Significant Figures and Errors in Measurements

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Questions and Answers

Why is analytical science important?

  • To develop new theories about matter
  • To explore the origins of matter
  • To develop and use instruments and methods to identify matter (correct)
  • To develop and use instruments and methods to create matter

What makes analytical chemistry a popular field of work?

  • Its emphasis on kinetic theory
  • Its focus on theoretical plate models
  • Its application in gas chromatography
  • Its instruments and methods for identifying matter (correct)

How do significant figures and decimal places help in measurements?

  • They introduce errors in measurements
  • They provide an exact measurement
  • They indicate measurement certainty (correct)
  • They change the nature of the measurement

What is the importance of providing units when measuring anything?

<p>It provides context and meaning to the measurement (A)</p> Signup and view all the answers

What is the significance of a unit when reporting a measurement?

<p>It conveys information about the measurement scale (A)</p> Signup and view all the answers

Why should we pay attention to errors in measurements?

<p>To improve measurement precision (B)</p> Signup and view all the answers

What is the purpose of stating errors in measurements?

<p>To provide an idea of how significant the result is (C)</p> Signup and view all the answers

How is precision related to random errors in measurements?

<p>Precision is limited by random errors (B)</p> Signup and view all the answers

What is the role of accuracy in measurements?

<p>To provide an idea of how close to the true value a measurement is (C)</p> Signup and view all the answers

How does chromatography differ from solvent extraction?

<p>In chromatography, one phase is stationary while the other moves past it (D)</p> Signup and view all the answers

What does a partition coefficient signify in chromatography?

<p>The ratio of concentrations of a solute in two phases at equilibrium (A)</p> Signup and view all the answers

How does precision relate to standard deviation in measurements?

<p>Precision is often described using standard deviation (D)</p> Signup and view all the answers

What is the classification of chromatography based on the physical properties of the analyte?

<p>Molecular characteristic (D)</p> Signup and view all the answers

In which type of chromatography does the competition occur between a liquid stationary phase and the mobile phase?

<p>Partition Chromatography (D)</p> Signup and view all the answers

What type of chromatography involves a competition between an ionic exchange resin stationary phase and liquid mobile phase?

<p>Ion Exchange Chromatography (D)</p> Signup and view all the answers

Which type of chromatography is associated with the acronym LC/HPLC?

<p>Liquid Column Ion-Exchange Chromatography (C)</p> Signup and view all the answers

In which type of chromatography does the mobile phase consist of gas?

<p>Gas-Solid Chromatography (C)</p> Signup and view all the answers

What is the principle of competition in Permeation Chromatography?

<p>Between a polymer matrix stationary phase and liquid mobile phase (A)</p> Signup and view all the answers

What is the principle of chromatography?

<p>Separation of components by distribution between mobile and stationary phases over time (A)</p> Signup and view all the answers

In chromatography, what is the mobile phase?

<p>The solvent moving through the plate or column (B)</p> Signup and view all the answers

Which type of chromatography involves large molecules being excluded?

<p>Size-exclusion Chromatography (D)</p> Signup and view all the answers

What is the purpose of preparative chromatography?

<p>Purify and collect one or more components of a sample for further use (D)</p> Signup and view all the answers

Which category of chromatography involves molecules interacting differently with the mobile and stationary phase?

<p>Partition Chromatography (A)</p> Signup and view all the answers

What is the term for a substance that is going to be separated in chromatography?

<p>Analyte (A)</p> Signup and view all the answers

In which type of chromatography is one kind of molecule in a mixture attached to a molecule covalently bound to the stationary phase?

<p>Affinity Chromatography (A)</p> Signup and view all the answers

What does ion-exchange chromatography primarily attract?

<p>Anions (C)</p> Signup and view all the answers

What does size-exclusion chromatography exclude?

<p>Small molecules (C)</p> Signup and view all the answers

What does an eluate refer to?

<p>The solvent flowing out after interacting with the stationary phase (D)</p> Signup and view all the answers

According to the Theoretical Plate Model of Chromatography, what are the separate layers within the chromatographic column called?

