Q.When a chromite ore (A) is fused with sodium carbonate in free excess of air and the product is dissolved in water, a yellow solution of compound (B) is obtained. After treatment of this yellow solution with sulphuric acid, compound (C) can be crystallised from the solution. When compound (C) is treated with KCl, orange crystals of compound (D) crystallise out. Identify A to D and also explain the reactions.
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🔒 Start your 14-day free trial to unlock the full solution →Concept understanding — Inorganic Synthesis
Inorganic Synthesis – What It Really Means
Imagine you want to build a house. You need bricks, cement, steel, and a plan to put them together. Inorganic synthesis is exactly that — but for making chemical compounds that do not contain carbon-hydrogen bonds (the domain of organic chemistry). You take simple starting materials (elements or simple compounds) and, through a controlled chemical reaction, build a more complex inorganic product.
The intuition is simple: you are a chemist-craftsman. You decide what to make, choose the right ingredients, set the right conditions (temperature, pressure, solvent, time), and then isolate the pure product. The "synthesis" part is the entire journey from idea to pure substance.
The Precise Statement
Inorganic synthesis is the branch of chemistry concerned with the design, planning, and execution of chemical reactions to prepare inorganic compounds — including metals, alloys, coordination complexes, main-group compounds, solid-state materials, and nanomaterials — with controlled purity, structure, and properties.
It is not just "mixing chemicals." It involves:
- Choosing the correct starting materials (precursors) — often simple salts, oxides, or elements.
- Selecting a reaction method — solid-state heating, solution precipitation, electrochemical deposition, sol-gel, hydrothermal, etc.
- Controlling reaction conditions — temperature, pressure, pH, concentration, atmosphere (inert gas, air, vacuum).
- Purifying the product — recrystallization, distillation, sublimation, chromatography.
- Characterising the product — proving you actually made what you intended (X-ray diffraction, spectroscopy, elemental analysis).
A Concrete Example: Making Copper(II) Sulfate Pentahydrate
You want to make the familiar blue crystal, CuSOX4⋅5HX2O.
Intuition: You have copper metal (a wire) and dilute sulfuric acid. Copper does not react with dilute acid directly — you need an oxidising agent. So you add nitric acid or simply heat copper with concentrated sulfuric acid.
Reaction:
Cu+2HX2SOX4(conc⋅)CuSOX4+SOX2+2HX2O
Then you evaporate the solution carefully. Blue crystals of CuSOX4⋅5HX2O appear.
What you did: You synthesised an inorganic compound from elemental copper and an acid. You controlled the concentration, temperature, and evaporation rate. You then filtered and dried the crystals.
Why It Matters
Inorganic synthesis is the foundation of:
- Catalysts (e.g., Pt on alumina for car exhausts)
- Electronic materials (silicon wafers, gallium arsenide for LEDs)
- Medicinal compounds (cisplatin for cancer therapy)
- Pigments (titanium dioxide white, Prussian blue)
- Batteries (lithium cobalt oxide electrodes)
Without inorganic synthesis, modern technology would not exist.
A Common Misconception …
Why this formula?
Inorganic Synthesis: Why the Key Formulae Hold
Inorganic synthesis is the branch of chemistry concerned with the preparation of inorganic compounds — from simple salts to complex coordination compounds, organometallics, and solid-state materials. The key formulae in this field are not arbitrary; they arise from fundamental principles of stoichiometry, thermodynamics, kinetics, and coordination chemistry.
Let’s break down the reasoning behind the most important formulae.
1. The Yield Formula: Why It’s Not Just “Product/Reactant”
The most basic formula in any synthesis is:
Percentage Yield=Theoretical YieldActual Yield×100%
Why this holds:
- Theoretical yield is calculated from the limiting reagent — the reactant that runs out first. This is based on the law of conservation of mass and the stoichiometric coefficients from the balanced chemical equation.
- Actual yield is always less than theoretical because of:
- Side reactions (competing pathways)
- Incomplete reactions (equilibrium limitations)
- Loss during purification (filtration, crystallization, etc.)
- The formula is a ratio because yield is a fractional measure of efficiency — it tells you how much of the maximum possible product you actually obtained.
