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📘 ANALYTICAL CHEMISTRY — COMPLETE NOTES
Units 1–4 | 2-Mark University Answers
🔷 UNIT – 1
1. Define Error
Error is the difference between the observed (measured) value and the true (actual) value of a quantity.
Formula: Error = Observed Value − True Value
Errors are unavoidable in analytical measurements and can be minimized but not completely eliminated.
2. Difference Between Primary and Secondary Standards
| Feature | Primary Standard | Secondary Standard |
|---|
| Purity | Very high (99.9%) | Less pure |
| Stability | Highly stable | Less stable |
| Preparation | Weighed directly and dissolved | Standardized against a primary standard |
| Storage | Long shelf life | May deteriorate with time |
| Example | Oxalic acid, Potassium dichromate, Sodium carbonate (Na₂CO₃) | NaOH, HCl, KMnO₄ |
3. Define Precision and Accuracy
-
Accuracy is the closeness of a measured value to the true value. It tells how correct a measurement is.
-
Precision is the closeness of repeated measurements to each other. It tells how reproducible or consistent a measurement is.
Key Point: A measurement can be precise without being accurate, but an accurate measurement is usually also precise.
Example: If the true value is 10 g:
- Values 10.1, 9.9, 10.0 → Accurate + Precise
- Values 8.1, 8.0, 8.2 → Precise but NOT Accurate
4. Define Significant Figures
Significant figures are all the certain digits plus one uncertain (estimated) digit in a measured value. They indicate the precision of a measurement.
Rules:
- All non-zero digits are significant (e.g., 245 → 3 significant figures)
- Zeros between non-zero digits are significant (e.g., 205 → 3 significant figures)
- Trailing zeros after a decimal point are significant (e.g., 2.50 → 3 significant figures)
- Leading zeros are NOT significant (e.g., 0.005 → 1 significant figure)
5. Define Molality and Mole Fraction
Molality (m):
The number of moles of solute dissolved in 1 kg (1000 g) of solvent.
Formula: m = Moles of solute / Mass of solvent (in kg)
- Unit: mol/kg
- It does not change with temperature (unlike molarity).
Mole Fraction (X):
The ratio of the number of moles of one component to the total number of moles of all components in a solution.
Formula: Xₐ = nₐ / (nₐ + n_b)
- It has no unit (dimensionless).
- Sum of mole fractions of all components = 1.
6. pH Range of Indicators
| Indicator | pH Range | Color Change |
|---|
| Methyl Orange | 3.1 – 4.4 | Red (acid) → Yellow (alkali) |
| Phenolphthalein | 8.3 – 10.0 | Colorless (acid) → Pink/Red (alkali) |
- Methyl Orange is used for strong acid vs. weak base titrations.
- Phenolphthalein is used for weak acid vs. strong base titrations.
7. Types of Errors with Examples
A. Determinate (Systematic) Errors
Errors with a definite cause that can be identified and corrected.
| Type | Example |
|---|
| Instrumental error | Uncalibrated balance or burette |
| Operational error | Incorrect reading of meniscus |
| Reagent error | Impure chemicals used |
B. Indeterminate (Random) Errors
Errors with no fixed cause; occur randomly and cannot be corrected.
- Example: Slight variations in temperature, reading a scale differently each time.
C. Gross Errors
Caused by human mistakes or negligence.
- Example: Recording 21.5 mL instead of 12.5 mL (transposition mistake).
🔷 UNIT – 2
1. What is Redox Titration?
Redox titration is a type of volumetric analysis based on an oxidation-reduction (redox) reaction between the titrant and the analyte. One substance is oxidized while the other is reduced simultaneously.
Example: Titration of FeSO₄ with KMnO₄ in acidic medium.
2. Define Oxidation and Reduction
| Term | Definition | Example |
|---|
| Oxidation | Loss of electrons / Increase in oxidation number | Fe²⁺ → Fe³⁺ + e⁻ |
| Reduction | Gain of electrons / Decrease in oxidation number | MnO₄⁻ + 5e⁻ → Mn²⁺ |
Mnemonic: OIL RIG — Oxidation Is Loss, Reduction Is Gain
3. What is Redox Potential?
Redox potential (E°) is the tendency of a substance to gain or lose electrons, expressed in volts (V). It measures the oxidizing or reducing power of a substance.
- A higher positive E° → strong oxidizing agent.
- A lower/negative E° → strong reducing agent.
- Standard hydrogen electrode (SHE) has E° = 0.00 V (reference).
4. What is Oxidation Number?
Oxidation number (oxidation state) is the hypothetical charge an atom would carry if the compound were made of ions.
Rules:
- Free elements = 0 (e.g., O₂, Fe)
- Monatomic ions = their charge (e.g., Na⁺ = +1)
- Oxygen = −2 (except in peroxides = −1)
- Hydrogen = +1 (except in metal hydrides = −1)
Example: In KMnO₄ → K = +1, O = −2 → Mn = +7
5. Applications of Redox Titration
- Permanganometry – Estimation of Fe²⁺, oxalic acid using KMnO₄
- Dichromatometry – Estimation of ferrous iron using K₂Cr₂O₇
- Iodometry – Estimation of Cu²⁺, reducing agents using I₂/Na₂S₂O₃
- Cerimetry – Estimation of Fe²⁺ using Ceric sulphate [Ce(SO₄)₂]
- Bromatometry – Estimation of As(III), Sb(III) using KBrO₃
6. One Theory of Acid-Base Indicator (Ostwald's Theory)
Ostwald's Ionic Theory states that an acid-base indicator is a weak acid or weak base that exists in two forms — ionized and un-ionized — which have different colors.