<p>Theoretical plates (C)</p> Signup and view all the answers

Who proposed the Rate Theory of Chromatography in 1956?

<p>Van Deemter (A)</p> Signup and view all the answers

What is the primary focus of the Kinetic Theory in chromatography?

<p>Separation dynamics (A)</p> Signup and view all the answers

In Gas Chromatography, what is the role of the mobile phase?

<p>Gas carrier (D)</p> Signup and view all the answers

What distinguishes Normal Phase Chromatography from Reverse Phase Chromatography?

<p>Stationary phase polarity (D)</p> Signup and view all the answers

Which theory of chromatography focuses on the concept that the chromatographic column contains multiple separate layers known as theoretical plates?

<p>Theoretical Plate Model (D)</p> Signup and view all the answers

How does an increase in the velocity of the mobile phase impact the band broadening in chromatography?

<p>Increases the band broadening (C)</p> Signup and view all the answers

According to the Van Deemter equation, what does the term 'u' represent?

<p>Average velocity of the mobile phase (A)</p> Signup and view all the answers

What is one of the main causes of band spreading in chromatography?

<p>Slow equilibration (B)</p> Signup and view all the answers

How does the Rate Theory of Chromatography differ from the Plate Model?

<p>It considers different paths available for solute molecules (B)</p> Signup and view all the answers

In chromatography, which term measures the ratio at which a substance moves randomly from a region of high concentration to a region of lower concentration?

<p>Diffusion coefficient (A)</p> Signup and view all the answers

Which factor contributes to band broadening in chromatography according to the Van Deemter equation?

<p>Average velocity of the mobile phase (C)</p> Signup and view all the answers

Which factor dominates at low flow rates and is more significant in gas chromatography compared to liquid chromatography?

<p>Longitudinal diffusion (C)</p> Signup and view all the answers

What aspect of chromatographic peak shape is affected by the rate of elution according to the Rate Theory of Chromatography?

<p>Width of the peak (D)</p> Signup and view all the answers

In Van Deemter's model, what does term C represent?

<p>Mobile phase mass transfer resistance (D)</p> Signup and view all the answers

In chromatography, what does the Van Deemter equation help us understand better?

<p>Band broadening mechanisms (A)</p> Signup and view all the answers

What causes broadening of the solute band in chromatography according to the text?

<p>Difference in paths due to varying lengths (B)</p> Signup and view all the answers

What does Cs stand for in Van Deemter's model and what does it represent?

<p>Stationary phase mass transfer, film thickness (C)</p> Signup and view all the answers

What does the plate height (H) represent in the Theoretical Plate Model?

<p>Length of the column required for each Mobile Phase/Stationary Phase equilibrium to be established (B)</p> Signup and view all the answers

In chromatography, what does the Distribution Constant (KC) denote?

<p>The ratio of solute concentrations in stationary and mobile phase (D)</p> Signup and view all the answers

What is the aim of varying solvent strength in chromatography?

<p>To increase the selectivity between components in a mixture (A)</p> Signup and view all the answers

What does the Separation Factor (α) describe in chromatography?

<p>The ability of experimental conditions to discriminate between two components (C)</p> Signup and view all the answers

What is the significance of Resolution (Rs) in chromatography?

<p>Describes the degree of separation of two adjacent bands (B)</p> Signup and view all the answers

How is the Number of Theoretical Plates (N) related to the plate height (H) in a chromatographic column?

<p>N = L/H; N is inversely proportional to H (D)</p> Signup and view all the answers

What is a limitation of the van Deemter theory in terms of comparison between different chromatographic techniques?

<p>It does not allow for comparison of resolution between different techniques. (C)</p> Signup and view all the answers

Which factor is not considered by the van Deemter theory when comparing different types of columns?

<p>Temperature fluctuations (A)</p> Signup and view all the answers

How do systems operating under different pressures compare according to the limitations of the van Deemter theory?

<p>They cannot be compared based on resolution. (D)</p> Signup and view all the answers

What does the Kinetic theory fail to consider regarding system changes?

<p>Viscosity changes (A)</p> Signup and view all the answers

In terms of efficiency, how does the Kinetic theory predict the change with mobile phase velocity?