Key insight: The formula works only if you correctly identify the limiting reagent. For example, in the synthesis of FeClX3 from Fe and ClX2, if you have 1 mol Fe and 2 mol ClX2, Fe is limiting (1:1.5 stoichiometry), so theoretical yield is based on Fe.
2. The Atom Economy Formula: Why It Measures “Greenness”
Atom Economy=Sum of Molecular Masses of All ReactantsMolecular Mass of Desired Product×100%
Why this holds:
- This formula was introduced by Barry Trost (1991) to quantify how much of the starting materials ends up in the product.
- It is not a yield — it’s a theoretical maximum based on the balanced equation. It assumes 100% yield.
- The denominator includes all reactants (including solvents if they are consumed, but usually only stoichiometric reagents).
- A high atom economy (e.g., 100% for addition reactions like A+BC) means less waste. A low atom economy (e.g., substitution reactions with leaving groups) means more byproducts.
Example: In the synthesis of NaCl from Na and ClX2:
2Na+ClX2→2NaCl
Atom economy = 2×22.99+70.902×58.44×100%=100% — because all atoms end up in the product.
3. The Solubility Product and Precipitation: Why Ksp Controls Synthesis
For a sparingly soluble salt like AgCl:
AgCl(s)AgX+(aq)+ClX−(aq)
Ksp=[AgX+][ClX−]
Why this holds:
- Ksp is an equilibrium constant derived from the law of mass action. It applies only to saturated solutions.
- In synthesis, you use Ksp to predict whether a precipitate will form when mixing solutions. If the ion product Q=[AgX+][ClX−] exceeds Ksp, precipitation occurs.
- The formula is temperature-dependent (because ΔG∘=−RTlnKsp). So you must control temperature to control precipitation.
Reasoning: The equilibrium constant arises from the balance between the lattice energy (holding the solid together) and the hydration energy (stabilizing ions in solution). A very small Ksp means the solid is very stable — useful for gravimetric synthesis.
4. The Coordination Number and Ligand Field Stabilization Energy (LFSE)
For an octahedral complex, the LFSE is:
LFSE=(−0.4×nt2g+0.6×neg)Δo
Why this holds:
- This formula comes from crystal field theory (CFT). In an octahedral field, the five d orbitals split into two sets: the lower-energy t2g (three orbitals) and the higher-energy eg (two orbitals).
- The splitting energy Δo is the energy difference between these sets.
- Electrons fill the t2g orbitals first (Hund’s rule), and each electron in t2g stabilizes the complex by −0.4Δo relative to the barycenter (average energy). Each electron in eg destabilizes by +0.6Δo.
- The formula explains why certain coordination numbers are preferred: for example, [Co(HX2O)X6]X2+ (high-spin d7) has LFSE = −0.8Δo, while [CoClX4]X2− (tetrahedral) has a smaller LFSE — so the octahedral form is more stable. …
Concept: Inorganic Synthesis — Extraction of chromium from chromite ore via alkali fusion and conversion to dichromate.
Step 1 — Fusion of chromite ore (A) with Na2CO3 in air
Chromite is FeCr2O4 (A). On fusion with excess air, chromium(III) is oxidised to chromium(VI):
4FeCr2O4+8Na2CO3+7O2→2Fe2O3+8Na2CrO4+8CO2
The yellow solution contains sodium chromate, Na2CrO4 (B).
Step 2 — Acidification to obtain dichromate
Adding H2SO4 shifts the chromate–dichromate equilibrium:
2Na2CrO4+H2SO4→Na2Cr2O7+Na2SO4+H2O
On crystallisation, sodium dichromate dihydrate, Na2Cr2O7⋅2H2O (C), is obtained. …
The chromite ore (A) is FeCr2O4. Fusion with Na2CO3 in air oxidises chromium to yellow sodium chromate (B). Acidification converts chromate to orange dichromate (C), and treatment with KCl precipitates orange potassium dichromate (D). The final answer is: A = FeCr2O4, B = Na2CrO4, C = Na2Cr2O7, D = K2Cr2O7.
The key to this problem is understanding the stepwise oxidation and conversion of chromium from its ore to a commercially important compound. Chromite is the primary source of chromium, and the entire sequence is a classic industrial route to potassium dichromate.
Let’s walk through the chemistry.
