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2 Classical Analytical Techniques
Gravimetric Analysis — where the mass of product is used to calc the quantity of the og analyte, most accurate and precise
Volumetric Analysis — chemical procedure used for determining the concentration of a solution
In a titration, a reagent (titrant) is volumetrically measured to determine the amount needed to complete a chemical reaction with the analyte.
Types of Gravimetric Analysis
Precipitation Gravimetry: analyte of interest precipitated out following a chemical rxn
Electrogravimetry: final product is formed through electrodeposition
Volatilization Gravimetry: thermal or chemical energy is used to separate compounds so that their masses can be measured
Particulate Gravimetry: when the desired analyte is already part of the sol and can be separated out from the matrix
Steps of Gravimetry Analysis
The analyte is selectively converted to an insoluble form.
Sample prep → precipitation → digestion → collection of precipitate → drying
Precipitation
Steps to ensure max separation
An excess of precipitating agent is added
The sol should be cooled while filtering, solubility of most compounds decreases w/ decreased temp
Change the polarity of solv. polar salts precipitate in nonpolar solv and vice versa
Substance is pure, has known comp, easily filterable, & stable
Crystallization
Precipitation comes about from the growth of crystals after a precipitating agent has been added to sol. In precipitation process
Nucleation - min # of particles must come together to produce microscopic nuclei of solid particle
Higher [ ] of sol will promote rate of nucleation
Particle growth — nuclei will grow by depositing other precipitate particles to form a crystal. Technique to promote particle growth:
Increasing temp of sol to increase the solubility of sol and decrease supersaturation
Adding precipitant slowly to decrease formation of super-saturation pockets
Large sol V
Homogeneous Precipitate & Ionic compounds
In Precipitation process
In homogeneous precipitation, a precipitate is generated slowly by a chemical rxn.
Ionic compounds are usually precipitated in the presence of an electrolyte.
Digestion
Precipitation to stand in contact w// the mother liquid/supernatant for some period of time
Promotes slow recrystallization of the precipitate which allows particle size to increase and impurities to be expelled
Contamination of the precipitate can come about by two processes: co-precipitation and post-precipitation
Co-Precipitation
Can occur through adsorption — where impurity is bound to the surface of the crystal. Part of digestion process
occlusion - as particle grows in size, the impurities are enclosed in the crystal
inclusion — impurity occupies a site in the crystal lattice
To min co-precipitation: washing, recrystallization, digestion, method of addition of 2 reagents, and separation of the offending co-precipitant before precipitation
Post-precipitation
Part of Digestion process
Slow eq process
Occurs when precipitate is allowed to stand in contact w/ the supernatant & 2nd substance slowly forms a precipitate w/ the precipitation agent
Involves supersaturated impurity that crystallizes only after sol has been allowed to stand
If know that post-precipitation will occur, no digestion should be done
Collection of Precipitate
Once the precipitate has been formed, it needs to be separated from the supernatant. Different crucibles can be used to accomplish this. The two main types are sintered and porcelain
Sintered — small glass contained w/ fritted disc that separates precipitate from sol + vacuum pump
3 types: fine, medium and coarse
Heating is done in oven
Porcelain — solid w/ no filtering system so sample sol must be filtered using gravity filtration b/w transfer to porcelain
Heating is done in Meker burner
Product Composition
Part of collection of precipitate
If precipitate is hygroscopic — can absorb water form atmosphere.
Ignition (strong heating) is used to change the chemical form of some precipitates that do not have a constant comp after drying at moderate temps
Volumetric Titration
Equivalence point: the point at which the rxn is stoichiometry complete
End point: the point where a detectable change is observed
Detectable change: change in voltage, observing color change, and absorbance of light
Titration error: the diff b /w the end point and the equiv point
Blank titration: possible to estimate titration error w/ blank titration. It is when the titrant is added to a sol where is identical to the analyte sol but contains no analyte
Must be a single and well-defined rxn b/w analyte and titrant, Keq must be large (Keq » 1), and need to select method of end point detection as close to equivalent as possible
Classification of titrations - types + titrant
Types of rxns:
acid base: protons are transferred b/w analyte and titrant
oxidation: e- are transferred b/w analyte and titrant
complexometric: analyte and titrant combine to form stable complex ion
precipitations: ions in sol combine to form an insoluble precipitate
also called aregntoemtric titration
How the titrant is delivered
Direct titration: the titrant is directly added to the sol of analyte until end point is detected
Back titration: a known excess of titrant/reagent is added, the unreacted reagent is then titrated w/ a second sol of known [ ]
Primary vs Secondary Standard
Primary Standard — reagent that is pure enough to be weighed out and used directly to provide a known # of moles. The titrant is prepared from a 1 standard.
Secondary Standard — used as a the titrant. [ ] is determined w/ a 1 standard. The process where the true [ ] of a reagent is determined by reacting it w/ a known second reagent is known as standardization.
