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DP IB Chemistry: HL

Revision Notes

Home / IB / Chemistry: HL / DP / Revision Notes / 1. Stoichiometric Relationships / 1.2 Reacting Masses & Volumes / 1.2.9 Titrations


1.2.9 Titrations


Titrations

  • Volumetric analysis is a process that uses the volume and concentration of one chemical reactant (a standard solution) to determine the concentration of another unknown solution
  • The technique most commonly used is a titration
  • The volumes are measured using two precise pieces of equipment, a volumetric or graduated pipette and a burette

Equipment used to measure volumes precisely in titrations

  • Burettes are usually marked to a precision of 0.10 cm3
    • Since they are analogue instruments, the uncertainty is recorded to half the smallest marking, in other words to ±0.05 cm3

  • The end point or equivalence point occurs when the two solutions have reacted completely and is shown with the use of an indicator

The steps in a titration

  • The steps in a titration are:
    • Measuring a known volume (usually 20 or 25 cm3) of one of the solutions with a volumetric or graduated pipette and placing it into a conical flask
    • The other solution is placed in the burette
    • A few drops of the indicator are added
    • The tap on the burette is carefully opened and the solution added, portion by portion, to the conical flask until the indicator just changes colour
    • Multiple trials are carried out until concordant results are obtained

Recording and processing titration results

  • Both the initial and final burette readings should be recorded and shown to a precision of  ±0.05 cm3, the same as the uncertainty

A typical layout and set of titration results

  • The volume delivered (titre) is calculated and recorded to an uncertainty of ±0.10 cm3
    • The uncertainty is doubled, because two burette readings are made to obtain the titre (V final – V initial), following the rules for propagation of uncertainties (you can find more about this in Topic 11)

  • Concordant results are then averaged, and non-concordant results are discarded
    • Concordance is usually considered to be a consistency of ±0.05 between results, depending on the quality of the burette

  • The calculation then follows the steps given in 1.2.8 Concentration calculations

Exam Tip

When performing titration calculations using monoprotic acids (meaning one H+) such as HCl, the number of moles of the acid and alkali will be the same. This allows you to use the relationship

C1V1 =C2V2

where C1 and V1 are the concentration and volume of the acid and C2 and V2 are the concentration and volume of the alkali. There is no need to convert the units of volume to dm3 as this is a ratio.Simply re-arrange the formula to solve for the unknown quantity.

Worked Example

A 0.675 g sample of a solid acid, HA, was dissolved in distilled water and made up to 100.0 cm3 in a volumetric flask. 25.0 cm3 of this solution was titrated against 0.100 mol dm-3 NaOH solution and 12.1 cm3 were required for complete reaction.Determine the molar mass of the acid.

Answer:

Step 1: Write the equation for the reaction:

                                    HA (aq) + NaOH (aq) → NaA (aq) + H2O (l)

Step 2: Calculate the number of moles of the NaOH

Step 3: Deduce the number of moles of the acid

Since the acid is monoprotic the number of moles of HA is also 1.21 x 10-3 mol

This is present in 25.0 cm3 of the solution

Step 4: Scale up to find the amount in the original solution

Step 5: Calculate the molar mass

Back titration

  • A back titration is a common technique used to find the concentration or amount of an unknown substance indirectly
  • The principle is to carry out a reaction with the unknown substance and an excess of a further reactant such as an acid or an alkali
  • The excess reactant, after reaction, is then analysed by titration and the mole ratios are used to deduce the moles or concentration of the original substance being analysed

Worked Example

The percentage by mass of calcium carbonate, CaCO3, in a sample of marble was determined by adding excess hydrochloric acid to ensure that all the calcium carbonate had reacted. The excess acid left was then titrated with aqueous sodium hydroxide. A student added 27.20 cm3 of 0.200 mol dm-3 HCl to 0.188 g of marble. The excess acid required 23.80 cm3 of 0.100 mol dm-3 NaOH for neutralization. Calculate the percentage of calcium carbonate in the marble.