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Identify the ore (A). Chromite ore is a mixed oxide of iron(II) and chromium(III), with the formula FeCr2O4 (often written as FeO⋅Cr2O3). This is the only major chromium ore, so A is unmistakably chromite.
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Fusion with sodium carbonate in air. When chromite is fused with Na2CO3 in a free excess of air, a high-temperature oxidation occurs. The purpose is to convert insoluble chromium(III) into soluble chromium(VI). The reaction is:
4FeCr2O4+8Na2CO3+7O2→8Na2CrO4+2Fe2O3+8CO2
Here, each chromium(III) (Cr3+) is oxidised to chromium(VI) in the chromate ion (CrO42−). The iron(II) is oxidised to iron(III) as Fe2O3, which is insoluble. The yellow colour of the solution after dissolving the fused mass in water comes from the chromate ion — so compound B is sodium chromate, Na2CrO4.
A common mistake is to think the product is dichromate directly. But in alkaline conditions (due to excess Na2CO3), the stable species is chromate, not dichromate. The yellow colour confirms chromate.
- Acidification to get compound (C). When the yellow solution of sodium chromate is treated with sulphuric acid, the pH drops. In acidic medium, chromate ions dimerise to form dichromate ions:
2CrO42−+2H+⇌Cr2O72−+H2O
The equilibrium shifts to the right, and the solution turns orange. Upon crystallisation, we obtain sodium dichromate, Na2Cr2O7⋅2H2O (or the anhydrous form). So C is sodium dichromate. …
Here is the clear solution method for this inorganic synthesis problem.
Method: Reaction Pathway Deduction (Oxidation State Tracking)
This method works by tracking the change in oxidation states of the central metal atom (chromium) through each step, using known industrial and laboratory reactions.
Step 1: Identify Ore (A) from the starting material.
- The ore is chromite. Its formula is FeCrX2OX4 (or FeO⋅CrX2OX3).
- Why? Chromite is the only commercial ore of chromium. It contains chromium in the +3 oxidation state.
Step 2: Identify Compound (B) from the fusion reaction.
- Reaction: Fusing chromite with NaX2COX3 in excess air.
- Process: This is the fusion step of the industrial extraction of chromium. The air oxidizes CrX3+ to CrX6+.
- Product: The yellow solution of compound (B) is sodium chromate.
- Formula: NaX2CrOX4
- Color: Yellow (due to the chromate ion, CrOX4X2−).
- Balanced Equation:
4FeCrX2OX4+8NaX2COX3+7OX2→8NaX2CrOX4+2FeX2OX3+8COX2
Step 3: Identify Compound (C) from acidification.
- Reaction: Treating the yellow NaX2CrOX4 solution with HX2SOX4.
- Process: Acidification converts the yellow chromate ion (CrOX4X2−) into the orange dichromate ion (CrX2OX7X2−). This is an equilibrium shift.
- Product: The crystallized compound (C) is sodium dichromate.
- Formula: NaX2CrX2OX7 ⋅2HX2O (usually crystallizes as a dihydrate).
- Color: Orange-red.
- Balanced Equation: …
Here are the common mistakes students make on this classic inorganic synthesis problem, along with the correct conceptual approach to avoid them.
Mistake 1: Confusing the Ore (A) with a Simple Oxide
- The Mistake: Students often write the ore as Cr2O3 (chromium(III) oxide). While chromite contains Cr2O3, the ore itself is a mixed oxide.
- Why it’s wrong: The exam expects the mineral formula, not just the metal oxide. Writing Cr2O3 ignores the iron content, which is crucial for balancing the fusion reaction.
- How to Avoid: Memorize the exact formula of the chief ore of chromium: FeCr2O4 (or FeO⋅Cr2O3). Think of it as "Iron Chromite."
Mistake 2: Forgetting the Role of Air (Oxygen) in the Fusion
- The Mistake: Writing the fusion reaction as a simple acid-base reaction without including O2.
- Wrong: FeCr2O4+Na2CO3→Na2CrO4+...
- Why it’s wrong: The fusion is an oxidation process. Chromium goes from +3 (in the ore) to +6 (in the product). Without oxygen from the air, this oxidation cannot happen.
- How to Avoid: Always write the balanced equation including O2 as a reactant. The key is to oxidize Cr3+ to Cr6+.