<p>Efficiency decreases with increasing mobile phase velocity. (B)</p> Signup and view all the answers

What aspect does the Rate Theory by van Deemter focus on primarily?

<p>Dynamics of separation (C)</p> Signup and view all the answers

What modification is recommended if the Rf values in silica gel TLC are too high?

<p>Add 5-10% of hexane (B)</p> Signup and view all the answers

In two-dimensional TLC, after the first run, what is the next step before re-running the plate?

<p>Drying the plate (D)</p> Signup and view all the answers

What is the primary role of the layer in thin-layer chromatography (TLC)?

<p>Promoting physical sorption of solutes to the surface (D)</p> Signup and view all the answers

What does multiple TLC (unidimensional multiple development) aim to achieve?

<p>Increase resolution of components with Rf values below 0.5 (B)</p> Signup and view all the answers

How does varying the polarity of the mobile phase affect the separation in silica chromatography?

<p>Reduces retention time for polar solutes (B)</p> Signup and view all the answers

Which method is NOT a detection and visualization technique used in Thin-Layer Chromatography?

<p>Gas chromatography (C)</p> Signup and view all the answers

In thin-layer chromatography, why is alumina considered more basic than silica?

<p>Alumina has a higher partition coefficient (C)</p> Signup and view all the answers

In column chromatography, what pH range is typically used with silica as the stationary phase?

<p>pH 2-8 (D)</p> Signup and view all the answers

What is a characteristic feature that distinguishes reverse-phase silica from normal-phase silica in TLC?

<p>Presence of aliphatic hydrocarbons attached to silica (A)</p> Signup and view all the answers

What is the recommended particle diameter range when using silica in column chromatography?

<p>40-60 µm (A)</p> Signup and view all the answers

Why is thin-layer chromatography (TLC) not recommended for preparative work involving large sample quantities?

<p>Limited loading capacity (up to 10 mg) (B)</p> Signup and view all the answers

What impact does an increase in mobile phase polarity have on the chromatographic strength in silica chromatography?

<p>Increases chromatographic strength (A)</p> Signup and view all the answers

What property of the eluted solute can be detected directly in HPLC using a detector with a range of 1-1000 pg?

<p>Solute's mass (B)</p> Signup and view all the answers

Which chromatography technique requires the presence of a fluorophore for detection at concentrations between 1-10 pg?

<p>Fluorescence Chromatography (D)</p> Signup and view all the answers

What is the primary purpose of an electrochemical detector in HPLC?

<p>Detecting amperometric properties (B)</p> Signup and view all the answers

Which type of detector in HPLC is suitable for detecting solutes in the range of 100-1000 ng based on changes in refractive index?

<p>Refractive Index Detector (A)</p> Signup and view all the answers

At what concentration range can a UV/VIS detector operate effectively in HPLC for direct solute detection?

<p>0.1-1 ng (D)</p> Signup and view all the answers

What parameter is used to measure the adsorption energy per unit area of the solvent in chromatography?

<p>Solvent strength factor (C)</p> Signup and view all the answers

In Thin-Layer Chromatography (TLC), why is it important for all solutes to be moderately soluble in the mobile phase?

<p>To enhance resolution between solutes (C)</p> Signup and view all the answers

What is the key factor that determines if a solvent has the correct strength for the mobile phase in Thin-Layer Chromatography?

<p>Solvent's ability to move zones near the edge (C)</p> Signup and view all the answers

What is the recommended pore size range for packing materials when the analyte has a molecular weight above 10,000 MW?

<p>250 Ã… - 300 Ã… (B)</p> Signup and view all the answers

What action should be taken if single solvents do not provide adequate resolution in Thin-Layer Chromatography?

<p>Use a mixture of solvents (A)</p> Signup and view all the answers

In chromatography, what is the purpose of using larger particles (15-20 μm)?

<p>For preparative-scale separations (A)</p> Signup and view all the answers

What does the non-linear effect observed when mixing weak and strong solvents in chromatography highlight?

<p>The complexity of solvent-solute interactions (B)</p> Signup and view all the answers

What distinguishes gradient elution from isocratic elution in chromatography?