Answer:

Step 1: Write the equation for the titration reaction:

HCl (aq) + NaOH (aq) → NaCl (aq) + H2O (l)

Step 2: Calculate the number of moles of the NaOH

n(NaOH) = 0.02380 dm3 x 0.100 mol dm-3 = 2.380 x 10-3 mol

Step 3: Deduce the number of moles of the excess acid

Since the reacting ratio is 1:1 the number of moles of HCl is also 2.380 x 10-3 mol

Step 4: Find the amount of HCl in the original solution and then the amount reacted

n(HCl)original =  0.02720 dm3 x 0.200 mol dm-3 = 5.440 x 10-3 mol

n(HCl)reacted =  5.440 x 10-3 mol – 2.380 x 10-3 mol = 3.060 x 10-3 mol

Step 5: Write the equation for the reaction with the calcium carbonate

2HCl (aq) + CaCO3 (s) →  CaCl2 (aq) + CO2 (g) + H2O (l)

Step 6: Deduce the number of moles of the calcium carbonate that reacted

Since the reacting ratio is 2:1 the number of moles of CaCO3 is (3.060 x 10-3 mol) ÷ 2

                                    n(CaCO3) = 1.530 x 10-3 mol

Step 7: Calculate the mass of calcium carbonate in the sample of marble

mass = moles x molar mass = 1.530 x 10-3 mol x 100.09 g mol-1 = 0.1531g

Step 8: Calculate the percentage of calcium carbonate in the marble

Exam Tip

Rounding off when you take averagesWhen you have an average of burette readings that comes to three decimal places, e.g.(23.20 cm3 + 23.25 cm3) ÷ 2 = 23.225 cm3You CANNOT show more than two decimal places because that would make the average more precise than the readings. To manage this situation you need to follow a simple rule. If the last digit is between a 5 and 9 then you round up; if the digit is between 0 and 4 you round down.So in this case the value recorded would be 23.23 cm3