- Correct: 4FeCr2O4+8Na2CO3+7O2→8Na2CrO4+2Fe2O3+8CO2
Mistake 3: Misidentifying the Yellow Solution (B)
- The Mistake: Thinking the yellow solution is Na2Cr2O7 (sodium dichromate).
- Why it’s wrong: The fusion product is dissolved in water. In neutral/alkaline aqueous solution, chromium(VI) exists as the yellow chromate ion (CrO42−), not the orange dichromate (Cr2O72−).
- How to Avoid: Remember the pH-dependent equilibrium:
- Alkaline/Neutral: 2CrO42− (Yellow) ⇌Cr2O72− (Orange) + H2O
- Acidic: Equilibrium shifts to the right (orange).
- Therefore, (B) is Na2CrO4 (Sodium chromate).
Mistake 4: Confusing the Order of Acidification and Crystallization
- The Mistake: Thinking that adding H2SO4 directly gives the orange crystals (D).
- Why it’s wrong: Compound (C) in this scheme is the sodium dichromate that crystallises from the acidified solution -- not the sodium sulfate by-product of the same reaction. (C) is then treated with KCl to get (D).
- How to Avoid: Trace the steps carefully.
- Acidify (B): 2Na2CrO4+H2SO4→Na2Cr2O7+Na2SO4+H2O. The solution now contains sodium dichromate.
- Crystallize (C): The acidified solution is evaporated/crystallised — (C) is Na2Cr2O7 (sodium dichromate, usually obtained as the dihydrate), the orange compound the question asks you to identify at this step.
- Treat with KCl: The remaining solution of Na2Cr2O7 is treated with KCl. This is a metathesis (double displacement) reaction.
- Na2Cr2O7+2KCl→K2Cr2O7+2NaCl …
- TG EAPCET 2025Set eng-2025-05-02-FN1 markMCQQ.(CH3)3CHKMnO4XCu 573KY The number of sp3 and sp2 carbons in Y are respectively (A) 3, 1 (B) 1, 3 (C) 2, 2 (D) 4, 0
›Reveal solutionSolution
The reaction sequence oxidises isobutane to tert-butyl alcohol, then dehydrates it to isobutylene; Y has two sp³ and two sp² carbons, so the answer is (C).
The key is to track the carbon skeleton through two transformations. The starting molecule is isobutane, (CH3)3CH. The first step uses hot KMnO4, a strong oxidising agent. The second step uses copper at 573 K, a classic dehydration condition for alcohols.
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Identify the starting compound and the first reaction.
Isobutane has a tertiary carbon (the CH group) and three methyl groups. Hot KMnO4 oxidises alkanes at the most substituted carbon, converting a C–H bond to a C–OH bond. So the product X is tert-butyl alcohol: (CH3)3C−OH.
Why this works: The tertiary C–H is the weakest, so it’s attacked first; permanganate inserts oxygen.
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Determine the second reaction.
Passing an alcohol over copper at 573 K (about 300 °C) causes dehydration. For a tertiary alcohol like tert-butyl alcohol, elimination is very easy — it loses water to form an alkene. The only possible alkene here is isobutylene (2-methylpropene): (CH3)2C=CH2.
Why this works: Tertiary alcohols dehydrate via an E1 mechanism; the carbocation intermediate is stable, and the most substituted alkene (Saytzeff product) forms.
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Count the hybridisation in Y (isobutylene).
Draw the structure:
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- TG EAPCET 2025Set eng-2025-05-04-FN1 markMCQQ.Composition of siderite ore is (A) CuCO3.Cu(OH)2 (B) FeCO3 (C) CuFeS2 (D) ZnCO3
›Reveal solutionSolution
Siderite is an iron carbonate ore. Its chemical formula is FeCO3, which corresponds to option (B).
The question asks for the composition of siderite ore. This is a straightforward recall from metallurgy — the study of how metals are extracted from their ores. Each ore has a distinct chemical identity, and siderite is one of the common iron ores.
The key idea: ores are naturally occurring minerals from which metals are extracted. Iron ores include hematite (Fe2O3), magnetite (Fe3O4), limonite (Fe2O3⋅3H2O), and siderite. The name "siderite" comes from the Greek word for iron, sideros, which hints at its composition.
Let’s go through the options one by one.