<p>Gradient elution allows varying hydrophobicity separations (B)</p> Signup and view all the answers

When should a packing material with a pore size of 100 Ã… or less be used?

<p>For samples below 3,000 MW (D)</p> Signup and view all the answers

What is the main advantage of using a 10 μm packing material in chromatography?

<p>Moderate column efficiencies (A)</p> Signup and view all the answers

What role does the molecular weight of an analyte play in choosing the appropriate pore size for packing material?

<p>Guides selection of pore size (D)</p> Signup and view all the answers

What type of mobile phase is used in gas chromatography?

<p>Gas (A)</p> Signup and view all the answers

In gas-liquid partition chromatography, what is the nature of the stationary phase?

<p>Non-volatile liquid (D)</p> Signup and view all the answers

What does the stationary phase in gas-solid adsorption chromatography directly interact with?

<p>Gaseous analyte (C)</p> Signup and view all the answers

What is the primary function of the carrier gas in gas chromatography?

<p>To separate different components (D)</p> Signup and view all the answers

What differentiates gas-liquid partition chromatography from gas-solid adsorption chromatography?

<p>Nature of stationary phase (C)</p> Signup and view all the answers

What happens to the analyte in gas-solid adsorption chromatography?

<p>Adsorbed on solid particles (A)</p> Signup and view all the answers

In Size Exclusion Chromatography (SEC), how are molecules separated?

<p>According to their shape (A)</p> Signup and view all the answers

What is another name for Size Exclusion Chromatography (SEC)?

<p>Molecular Exclusion Chromatography (A)</p> Signup and view all the answers

Which type of chromatography involves small molecules entering the pores of particles?

<p>Size Exclusion Chromatography (C)</p> Signup and view all the answers

What determines if a molecule will be attracted to an Anion-exchange resin in Ion-exchange Chromatography?

<p>Charge of the molecule (D)</p> Signup and view all the answers

What does Size Exclusion Chromatography (SEC) primarily aim to separate?

<p>Molecules by their size (B)</p> Signup and view all the answers

Which method of chromatography involves mobile ions being held near cations covalently attached to the stationary phase?

<p>Ion Exchange Chromatography (A)</p> Signup and view all the answers

What is the primary function of the stationary phase in size-exclusion chromatography?

<p>Separating molecules based on their size (C)</p> Signup and view all the answers

What is the impact of having a larger particle size in a size-exclusion chromatography column?

<p>Reduces resolution and increases flow rate (D)</p> Signup and view all the answers

What happens when particles with different pore sizes are mixed in a size-exclusion chromatography column?

<p>Improves both resolution and separation range (A)</p> Signup and view all the answers

What is the typical percentage of the total column volume occupied by the pores in size-exclusion chromatography?

<p>40% (B)</p> Signup and view all the answers

How does the resolution of molecules in size-exclusion chromatography change as the particle size decreases?

<p>Resolution increases and flow rate decreases (C)</p> Signup and view all the answers

Why does size-exclusion chromatography require long columns or multiple columns?

<p>To compensate for limited molecular size separation (C)</p> Signup and view all the answers

What is the role of anion exchangers in ion-exchange resins?

<p>Attract solute anions (D)</p> Signup and view all the answers

In ion-exchange selectivity, the selectivity coefficient K is calculated using the concentrations of which ions?

<p>[Na+] and [Li+] (B)</p> Signup and view all the answers

What kind of ions do ion exchangers generally favor the binding of?

<p>High charge, small hydrated radius, low polarizability (B)</p> Signup and view all the answers

What is the purpose of gradient elution in ion exchange processes?

<p>To cause a gradual increase in ionic strength (A)</p> Signup and view all the answers

What should be done to ensure the quality of the sample in size exclusion chromatography?

<p>Use a pre-column when in doubt (A)</p> Signup and view all the answers

What application is NOT typically associated with ion-exchange resins?

<p>Separation of non-ionic species (A)</p> Signup and view all the answers

How does increasing the concentration of anion C- impact the elution process in an ion exchange column?

<p>Anion B- gets displaced first (D)</p> Signup and view all the answers

How can a combination of packings with different separation ranges be achieved in size exclusion chromatography?