  • 1. Stoichiometric Relationships
    • 1.1 Matter, Chemical Change & the Mole Concept
      • 1.1.1 Elements, Compounds & Mixtures
        • 1.1.2 Equations
          • 1.1.3 State Changes
            • 1.1.4 The Mole Concept
              • 1.1.5 Moles-Mass Problems
                • 1.1.6 Empirical Formulae
                • 1.2 Reacting Masses & Volumes
                  • 1.2.1 Reacting Masses
                    • 1.2.2 Reaction Yields
                      • 1.2.3 Avogadro's Law & Molar Gas Volume
                        • 1.2.4 The Ideal Gas Equation
                          • 1.2.5 Gas Law Relationships
                            • 1.2.6 Real Gases
                              • 1.2.7 Standard Solutions
                                • 1.2.8 Concentration Calculations
                                  • 1.2.9 Titrations
                                • 2. Atomic Structure
                                  • 2.1 Atomic & Electronic Structure
                                    • 2.1.1 The Nuclear Atom
                                      • 2.1.2 Deducing Subatomic Particles
                                        • 2.1.3 Relative Atomic Mass Calculations
                                          • 2.1.4 The Electromagnetic Spectrum
                                            • 2.1.5 Emission Spectra
                                              • 2.1.6 Energy Levels & Sublevels
                                                • 2.1.7 Sublevels & Orbitals
                                                  • 2.1.8 Writing Electron Configurations
                                                • 3. Periodicity
                                                  • 3.1 The Periodic Table & Periodic Trends
                                                    • 3.1.1 The Periodic Table
                                                      • 3.1.2 Periodic Trends: Physical - Atomic & Ionic Radius
                                                        • 3.1.3 Periodic Trends: Physical - Ionisation Energy
                                                          • 3.1.4 Periodic Trends: Physical - Electron Affinity
                                                            • 3.1.5 Periodic Trends: Physical - Electronegativity
                                                              • 3.1.6 Periodic Trends: Chemical
                                                              • 3.2 Oxides, Group 1 & Group 17
                                                                • 3.2.1 Periodic Trends: Oxides Across a Period
                                                                  • 3.2.2 Periodic Trends: Group 1 - The Alkali Metals
                                                                    • 3.2.3 Periodic Trends: Group 17 - The Halogens
                                                                  • 4. Chemical Bonding & Structure
                                                                    • 4.1 Ionic & Covalent Bonding
                                                                      • 4.1.1 Forming Ions
                                                                        • 4.1.2 Ionic Compounds
                                                                          • 4.1.3 Formulae & Names of Ionic Compounds
                                                                            • 4.1.4 Covalent Bonds
                                                                              • 4.1.5 Bond Polarity
                                                                                • 4.1.6 Lewis Structures
                                                                                • 4.2 Resonance, Shapes & Giant Structures
                                                                                  • 4.2.1 Resonance Structures
                                                                                    • 4.2.2 Shapes of Molecules
                                                                                      • 4.2.3 Predicting Molecular Shapes
                                                                                        • 4.2.4 Molecular Polarity
                                                                                          • 4.2.5 Giant Covalent Structures
                                                                                          • 4.3 Intermolecular Forces & Metallic Bonding
                                                                                            • 4.3.1 Types of Intermolecular Forces
                                                                                              • 4.3.2 Deducing Intermolecular Forces
                                                                                                • 4.3.3 Properties of Covalent Compounds
                                                                                                  • 4.3.4 Metallic Bonding
                                                                                                    • 4.3.5 Trends in Melting Points of Metals
                                                                                                      • 4.3.6 Alloys & their Properties
                                                                                                    • 5. Energetics/ Thermochemistry
                                                                                                      • 5.1 Energetics
                                                                                                        • 5.1.1 Energy Changes in Reactions
                                                                                                          • 5.1.2 Standard Enthalpy Change
                                                                                                            • 5.1.3 Calorimetry
                                                                                                              • 5.1.4 Calorimetry Experiments
                                                                                                              • 5.2 Hess's Law
                                                                                                                • 5.2.1 Hess's Law
                                                                                                                  • 5.2.2 Using Hess's Law - Cycles
                                                                                                                    • 5.2.3 Using Hess's Law - Equations
                                                                                                                      • 5.2.4 Using ∆Hf° to Find Enthalpy Changes
                                                                                                                      • 5.3 Bond Enthalpy
                                                                                                                        • 5.3.1 Bond Enthalpy
                                                                                                                          • 5.3.2 Bond Enthalpy Calculations
                                                                                                                            • 5.3.3 Energy Profiles
                                                                                                                              • 5.3.4 Case Study: Ozone
                                                                                                                            • 6. Chemical Kinetics
                                                                                                                              • 6.1 Chemical Kinetics
                                                                                                                                • 6.1.1 Collision Theory
                                                                                                                                  • 6.1.2 Rate of Reaction
                                                                                                                                    • 6.1.3 Measuring Rates
                                                                                                                                      • 6.1.4 Activation Energy
                                                                                                                                        • 6.1.5 Rate Experiments
                                                                                                                                          • 6.1.6 Explaining Rates
                                                                                                                                            • 6.1.7 Maxwell-Boltzmann Curves
                                                                                                                                              • 6.1.8 Energy Profiles & Catalysis
                                                                                                                                            • 7. Equilibrium
                                                                                                                                              • 7.1 Equilibrium
                                                                                                                                                • 7.1.1 The State of Equilibrium
                                                                                                                                                  • 7.1.2 The Equilibrium Law
                                                                                                                                                    • 7.1.3 Equilibrium Constant Relationships
                                                                                                                                                      • 7.1.4 The Reaction Quotient
                                                                                                                                                        • 7.1.5 Le Chatelier's Principle
                                                                                                                                                          • 7.1.6 Catalysts & Equilibrium
                                                                                                                                                        • 8. Acids & Bases
                                                                                                                                                          • 8.1 Theories & Reactions of Acids & Bases
                                                                                                                                                            • 8.1.1 Brønsted–Lowry Acids & Bases
                                                                                                                                                              • 8.1.2 Conjugate Acid-Base Pairs
                                                                                                                                                                • 8.1.3 Characteristic Reactions of Acids
                                                                                                                                                                  • 8.1.4 Neutralization
                                                                                                                                                                  • 8.2 More About Acids
                                                                                                                                                                    • 8.2.1 Acid-base Titrations
                                                                                                                                                                      • 8.2.2 pH & [H⁺]
                                                                                                                                                                        • 8.2.3 Interpreting pH
                                                                                                                                                                          • 8.2.4 The Ionic Product of Water
                                                                                                                                                                            • 8.2.5 Acid-Base Calculations
                                                                                                                                                                              • 8.2.6 pH Meters & Universal Indicator
                                                                                                                                                                                • 8.2.7 Strong & Weak Acids & Bases
                                                                                                                                                                                  • 8.2.8 Comparing Strong & Weak Acids
                                                                                                                                                                                  • 8.3 Acid Deposition
                                                                                                                                                                                    • 8.3.1 Acid Deposition
                                                                                                                                                                                      • 8.3.2 Effects of Acid Deposition
                                                                                                                                                                                        • 8.3.3 Reducing Sulfur Oxide Emissions
                                                                                                                                                                                      • 9. Redox Processes
                                                                                                                                                                                        • 9.1 Redox Processes
                                                                                                                                                                                          • 9.1.1 Oxidation & reduction
                                                                                                                                                                                            • 9.1.2 Deducing Oxidation Numbers