HIn ⇌ H⁺ + In⁻
(Color A) → (Color B)
- In acidic medium: Equilibrium shifts left → [HIn] increases → Color A dominates.
- In alkaline medium: Equilibrium shifts right → [In⁻] increases → Color B dominates.
Example (Phenolphthalein):
- HIn (un-ionized) = Colorless
- In⁻ (ionized) = Pink
7. Define Alkalimetry Titration
Alkalimetry is a type of acid-base titration in which a standard solution of a base (alkali) is used to determine the concentration of an unknown acid.
Example: Standardization of HCl using standard NaOH solution.
Alkali in burette + Acid in conical flask → Endpoint detected by indicator.
8. Define Normality and Molarity
| Term | Definition | Formula | Unit |
|---|
| Normality (N) | Number of gram equivalents of solute per litre of solution | N = Gram equivalents / Volume (L) | N (eq/L) |
| Molarity (M) | Number of moles of solute per litre of solution | M = Moles of solute / Volume (L) | M (mol/L) |
Relationship: Normality = Molarity × n-factor (valency factor)
9. What is a Weak Base?
A weak base is a base that is partially ionized (incompletely dissociates) in aqueous solution, producing a relatively small concentration of OH⁻ ions.
Example:
-
NH₄OH (Ammonium hydroxide): NH₄OH ⇌ NH₄⁺ + OH⁻ (partial)
-
Other examples: Pyridine (C₅H₅N), Aniline (C₆H₅NH₂)
Weak bases have a high pKb value and a low Kb value.
10. Types of Neutralization Indicators
Indicators used in acid-base (neutralization) titrations, classified by the type of reaction:
| Indicator | Color Change | Used For |
|---|
| Methyl Orange (pH 3.1–4.4) | Red → Yellow | Strong acid + Weak base |
| Methyl Red (pH 4.4–6.2) | Red → Yellow | Strong acid + Weak base |
| Phenolphthalein (pH 8.3–10.0) | Colorless → Pink | Weak acid + Strong base |
| Litmus (pH 6–8) | Red → Blue | Strong acid + Strong base |
| Bromothymol Blue (pH 6–7.6) | Yellow → Blue | Strong acid + Strong base |
🔷 UNIT – 3
1. What is Precipitation Titration?
Precipitation titration is a type of volumetric analysis in which the titrant reacts with the analyte to form an insoluble precipitate. The endpoint is detected when no more precipitate forms.
Most common type: Argentometry — uses AgNO₃ as the titrant.
Example: Estimation of Cl⁻ ions using AgNO₃:
Ag⁺ + Cl⁻ → AgCl↓ (white precipitate)
2. What is Non-Aqueous Titration?
Non-aqueous titration is a type of acid-base titration carried out in a non-aqueous solvent (not water) instead of water as the medium.
It is used for substances that are:
- Insoluble in water
- Too weak to be titrated in water
- Easily hydrolyzed in water
Example: Titration of weak bases (like alkaloids) in acetic acid solvent.
3. Principle of Non-Aqueous Titration
The principle is based on the leveling and differentiating effect of solvents:
- Leveling effect: A solvent that makes all bases appear equally strong (e.g., water levels strong bases).
- Differentiating effect: A solvent that maintains the difference in strengths of acids/bases, allowing selective titration.
In glacial acetic acid (protogenic solvent), weak bases become stronger and can be titrated with perchloric acid (HClO₄) as the titrant.
Weak Base + HClO₄ (in glacial acetic acid) → Salt + Reaction detected by indicator
4. Solvents Used in Non-Aqueous Titration
| Type | Examples | Use |
|---|
| Protogenic (acidic) | Glacial acetic acid, Formic acid | Titration of weak bases |
| Protophilic (basic) | Pyridine, Ethylenediamine | Titration of weak acids |
| Aprotic (neutral) | Acetone, Chloroform, Benzene, DMSO | Titration of very weak acids/bases |
| Amphiprotic | Ethanol, Methanol | Intermediate properties |
Most commonly used: Glacial acetic acid with HClO₄ as titrant.
5. Define Fajans' Rules
Fajans' rules explain the conditions under which a compound is ionic or covalent (and also predict adsorption of indicators in precipitation titrations). In the context of precipitation titrations:
Fajans' method uses adsorption indicators (e.g., fluorescein, eosin). The indicator is adsorbed on the surface of the precipitate.