<p>By using columns of different porosity or mixed bed columns (A)</p> Signup and view all the answers

What is crucial for the chemical nature of column packing in chromatography?

<p>Coating the silica with a hydrophilic phase (B)</p> Signup and view all the answers

In which type of chromatography is retention based on the attraction between solute ions and charged sites bound to the stationary phase?

<p>Ion-exchange chromatography (A)</p> Signup and view all the answers

What did Benoit show in 1967 regarding the calibration for polymers of different types?

<p>A universal calibration curve is possible based on hydrodynamic volume (D)</p> Signup and view all the answers

What does the Universal Calibration Principle underestimate when analyzing polymers?

<p>Branching in polymers (B)</p> Signup and view all the answers

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Study Notes

Module Overview

  • Module CH3F2 consists of 24 lectures, 6 workshops, and a lab (33% of the module) and an exam (67% of the module)
  • Module leader: Mark Barrow

Preparing for the Exam/Revision

  • Lecture slides will be color-coded to indicate the importance of each topic:
    • Green: Must-know topics (basic material)
    • Yellow/Amber: Should-know topics (moderate material)
    • Red: Useful but not necessary to know (advanced material)

Chromatography Overview

  • Chromatography is a family of laboratory techniques used to separate, identify, and quantify the components of a mixture
  • It operates on the principle of distribution of components between a mobile phase and a stationary phase over time
  • Types of chromatography:
    • Based on stationary phase support:
      • Planar (thin layer chromatography, TLC)
      • Column
    • Based on the physical properties of the analyte:
      • Volatility (gas chromatography, GC)
      • Solubility (partition chromatography)
      • Adsorptivity (adsorption chromatography)
      • Charge (ion exchange chromatography)
      • Size (size-exclusion chromatography)
    • Based on the chromatographic principle:
      • Adsorption
      • Partition
      • Ion exchange
      • Permeation

Importance of Units and Significant Figures

  • Units are essential to provide meaning to measurement results
  • Significant figures and decimal places indicate the certainty of a measurement
  • Errors and significant figures are important to understand the reliability of a measurement result

Precision and Accuracy

  • Precision: how reproducible a measurement is
  • Accuracy: how close to the true value a measurement is
  • Errors can be classified as:
    • Random (affecting precision)
    • Systematic (affecting accuracy)

Chromatography Terminology

  • Analyte: substance being separated
  • Eluent: solvent used to move the analyte through the stationary phase
  • Eluate: the mixture of analyte and solvent that emerges from the column
  • Mobile phase: the phase that moves through the stationary phase
  • Stationary phase: the phase that is held in place
  • Chromatograph: the equipment used to perform chromatography
  • Chromatogram: the detector signal vs. retention time or volume

Theoretical Plate Model

  • Theoretical plate model: a concept used to measure column efficiency
  • Plate height (H or HETP): the length of column required for each mobile phase/stationary phase equilibrium to be established
  • Number of theoretical plates (N): the length of the column divided by the plate height
  • Theoretical plate model limitations:
    • Assumes infinitely fast equilibration
    • Does not account for the dynamics of the separation

Rate Theory of Chromatography

  • Proposed by van Deemter in 1956
  • Accounts for the dynamics of the separation
  • The Van Deemter equation for plate height (HETP) = A + B/u + Cu
  • B term: longitudinal diffusion
  • C term: resistance to mass transfer
  • HETP: the smaller the better, indicating a more efficient column

Kinetic Theory of Chromatography

  • Proposed by Giddings in 1965
  • Widely used in the last 10 years
  • Limitations of van Deemter's theory:
    • No allowance for comparison between different chromatographic techniques
    • No allowance for comparison between different types of columns
    • No consideration of viscosity changes with pressure/temperature system changes

Thin-Layer Chromatography (TLC)