                                                                                                                                                                                              • 9.1.3 Oxidizing & Reducing agents
                                                                                                                                                                                                • 9.1.4 Naming Transition Metal Compounds
                                                                                                                                                                                                  • 9.1.5 Half Equations
                                                                                                                                                                                                    • 9.1.6 The Activity Series
                                                                                                                                                                                                      • 9.1.7 Redox Titrations
                                                                                                                                                                                                        • 9.1.8 The Winkler Method
                                                                                                                                                                                                          • 9.1.9 Voltaic Cells
                                                                                                                                                                                                            • 9.1.10 Electrolytic Cells
                                                                                                                                                                                                          • 10. Organic Chemistry
                                                                                                                                                                                                            • 10.1 Fundamentals of Organic Chemistry
                                                                                                                                                                                                              • 10.1.1 Homologous Series
                                                                                                                                                                                                                • 10.1.2 Understanding Organic Molecules
                                                                                                                                                                                                                  • 10.1.3 Nomenclature
                                                                                                                                                                                                                    • 10.1.4 Organic Families - Hydrocarbons
                                                                                                                                                                                                                      • 10.1.5 Organic Families - Halogenoalkanes
                                                                                                                                                                                                                        • 10.1.6 Organic Families - Alcohols & Ethers
                                                                                                                                                                                                                          • 10.1.7 Organic Families - Carbonyls
                                                                                                                                                                                                                            • 10.1.8 Organic Families - Carboxylic Acids & Esters
                                                                                                                                                                                                                              • 10.1.9 Organic Families - Organic Nitrogen Compounds
                                                                                                                                                                                                                                • 10.1.10 3-D modelling
                                                                                                                                                                                                                                  • 10.1.11 Primary, Secondary & Tertiary atoms
                                                                                                                                                                                                                                    • 10.1.12 Benzene
                                                                                                                                                                                                                                    • 10.2 Functional Group Chemistry
                                                                                                                                                                                                                                      • 10.2.1 Alkanes - Combustion
                                                                                                                                                                                                                                        • 10.2.2 Alkanes - Halogenation
                                                                                                                                                                                                                                          • 10.2.3 Alkenes - Reactivity
                                                                                                                                                                                                                                            • 10.2.4 Alkenes - Hydrogenation
                                                                                                                                                                                                                                              • 10.2.5 Alkenes - Halogenation
                                                                                                                                                                                                                                                • 10.2.6 Alkenes - Hydrohalogenation
                                                                                                                                                                                                                                                  • 10.2.7 Alkenes - Hydration
                                                                                                                                                                                                                                                    • 10.2.8 Addition Polymers
                                                                                                                                                                                                                                                      • 10.2.9 Alcohols - Combustion
                                                                                                                                                                                                                                                        • 10.2.10 Alcohols - Oxidation
                                                                                                                                                                                                                                                          • 10.2.11 Alcohols - Esterification
                                                                                                                                                                                                                                                            • 10.2.12 Halogenoalkanes
                                                                                                                                                                                                                                                              • 10.2.13 Reactions of Benzene
                                                                                                                                                                                                                                                            • 11. Measurements & Data Processes
                                                                                                                                                                                                                                                              • 11.1 Spectroscopic Identification
                                                                                                                                                                                                                                                                • 11.1.1 Index of Hydrogen Deficiency
                                                                                                                                                                                                                                                                  • 11.1.2 Mass Spectrometry
                                                                                                                                                                                                                                                                    • 11.1.3 Nuclear Magnetic Resonance Spectroscopy
                                                                                                                                                                                                                                                                      • 11.1.4 Infrared Spectroscopy
                                                                                                                                                                                                                                                                      • 11.2 Synoptic Data Handling & Graphical Skills
                                                                                                                                                                                                                                                                        • 11.2.1 Recording Data
                                                                                                                                                                                                                                                                          • 11.2.2 Processing Errors
                                                                                                                                                                                                                                                                            • 11.2.3 Reducing the Impact of Errors
                                                                                                                                                                                                                                                                              • 11.2.4 Percentage Error
                                                                                                                                                                                                                                                                                • 11.2.5 Drawing Graphs
                                                                                                                                                                                                                                                                                  • 11.2.6 Analysing Graphs
                                                                                                                                                                                                                                                                                • 12. HL Atomic Structure
                                                                                                                                                                                                                                                                                  • 12.1 Electrons in Atoms
                                                                                                                                                                                                                                                                                    • 12.1.1 Emission Spectra & First Ionisation Energy
                                                                                                                                                                                                                                                                                      • 12.1.2 Ionisation Energy Trends
                                                                                                                                                                                                                                                                                    • 13. HL The Periodic Table- Transition Metals
                                                                                                                                                                                                                                                                                      • 13.1 Transition Metals
                                                                                                                                                                                                                                                                                        • 13.1.1 Transition Elements
