CHEM SEP final 2 Flashcards
Moment Analysis (Method of Moments)
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Every distribution function (Gaussian or otherwise) has a set
of statistical moments characterizing its position and shape.
Go through The different variations you can have with moment analysis
Continuous vs discrete (summation vs integral),
Raw vs central moments (raw just alues as is, central is value - mean (make the mean the origin so the population is deviations from the mean); in raw moment the origin is the center
Population vs sample: sample is value /numebr of samples , population is integration over the function
REVIEW GUIDE FOR WHAT THESE LOOK LIKE
What are the 4 sample moments
Mean, variance, Skewness, kurtosis
4 sample moments how to write equations for each
Review how to write equations for each
How to interpret skewness?
0 - gaussian, > 0 is fronting (right side) and < 0 is tailing (left side)
How to interpret kurtosis?
excess = kurtosis - 3; gaussian is 3 , smallest is 1 (makes it a rectangle) - higher you go the more narrow (a measure of how flat)
GC can analyze compounds that are ..?
Voltalie or can be derivitized to become volatile
Parts of a GC system
: a gas source with pressure
and flow regulators, an injector, a column in an oven, a detector, and a
computer for data acquisition.
So GC using a compressible fluid means what
As we get a pressure drop (poissons/darcys law) - we get a density change - which means the gas expands (via Boyles law) - so this causes an increase of linear local velocity and local flow
In GC what determines the change in rate of velocity from inlet vs outlet
Ratio of Pressure in/Pressure out - the higher - the steeper the change close to end of column
Know how to derive pressure in out equation equation
Difference in GC velocity van deemter vs experiemntal
in van deemter it is average ; in experimental its at the outlet
What are 3 things that need to be corrected for , for experimental GC average flow rate/veloctiy measurement
1) pressure gradient drop (j) (multiply it by V out to get V average)
2) Temperature correction (Tc/Tout) because outlet is a lower temp causing reduction in flow rate (because measure outside of GC with bubble flowmeter)
3) Bubble flowmeter causes gas to be saturated with water so need to account for addition of pressure from water vapor (Pout - Pw/ Pout)
2 ways to determine average velocity in GC
Multiply measured velocity out by j, pressure correction factor and temp correction factor OR just use retention time (L/rt))
How is volume corrected for in GC
Similarly since based off flow and we know flow is affected - need correction terms j for compressibility , NET parameters are tr- tm, Vr - vm
What is corrected and NET volume in GC
So volume usually got by tr * F HOWVER F is affected in GC (F at outlet vs average) - so we need to adjust it instead of V = t * F it’s now V = t *j *F and this is now called corrected volume NET volume is uncorrected volume - corrected volume
What is specific retention volume
Specific retention volume is commonly used in GC to permit
inter-comparisons of retention of an analyte i in columns
containing different weights of the same stationary phase at
the same column temperature . Calculated as NET volume / weight of stationary phase multiplied by 273/ column temp
What is specific retention volume related to in thermodyanmic terms
on top R * 273 on Botton inverse with MW of stationary phase, the activity coefficient of analyte I in stationary phase and Vapor pressure of pure I in standard state (analyte I(
How is GC from other chromatographic methods in terms of retention
Not based on partition or seperation but on vapor pressure and volatility because the gaseous mobile phase is a lot more than concentration fo analyte and has a much lower density so we assume it doesn’t interact with the solute (especially incomparison to the stationary phase) - so K is dependant on temperature here
How is chemical potential split for GC
So depends on uio which is the same but then the dilution of entropy terms which inis activity term * concentration so when we consider this in the mobile phase of GC - we assume ideal gas so y =1 and the concentration is just the PARTIAL PRESSURE of component I
so this simplifies to u = uio + RTln(Pi)
What is selectivity in GC sepeartion based off of and why
Vapor pressure of sample components (when we do u - uio + RTln(C *y) in an ideal gas this just turns into partial pressure of analyte ; AND
Solute solvent interactions with Stationary phase
What is yis dependant on
PiM - partial vapor pressure of analyte ,, inversely related to MOLE FRACTION of I in SP and PiO - vapor pressure of pure component I at column temp
Distribution coefficeint in GC
(moles in SP / Weight SP) / (moles MP / corrected mobile phase volume) (in other words MOLALITY / MOLARITY)
No how to derive thermodynamics of retention showing that Specific retention volume depends on yis and Pio (inverse related)
What is yis and what are its values
activity coefficient of i in stationary phase - measure of influence of stationary solvent on vapor liquid equilibrium of I
if y= 1 SEPERATION ONLY RELATED TO DIFFERENCE IN VAPOR PRESSURES
if y< 1 vapor pressure is lower than that of ideal solution I - MEANS STRONG SOLVATION in SP
if y > 1 vapor pressure is HIGHER thanideal solute means SP solvation IS WEAK
in GC how does concetration relate to yis
kept low to keep yis constant across run
What is yis 2 contributors
Yent - athermal activity - from excess entropy changes in forming the solution that is in excess for an ideal solution