Key rules by Fajans:
- Small cation + large anion = more covalent character (greater ionic polarization)
- High ionic charge = more polarization = more covalent
- Cation with pseudo-noble gas configuration (18 electrons) polarizes more
In titration context (Fajans' method):
- Before endpoint: Cl⁻ ions adsorb on AgCl → precipitate is white
- After endpoint: Ag⁺ ions + fluorescein indicator adsorb → precipitate turns pink/red
6. Volhard's and Modified Volhard's Method of Estimation
Volhard's Method:
- Used for estimation of Ag⁺ ions (back titration).
- Titrant: Ammonium thiocyanate (NH₄SCN)
- Indicator: Ferric alum [Fe³⁺ / Fe(NH₄)(SO₄)₂]
- Reaction:
Ag⁺ + SCN⁻ → AgSCN↓ (white precipitate)
- Endpoint: Excess SCN⁻ reacts with Fe³⁺ → forms blood-red FeSCN²⁺ complex
Modified Volhard's Method:
- Used for estimation of halide ions (Cl⁻, Br⁻, I⁻) indirectly.
- Procedure:
- Add excess AgNO₃ to precipitate AgX (halide).
- Filter or mask the AgX precipitate with nitrobenzene (prevents re-dissolution).
- Titrate excess Ag⁺ with standard NH₄SCN using ferric alum as indicator.
- Why nitrobenzene? AgCl is more soluble than AgSCN, so without coating it with nitrobenzene, the SCN⁻ would dissolve AgCl, giving a false result.
🔷 UNIT – 4
1. Different Methods of Complexometric Titration
Complexometric titrations involve the formation of stable soluble complexes between a metal ion and a complexing agent (usually EDTA).
Methods:
| Method | Description | Example |
|---|
| Direct titration | Metal ion titrated directly with EDTA | Estimation of Ca²⁺, Mg²⁺, Zn²⁺ |
| Back titration | Excess EDTA added, then excess titrated with standard metal solution | Used when reaction is slow or no indicator available |
| Indirect titration | Metal ion precipitated, precipitate dissolved, then titrated | Estimation of SO₄²⁻, PO₄³⁻ |
| Replacement (substitution) titration | Metal displaces another metal from its EDTA complex | Used for metals that react slowly with EDTA |
| Alkalimetric titration | H⁺ ions released during complexation titrated with NaOH | Less common |
2. What are Masking and Demasking Agents?
Masking Agent:
A substance added to a solution to prevent a particular ion from reacting with the titrant (EDTA), without physically removing it, so that another ion can be selectively estimated.
Example:
- KCN masks Cu²⁺, Zn²⁺, Ni²⁺ → allows Ca²⁺ and Mg²⁺ to be estimated
- Triethanolamine (TEA) masks Al³⁺ and Fe³⁺
Demasking Agent:
A substance that reverses the masking effect, releasing the previously masked ion so it can be titrated.
Example:
- Formaldehyde demasks Zn²⁺ from its CN⁻ complex (Zn(CN)₄²⁻ → Zn²⁺ released)
- Chloral hydrate is another demasking agent
3. What are Sequestering Agents? Give Examples.
Sequestering agents are substances that combine with metal ions to form stable, soluble, water-soluble complexes, thereby preventing the metal ion from showing its normal reactions (like precipitation or interference).
They "hide" the metal ion in a complex so it cannot react with other substances.
Examples:
| Sequestering Agent | Metal Ion Sequestered |
|---|
| EDTA (Ethylenediaminetetraacetic acid) | Ca²⁺, Mg²⁺, Fe³⁺, Cu²⁺ |
| Citric acid | Ca²⁺, Mg²⁺ |
| Sodium hexametaphosphate (Calgon) | Ca²⁺, Mg²⁺ (water softening) |
| NTA (Nitrilotriacetic acid) | Heavy metal ions |
Application: Used in water softening, food preservation, pharmaceuticals, and metal cleaning.
4. What are Chelating and Complexing Agents?
Complexing Agent:
Any substance that can donate one or more lone pairs of electrons to a central metal ion to form a coordinate complex.
- It may donate one pair (monodentate) or multiple pairs (multidentate).
- Example: NH₃, CN⁻, Cl⁻ (monodentate); EDTA (hexadentate)
Chelating Agent:
A special type of complexing agent that has two or more donor groups in the same molecule and forms a ring structure (chelate ring) with the metal ion.
- The word "chelate" comes from Greek chele = claw (like a crab claw gripping the metal).
- They form very stable complexes due to the chelate effect.
Examples of Chelating Agents:
| Agent | Donor Atoms | Denticity |
|---|
| EDTA | N, O | Hexadentate |
| Oxalic acid | O, O | Bidentate |
| Acetylacetone | O, O | Bidentate |
| Ethylenediamine (en) | N, N | Bidentate |
| DMSA (dimercaptosuccinic acid) | S, S | Bidentate |
Key Difference:
| Feature | Complexing Agent | Chelating Agent |
|---|
| Donor groups | One or more | Two or more (in same molecule) |
| Ring formation | No | Yes (chelate ring) |
| Stability | Less stable | More stable |
| Example | NH₃, CN⁻ | EDTA, oxalic acid |
💡 Exam Tip: For 2-mark answers, write a clear definition + one formula/example. For high-yield marks, add a comparison table or a reaction equation wherever possible — examiners appreciate structured, concise answers.