  • Usually liquid/solid chromatography
  • Stationary phase: alumina or silica gel coated onto a flat surface
  • Mobile phase: solvents (usually fairly non-polar)
  • Microscale, rapid (10-20 min)
  • Not suitable for preparative work (10 mg max)
  • Choice of mobile phase for silica chromatography:
    • Vary polarity of mobile phase to increase or decrease time polar solutes spend on stationary phase
    • Chromatographic strength of solvent: how fast it moves analytes
    • Solvent strength parameter: εo = measure of adsorption energy / unit area of solvent### Thin-Layer Chromatography (TLC)
  • Ethyl acetate is a good solvent for silica gel TLC
  • To reduce polarity, add 5-10% hexane
  • To increase polarity, add 5-10% methanol
  • Adding a percentage of acetic acid or ammonia (or pyridine) can help maintain acidic or basic solutions and prevent tailing of zones

Two-Dimensional TLC

  • Used for examining complex mixtures
  • Plate is run in one direction, removed, dried, and then rotated 90° and run in another solvent
  • The line of partially resolved components from the first run becomes the origin for the second development

Multiple TLC (Unidimensional Multiple Development)

  • Increases resolution of components with Rf values below 0.5
  • After a single run, the plate is removed, partially dried, and then placed again in the same solvent and run in the same direction
  • Final Rf = 1 – (1 – Rf)n

Detection and Visualization

  • Self-absorption in UV (254 nm)
  • Fluorescence (UV excitation)
  • Iodine vapor (1% alcoholic solution or iodine crystals in a jar)
  • Charring reagents
  • Geiger counter for radioactive materials
  • Rhodamine B solution (50 mg/100 ml ethanol) for organic compounds
  • Spraying with water for lipophilic solutes (e.g., steroids)

Column Chromatography

  • Usually a preparative technique rather than analytical
  • Silica or alumina used as stationary phase
  • Particle diameter: 40-60 μm for silica, and 5 μm for alumina

Stationary Phase Pore Size

  • Affects separation efficiency
  • Choose pore size based on analyte molecular weight:
    • <3,000 MW: 100 Ã… or less
    • 3,000-10,000 MW: 100 Ã… - 130 Ã…
    • >10,000 MW (peptides and proteins): 300 Ã…

Mobile Phase Solvents

  • Normal phase: heptane, 1-chlorobutane, chloroform, methylene chloride, isopropyl ether, ethyl acetate
  • Reverse phase: methanol, acetonitrile, acetone, ethanol, 2-propanol, THF

Mobile Phase Elution

  • Isocratic: constant mobile phase composition
  • Gradient: changing mobile phase composition during analysis
  • Gradient elution: for mixtures with wide ranges of hydrophobicity

HPLC Detectors

  • UV/VIS (0.1-1 ng)
  • Fixed Variable (VWD)
  • Photodiode array (DAD)
  • FTIR (1mg)
  • Refractive Index (100-1000 ng)
  • Mass Spectrometry (1-1000 pg)
  • Conductivity (500-1000 ng)
  • ELSD (100-1000 pg)
  • Electrochemical (10-1000 pg)
  • Fluorescence (1-10 pg)

Gas Chromatography

  • Gaseous analyte transported through the column by a gaseous mobile phase (carrier gas)
  • Stationary phase: non-volatile liquid coated on the inside of the column or on a fine solid support
  • Types: gas-liquid partition chromatography and gas-solid adsorption chromatography

Types of Chromatography

  • Adsorption chromatography
  • Partition chromatography
  • Ion-exchange chromatography
  • Size-exclusion chromatography

Size Exclusion Chromatography (SEC)

  • Also called molecular exclusion chromatography, steric exclusion chromatography, gel filtration chromatography, or gel permeation chromatography
  • Separation based on molecular size
  • Stationary phase: cross-linked gels or porous silica
  • Pore size determines separation range
  • Columns: 7-8 mm diameter (analytical), 20-25 mm diameter (preparative)

Ion-Exchange Chromatography

  • Retention based on attraction between solute ions and charged sites bound to the stationary phase
  • Anion exchangers: positively charged groups on the SP attract solute anions
  • Cation exchangers: negatively charged sites attract solute cations
  • Ion-exchange resins: amorphous particles of organic material

Applications

  • Converting a salt into another
  • Pre-concentration of trace components of a solution
  • Purification of water
  • Separation of proteins

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