Requirements for a primary standard
Must be pure (99.9% or better)
Must be readily available
Should not decompose under ordinary storage conditions
Should be stable when dried by heating or vacuum - drying is required
Should not absorb atmospheric gases
Should have a high MW
Optimal requirements: should dissolve in water & completely dissociate in aq sol
Correct way to standardize if the titrant is the primary standard (solution we know the [ ] of):
Prime burette w/ primary standard
Transfer some of the 2nd standard to a clean, dry beaker
Use appropriate volumetric pipet to get an aliquot and transfer to 250 mL Erlenmeyer flask
Add some indicate and some DI water
Titrate to end point
Dispose of 2nd standard that was in the beaker, remix sol and then take a small amount again
Repeat steps 3-6 until there are at least 3 trials in agreement (+- 0.2 mL)
Correct way to standardize if the titrant is the secondary standard (solution we do not know the concentration of)
Prime burette w/ 2 standard
Transfer some of the 1 standard to a clean, dry beaker
Use appropriate volumetric pipet to get an aliquot and transfer to 250 mL Erlenmeyer flask
Add some indicate and some DI water
Titrate to end point
Dispose of 2nd standard that was in the beaker, remix sol and then take a small amount again
Repeat steps 3-6 until there are at least 3 trials in agreement (+- 0.2 mL)
Solubility Product (Ksp) & Common Ion Effect
Solubility Product (Ksp): The specific eq. constant for a rxn in which a solid salt dissolved to give its constitute ions in sol
solids are emitted
Common Ion Effect: salt is less soluble if one of its constituent ions is already present in sol, application fo le Chatelier’s Principle
Strong Acids and Strong Bases
Strong acids: HCl, HBr, HI, H2SO4, HNO3, HClO4
Strong bases: NaOH, LiOH, CsOH, KOH, RbOH, R4NOH
Protic vs Autoproteolysis vs Polyprotic
Protic: transfer of a proton (H+) b/w molecules
Autoproteolysis: self-ionization to act as acid or base
Polyprotic: compounds that can donate or accept more than one proton
Ionic Strength & Activities
Ionic Strength (u): measure of total [ ] of ions in sol
The eq constant does not take into effect the ionic strength on a chemical rxn. So, [ ] can be replaced w/ activities (A) - [ ] multiplied by its activity coefficient (opposite y)
As u goes up, y goes down
The smaller the ion size, the more important A effects become
Interpolate: estimate a # b/w 2 values on a table
Monoprotic Definitions
Weak acids/bases: react only ‘partially’ to produce H+ / OH-
Conjugate acid-base pairs: an acid & base that differ only through the loss or gain of a sing proton (conjugate base of WA is WB)
Formula [ ] (F): total # of mols of a compound dissolved in a liter
Zwitterion - molecule that contains an equal # of positive and negative charged functional groups
Buffers
Mixture of acid and base — there must be a comparable amount of conjugate acid and base to have buffering effect
If you mix A moles of WA w/ B moles of its conj. base, then the moles of acid remain close to A, and the moles of base remain close to B
little rxn occurs to change either [ ]
Isoionic Point vs Ioselectric Point pH
Isoionic Point: the pH produced by the pure, neutral, polyprotic acid
Isoelectric Point: the pH at which the avg charge of the polyprotic acid is 0
for a diprotic AA, the isoelectric pH is halfway b/w the 2 pKa values\
Utilized in 2D electrophoresis
Water Hardness
Titration 1: Red + EDTA → Blue
acquire known V of water sample; contains both Mg2+ and Ca2+
buffer to pH 10, then titrate w/ standardized EDTA
uses eriochrome black T and titrate from red to blue endpoint
total H2O hardness, [Ca2+] + [Mg2+] is known
Titration 2: Water + NaOH → Red + EDTA → Blue
Taken known V of water sample and add NaOH
Base reacts w/ Mg2+ to form Mg(OH)2, pH increases to 12
Use hydroxynapthol blue & titrate from red to blue endpoint
[Ca2+] via titration and [Mg2+] via subtraction
Volhard Titration
Type of precipitation titration
Indirect method & involves back titration
Excess AgNO3 is added to sample to precipitate halide
Precipitate filtered off & filtrate is kept
Fe indicator, titrated w/ SCN- to orange end point
One drop past equiv point gives red color
Fajans Titration
Type of precipitation titration
Discrete method for determining halides, uses adsorption dye (negative indicator)
before equiv point, there is excess halide
some halide ions will be adsorbed on surface of precipitate
surface change of particles is negative
after equiv point, there is excess of silver ions
some ions will adsorb onto precipitate
causes a positive surface charge
anionic dye adsorbed onto surface of particles & color changes
Yellow → Pink
Titration Curves
Typical Curve: pH vs V of titrant, end point is where slop is the greatest/ steepest
1st derivative plot: end point of titration is inflection point
2nd derivative plot: end point is b/w the positive and negative point
Gran plot: end point V is where y = 0
Complexometric Titrations
Complex - any species formed by the combo of 2+ similar species, that can also exist independently in sol
Most metal ions react w/ e- pair donors — ligands
Monodentate binds to metal ions through only 1 atom
Multidentate binds to metal ions through more than one atom — chelating ligands/agents
EDTA
Acid commonly used for complexometric titration
Hexadente ligation (6 potential binding sites)
All metal ions form 1:1 w/ EDTA
Neutral EDTA is tetraprotic, H4y
For titration to be effective, needs to go to completion which is affected by pH
There is a min pH needed for titration of metal ions to be complete (assuming 0.01 M EDTA)
2 common metal ion detectors: eriochrome black T & Xylenol orange
EDTA titration techniques
Direct Titration: analyte buffered to appropriate pH & when titrated w/ standard EDTA
Back Titration: excess EDTA is added to analyte, then excess EDTA is titrated w/ standard sol of metal ions
Displacement Titration: analyte titrated w/ excess Mg(EDTA)2-, which displaces Mg2+, which can then be titrated w/ EDTA standard
Indirect Titration: used for anions w/ excess metal ion, titration w/ excess EDTA, then back titrate EDTA w/ standard