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Option (A): CuCO3⋅Cu(OH)2
This is malachite, a copper ore. The dot here indicates a hydrated or basic carbonate — copper carbonate combined with copper hydroxide. Not siderite.
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Option (B): FeCO3
This is iron(II) carbonate. Siderite is indeed ferrous carbonate. It forms in sedimentary environments and is an important but less common iron ore. The iron is in the +2 oxidation state.
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Option (C): CuFeS2 …
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- TG EAPCET 2024Set eng-2024-05-10-FN1 markMCQQ.Consider the following reactions Cs + O2 (excess) → X Cs + O2 (limited) → X Na + O2 → Y Identify the correct statement about X and Y (A) Y is monoxide and X is superoxide (B) Y is peroxide and X is peroxide (C) Y is peroxide and X is superoxide (D) Y is superoxide and X is peroxide
›Reveal solutionSolution
The key idea is that alkali metals form different oxides depending on their size and the oxygen supply: larger metals (like Cs) form superoxides, while smaller metals (like Na) form peroxides. The correct option is (C).
The relevant concept here is the trend in oxide formation among alkali metals. As you go down Group 1, the metal cation becomes larger and less polarizing. This stabilizes larger, more complex oxygen anions:
- Small Li forms only the normal oxide (O²⁻).
- Na forms the peroxide (O₂²⁻) under normal conditions.
- K, Rb, and Cs form superoxides (O₂⁻) because the large cation stabilizes the big superoxide ion. Also, excess vs. limited oxygen doesn’t change the product for Cs — it always forms the superoxide.
Let’s work through it step by step:
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Identify the product for Cs with oxygen
Cesium is the largest alkali metal. Its cation (Cs⁺) is very large and has low charge density, which stabilizes the large superoxide ion (O₂⁻).
- With excess O₂: Cs + O₂ → CsO₂ (superoxide).
- With limited O₂: Cs still forms CsO₂ because the superoxide is the most stable oxide for Cs. So X = superoxide.
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Identify the product for Na with oxygen
Sodium is smaller than Cs. Its cation (Na⁺) has a higher charge density, which stabilizes the peroxide ion (O₂²⁻) better than the superoxide.
- Na + O₂ → Na₂O₂ (peroxide). So Y = peroxide.
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Match with the options …
- TG EAPCET 2023Set ap-2023-05-10-FN1 markMCQQ.Match the following List-I (Ore name) A. Calamine B. Copper pyrites C. Zincite D. Malachite List-II (Type of ore) I. Oxide II. Sulphide III. Carbonate-hydroxide IV. Carbonate The correct answer is (A) A – II, B – I, C – IV, D – III (B) A – IV, B – III, C – I, D – II (C) A – IV, B – II, C – I, D – III (D) A – III, B – II, C – IV, D – I
›Reveal solutionSolution
This is a matching problem linking ore names to their chemical type. The key is knowing the chemical composition of each ore: Calamine is zinc carbonate, Copper pyrites is a sulphide, Zincite is zinc oxide, and Malachite is a basic copper carbonate (carbonate-hydroxide). The correct match is A–IV, B–II, C–I, D–III, which corresponds to option (C).
The question tests your memory of common ores and their classification by chemical nature — oxide, sulphide, carbonate, or carbonate-hydroxide. In metallurgy, ores are grouped by the anion present: oxides (O²⁻), sulphides (S²⁻), carbonates (CO₃²⁻), and sometimes mixed salts like basic carbonates (carbonate-hydroxide). Getting this right is just a matter of recalling the formula of each ore.
Let’s go through each one.
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Calamine – This is an ore of zinc. Its chemical formula is ZnCO₃. That’s a pure carbonate — no hydroxide group. So it belongs to List-II: IV (Carbonate).
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Copper pyrites – Also called chalcopyrite, this is the most common copper ore. Its formula is CuFeS₂. The presence of S²⁻ makes it a sulphide. So it matches List-II: II (Sulphide).
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Zincite – Another zinc ore, but this one is ZnO. That’s straightforward — an oxide. So it goes with List-II: I (Oxide). …
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- TG EAPCET 2021Set eng-2021-08-04-AN1 markMCQQ.The oxidation state of Cr in CrO5 is (A) 3 (B) 5 (C) 10 (D) 6
›Reveal solutionSolution
The compound CrO5 contains peroxide linkages, which means not all oxygen atoms have an oxidation state of -2. Accounting for these, the oxidation state of Cr is +6.