Yint - the thermal activity - assoc with enthalpy change due to molecular interactions (dipoles, H bonding etc) - MAJOR CONTRIBUTOR (h = RTln(yint)
What is the trouton rule
If solutes are not too polar can estimate enthalpy of evaporation as 22* boiling point
For our specific retetnion time related to boiling point equation - which assumptions must be true
Ideal solution, not too polar analyte and also if not ideal solution h (enthalpy of solute interactions) needs to vary consistent with Hv (enthalpy of evap of pure solvent)
What are good qualities of a carrier gas
oxygen free, moisture free, no hydrocarbon impuriteis and chemically inert
common carrier gases
N2, He, H2, Ar, O2 and CO2
Factors in choosing GC mobile phase
detector response (eg H2 and O2 as burner), efficiency and speed, stability, hazards , availability/expense
How does viscosity function in GC temp preogramming
As we increase temp - viscosity increases and average linear velocity decreases
What gas is best for capillary GC
H2 - for diffusivity and broad working range
Types of GC column
PACKED, - high stable
WCOT, -liquid -large sample capacity
SCOT, -liquid -large (but less sample capacity)
PLOT -solid - for adsoprtion - stable - less applications -
(wall coated, support coated and porous layer
Capillary vs Packed bed GC
Capillary is much more efficient
What is phase ratio and how does it effect GC van deemter
so GC van deemter - ratio fo SP vs MP - affects C term mass transfer - if THIN film - smaller plate height can be operated at higher velocities - but THICKER filmes increase retention sample capacity etc
In thin film columns talk about van deemter, maxes and what it means for u opt and hmin
SO van deemter for GC is NO A term no eddy - so just B/v + C * v
and we largely care about Cm
So UOPT = ROOT( B/C)
and Hmin = 2ROOT(BC)
These terms (B and C) respectively are:
B: 2Dm/V
and Cm is k * v (d^2)/Dm
So for uopt
it simplifies to Dm / d * root (K term)
and Hmin simplifies to
d* root ( k term)
SO as k is above 5 it rapidly approaches 1 so really just d or diameter that determines this
Good GC Sp characteristics
unreactive with carrier gas and solute, low vapor pressure and viscosity, good coating, solubility, wide temp operating range
Common stationary phase types in GC
non polar - hydro carbon and perfluorocarbon
polar - ether and esters
specially (high temp and chiral
How to choose SP based on retention index
LSER - or Kamlet TAFT parameters -
looks at
R2 - molar refraction
Dipolarity/polarizability
hydrogen bond acidity/basicity
and gas liquid partition coefficient for n - hexadecane
Also has system constants based on MP, SP and temp
gives you k
KOVATS RETENTION INDEX explain
uses n -alkanes to make a retetnion series
basically you have adjusted retention time and z is the carbon number of the lakane eluting before and z_1 the alkane eluting right after and gives you an index n#
Gives you I
McREYNOLDS -phase constants explain
measures retention indices of 5 compounds as a guide to interactions of SP (Butanol, pentanone, nitropropane benzene and pyridine, and compares YOUR SP to SQUALENE (subtract from squalene calculated value)
Gives you I - I squalene - which indicatespolarity of SP
3 ways to pick SP for GC and differences
Mcreynoalds, -properties of specific molecules
Kovaks and
TAFT KAMLET - uses solvatochromic params
what are GC PLOT colmns used for
seperating hydrocarbons - molecular sieves
What is desired in GC detetor
Tempreature range and short response time independant of flow rate are the majors (then typical things, sensitive, stable, reliable etc)
TCD detector (thermal conductive) describe function
measures thermal conductivity - sees if gas cools a hot filament -
Has large linear range, non destructive, faster response
disadvantages - effected by impurities and low sensitivity
FID - describe
unviersal
based of hydrogen air flame - burn our organics they release ions and electrons and current of those ions detected (proportional to concentration)
Specific for combustible(so no response from non combustible background gases like water, CO2, Noble)
linear dynamic range - sensitive
Problem L destructive
NPD describe it
specific for Nitrogen or phosphorosu containing
alkali metal (rubidium or cesium) vapor ignites the hydrogen and forms cold plasma
– this formation is increased in the presence of nitrogen and phosphorus containing compounds
ADVANTGES:
environmental and drug testing, doesn’t detect common carrier gas or impurities
LOD - sensitive more than FID
DISADVANTAGE _ destructive
specific
ECD describe it
based on electron capture by electronegative atoms in a moelucle
we have electorns produce by radioactive source makes a current we detect - if something electornegative swings by - takes some e- messes up current
ADVANTAGE - real sensitive and specific
DISADVANTAGE:
narrow dynamic range
Beneftis of LC vs GC
sample just needs to be soluble - more compounds
get selectivity across SP and MP
most detectors non destructie
BUT LC - has worse band broadening
Know the knonx equation
VAN DEEMTER BUt
include the x term Av^1/3 instead of justeddy diffusion
Whats dominan tvan deemter force in LC
STAGNANT MOBILE PHASE _ mass stransfer for SP - 3050% of H
What is total plate height in LC from
eddy, londituginal, mass transfer AND EXTRA COLUMN BAND BRAODENING - tubes, detector plumbing etc
What materials are used to increase pH range LC
Al2O3, TiO2, and ZrO2
What is HPLC SP bound to
Si-OH covalent bond
Why are columns generally bound at pH ranges and what can extend the range
Siloxane - bond hydrolyzes below pH 2
-BULKY ISOBUTLYLGROUPS - can protect it