                                                                                                                                                                                                                                                                                          • 13.1.2 Variable Oxidation States
                                                                                                                                                                                                                                                                                            • 13.1.3 Complex Ions
                                                                                                                                                                                                                                                                                              • 13.1.4 Catalytic & Magnetic Properties
                                                                                                                                                                                                                                                                                                • 13.1.5 Colour in Transition Metals
                                                                                                                                                                                                                                                                                                  • 13.1.6 Factors Affecting Colour
                                                                                                                                                                                                                                                                                                • 14. HL Chemical Bonding & Structure
                                                                                                                                                                                                                                                                                                  • 14.1 More Structures & Shapes
                                                                                                                                                                                                                                                                                                    • 14.1.1 Covalent Bonds
                                                                                                                                                                                                                                                                                                      • 14.1.2 More Lewis Structures
                                                                                                                                                                                                                                                                                                        • 14.1.3 Further VSEPR Theory
                                                                                                                                                                                                                                                                                                          • 14.1.4 Formal Charge
                                                                                                                                                                                                                                                                                                          • 14.2 Further Aspects of Bonding
                                                                                                                                                                                                                                                                                                            • 14.2.1 Delocalisation & Resonance
                                                                                                                                                                                                                                                                                                              • 14.2.2 Ozone Revisited
                                                                                                                                                                                                                                                                                                                • 14.2.3 Hybrid Orbitals
                                                                                                                                                                                                                                                                                                              • 15. HL Energetics / Thermochemistry
                                                                                                                                                                                                                                                                                                                • 15.1 Energy Cycles
                                                                                                                                                                                                                                                                                                                  • 15.1.1 Key Enthalpy Terms
                                                                                                                                                                                                                                                                                                                    • 15.1.2 Born-Haber Cycles
                                                                                                                                                                                                                                                                                                                      • 15.1.3 Born-Haber Cycle Calculations
                                                                                                                                                                                                                                                                                                                        • 15.1.4 Dissolution Energy Cycles
                                                                                                                                                                                                                                                                                                                          • 15.1.5 Energy Changes in Aqueous Solutions
                                                                                                                                                                                                                                                                                                                          • 15.2 Entropy & Spontaneity
                                                                                                                                                                                                                                                                                                                            • 15.2.1 Entropy
                                                                                                                                                                                                                                                                                                                              • 15.2.2 Calculating Entropy Change
                                                                                                                                                                                                                                                                                                                                • 15.2.3 Gibbs Free Energy
                                                                                                                                                                                                                                                                                                                                  • 15.2.4 Spontaneous Reactions
                                                                                                                                                                                                                                                                                                                                    • 15.2.5 Free Energy & Equilibrium
                                                                                                                                                                                                                                                                                                                                  • 16. HL Chemical Kinetics
                                                                                                                                                                                                                                                                                                                                    • 16.1 Rate Expression & Reaction Mechanism
                                                                                                                                                                                                                                                                                                                                      • 16.1.1 Rate Equations
                                                                                                                                                                                                                                                                                                                                        • 16.1.2 Rate Constants
                                                                                                                                                                                                                                                                                                                                          • 16.1.3 Graphical Representations
                                                                                                                                                                                                                                                                                                                                            • 16.1.4 Rate Determining Step
                                                                                                                                                                                                                                                                                                                                              • 16.1.5 Mechanism Problems
                                                                                                                                                                                                                                                                                                                                              • 16.2 Activation Energy
                                                                                                                                                                                                                                                                                                                                                • 16.2.1 The Arrhenius Equation
                                                                                                                                                                                                                                                                                                                                                  • 16.2.2 Graphing the Arrhenius Equation
                                                                                                                                                                                                                                                                                                                                                    • 16.2.3 Activation Energy from Rate Constants
                                                                                                                                                                                                                                                                                                                                                  • 17. HL Equilibrium
                                                                                                                                                                                                                                                                                                                                                    • 17.1 The Equilibrium Law
                                                                                                                                                                                                                                                                                                                                                      • 17.1.1 Applying the Equilibrium Law
                                                                                                                                                                                                                                                                                                                                                        • 17.1.2 Gibbs Free Energy & the Equilibrium Constant
                                                                                                                                                                                                                                                                                                                                                      • 18. HL Acids & Bases