The oxidation state of an element in a compound represents the hypothetical charge it would have if all bonds were ionic. While there are general rules for assigning oxidation states, it's crucial to understand that these rules have exceptions, especially when dealing with peroxides or superoxides.
For oxygen, the most common oxidation state is -2. However, in peroxides (containing an O-O bond), each oxygen atom has an oxidation state of -1. In superoxides, it's -1/2. When calculating oxidation states, if the standard assumption (e.g., O = -2) leads to an impossibly high or low oxidation state for the central atom, it's a strong indicator that an exception to the general rules is present, and the compound's structure needs to be considered.
Let's determine the oxidation state of Cr in CrO5:
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Initial Calculation (and why it's incorrect):
If we assume all five oxygen atoms have an oxidation state of -2 (the most common state for oxygen), then for the neutral compound CrO5:
Let the oxidation state of Cr be x.
x+5×(−2)=0
x−10=0
x=+10
This result, +10, is impossible for chromium. Chromium is a d-block element in Group 6, and its maximum possible oxidation state is +6 (corresponding to the total number of valence electrons it can lose). An oxidation state of +10 would imply the loss of more electrons than it possesses, which is chemically unfeasible. This tells us that our initial assumption about all oxygen atoms being -2 is incorrect.
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Understanding the Structure of CrO5:
The compound CrO5 has a characteristic "butterfly" structure. This structure reveals the presence of peroxide linkages.
It consists of:
- One oxygen atom double-bonded to chromium (a normal oxide oxygen).
- Two peroxide linkages, each containing two oxygen atoms. This means there are four oxygen atoms involved in O-O bonds. So, out of the five oxygen atoms, one is a normal oxide, and four are peroxide oxygens.
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Assigning Correct Oxidation States to Oxygen:
- The oxygen atom that is double-bonded to chromium (Cr=O) has an oxidation state of -2. …
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- TG EAPCET 2021Set eng-2021-08-06-AN1 markMCQQ.The reagent used in the determination of the chemical oxygen demand (COD) of water sample is (A) Potassium permanganate (B) Sulphuric acid (C) Acidified Potassium dichromate (D) Potassium dichromate
›Reveal solutionSolution
The chemical oxygen demand (COD) of a water sample is determined by oxidizing organic and inorganic matter using a strong oxidizing agent in an acidic medium. The primary reagent used for this purpose is acidified potassium dichromate.
The Chemical Oxygen Demand (COD) test is a crucial measure of water quality, indicating the amount of oxygen required to chemically oxidize all oxidizable organic and inorganic substances present in a water sample. This test provides a rapid estimate of the pollution load in wastewater.
The core idea behind COD determination is to subject the water sample to a powerful chemical oxidation process. A strong oxidizing agent is used to break down the complex organic molecules into simpler, stable inorganic end products like carbon dioxide and water. The amount of oxidant consumed is then measured, which is directly proportional to the oxygen equivalent of the oxidizable matter.
Here's why a specific reagent system is chosen:
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Need for a Strong Oxidizing Agent: To ensure nearly complete oxidation of a wide range of organic compounds, a very strong oxidizing agent is required.
- Potassium dichromate (K2Cr2O7) is an excellent choice because it is a powerful oxidant, stable, and can oxidize almost all types of organic compounds (except for a few aromatic hydrocarbons and pyridine) to carbon dioxide and water. Its oxidation efficiency is high and consistent.
- Potassium permanganate (KMnO4), while also an oxidant, is generally less effective than dichromate for COD determination. Its oxidizing power can vary with pH, and it does not oxidize all organic compounds as completely as dichromate, leading to lower and less reliable COD values. It is more commonly used in other specific titrations or for measuring oxygen consumed in milder conditions (e.g., Permanganate Value).
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Role of Acidification: The oxidizing power of potassium dichromate is significantly enhanced in an acidic environment.
- Sulphuric acid (H2SO4) is added to provide the necessary acidic medium. In this acidic environment, the dichromate ion (Cr2O72−) is converted to chromic acid, which is a much stronger oxidizing agent. The reaction proceeds as follows: Cr2O72−+14H++6e−→2Cr3++7H2O …
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