >.5 3-4. Efficiency of Sepaaion 3.6. Diffusion Why becoes gaussian? Due o diffusion In a colun, # of oles cossing /uni aea/uni ie : flu : J ol Flu( ) J D s dc d D: diffusion coeff. (Table 3-) dc/d: conc. Gadien acoss a plane - sign: ne flu is fo high conc. o low conc.

3-4. Efficiency of Sepaaion 3.7 3-4. Efficiency of Sepaaion 3.8 If a solue avels in a colun wih an infiniely shap dela funcion concenaion pofile: solve ou fo flu equaion C ep( ) 4πD 4D sd. dev : σ D C: ol/ 3, : disance along colun

3-4. Efficiency of Sepaaion 3.9 3. Plae heigh : a easue of colun efficiency σ D D /u u D H u H σ Plae heigh Heigh equivalen o heoeical plae anohe eaning: lengh of colun equied fo one eq. of solue be. SP & MP By deceasing H bee sepaaion GC:~ 0.~, HPLC: ~0 μ C.E.: < μ fo a solue eeging fo colun L L L L 6L N H σ σ w Nube of plaes N σ 5.55 w / 3-4. Efficiency of Sepaaion 3.0 4. Facos Affecing Resoluion R N ( γ ) 4 γ sepaaion faco( s B A ) Doubling N ies incease in Rs

3-5. Why Band Speads? 3. So any facos influence band boadening. They e addiive σ obs σ + σ + σ 3 + σ i. Boadening ouside he colun When saple enes colun, hey ae aleady in finie widh hough ubing. Δ (in unis of ie), σ inj σde ) ( Δ To iniize, educe he dead space, ubing lengh ec 3-5. Why Band Speads? 3.. Plae Heigh equaion Van Deee Eq. B H A + + Cu u A: uliple pah e o eddy diffusion B: longiudinal diffusion C: ass ansfe Flow ae is ciical Changing colun, sp vaies packed colun: A, B, C 0 OTC: A 0 CE: AC0

3-5. Why Band Speads? 3.3 3. Longiudinal Diffusion Along he ais of colun Raise u σ H inceased D D u plae heigh due o L.D. H D σ L D u B u D : diff. coeff. of solue in MP 3-5. Why Band Speads? 3.4 4. Finie Equilibaion ie beween Phases : MASS TRANSFER Cu : finie ie fo solue o each Eq. plae heigh due o finie ie H Cu (C + C MT C s k' 3(k' + ) s d D s ) u C + 6k' + k' 4(k' + ) D : colun adius d: hickness of SP

3-5. Why Band Speads? 3.5 ass ansfe e can be deceased by T incease of T incease of D s To incease T, SP us be sable silica bases? Unsable ZO 3-5. Why Band Speads? 3.6 5. Muliple flow pah : Eddy diffusion, A e igh packing egula shape, spheical bee unifo size: salle he bee

3-5. Why Band Speads? 3.7 6. Advanage of Open Tubula Colun (OTC) In GC, OTC is used pefeenially - highe esoluion - shoe analysis ie - inceased sensiiviy - low saple capaciy OTC can be longe 00 ies han he packed a sae pessue - if H is he sae, N 0 ies Rs - no band boadening by uliple pahs - A e occupies ~half of H, upo ~30Ml/MIN. IF A is deleed, N is doubled - Needs o be sall adius 3-5. Why Band Speads? 3.8

3-5. Why Band Speads? 3.9 7. A Touch of Realiy: Asyeic band shapes ideal gaussian coes when K(C s /C ) is independen of concenaion bu in eal colun, K changes as C s, C incease band skewed i) Too uch solue loaded? oveloaded ii) When sall quan. of solue eained oe songly han lage quaniy ailing 3-5. Why Band Speads? 3.30 When silica sufaces (silanol) binds H-bond wih pola solue seious ailing Silanizaion: blocking uneaced hydoy goup wih TMS (iehylsilyl goup)