                                                                                                                                                                                                                                                                                                                                                        • 18.1 Further Aspects of Acids & Bases
                                                                                                                                                                                                                                                                                                                                                          • 18.1.1 Lewis Theory
                                                                                                                                                                                                                                                                                                                                                            • 18.1.2 pH Curves
                                                                                                                                                                                                                                                                                                                                                              • 18.1.3 Indicators
                                                                                                                                                                                                                                                                                                                                                                • 18.1.4 Buffers
                                                                                                                                                                                                                                                                                                                                                                  • 18.1.5 Salt Hydrolysis
                                                                                                                                                                                                                                                                                                                                                                  • 18.2 Calculations Involving Acids & Bases
                                                                                                                                                                                                                                                                                                                                                                    • 18.2.1 Acid & Base Dissociation Constants
                                                                                                                                                                                                                                                                                                                                                                      • 18.2.2 Acid & Base Problem Solving
                                                                                                                                                                                                                                                                                                                                                                    • 19. HL Redox Processes
                                                                                                                                                                                                                                                                                                                                                                      • 19.1 Electrochemical Cells
                                                                                                                                                                                                                                                                                                                                                                        • 19.1.1 Electrochemical Cells
                                                                                                                                                                                                                                                                                                                                                                          • 19.1.2 The Standard Hydrogen Electrode
                                                                                                                                                                                                                                                                                                                                                                            • 19.1.3 Electrolysis of Aqueous Solutions
                                                                                                                                                                                                                                                                                                                                                                              • 19.1.4 Quantitative Electrolysis
                                                                                                                                                                                                                                                                                                                                                                                • 19.1.5 Free Energy & Eº
                                                                                                                                                                                                                                                                                                                                                                                  • 19.1.6 Electroplating
                                                                                                                                                                                                                                                                                                                                                                                • 20. HL Organic Chemistry
                                                                                                                                                                                                                                                                                                                                                                                  • 20.1 Types of Organic Reactions
                                                                                                                                                                                                                                                                                                                                                                                    • 20.1.1 Nucleophilic Substitution Reactions
                                                                                                                                                                                                                                                                                                                                                                                      • 20.1.2 Electrophilic Addition Reactions
                                                                                                                                                                                                                                                                                                                                                                                        • 20.1.3 Electrophilic Substitution Reactions
                                                                                                                                                                                                                                                                                                                                                                                          • 20.1.4 Reduction Reactions
                                                                                                                                                                                                                                                                                                                                                                                          • 20.2 Synthetic Routes
                                                                                                                                                                                                                                                                                                                                                                                            • 20.2.1 Synthesis
                                                                                                                                                                                                                                                                                                                                                                                            • 20.3 Stereoisomerism
                                                                                                                                                                                                                                                                                                                                                                                              • 20.3.1 Stereoisomers
                                                                                                                                                                                                                                                                                                                                                                                                • 20.3.2 Cis-Trans & E/Z Isomers
                                                                                                                                                                                                                                                                                                                                                                                                  • 20.3.3 Optical Isomers
                                                                                                                                                                                                                                                                                                                                                                                                • 21. Measurement & Analysis
                                                                                                                                                                                                                                                                                                                                                                                                  • 21.1 Spectroscopic Identification of Organic compounds
                                                                                                                                                                                                                                                                                                                                                                                                    • 21.1.1 High Resolution NMR
                                                                                                                                                                                                                                                                                                                                                                                                      • 21.1.2 X-Ray Crystallography
                                                                                                                                                                                                                                                                                                                                                                                                        • 21.1.3 Structure Identification Problems
                                                                                                                                                                                                                                                                                                                                                                                                      Stewart Hird

                                                                                                                                                                                                                                                                                                                                                                                                      Author: Stewart

                                                                                                                                                                                                                                                                                                                                                                                                      Stewart has been an enthusiastic GCSE, A Level and IB Chemistry teacher for more than 30 years in the UK as well as overseas, and has been an examiner for IB and A Level, also. As a long-standing Head of Department, Stewart brings a wealth of experience to creating Topic Questions and revision materials for Save My Exams.


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