Q.When orange solution containing Cr2O72− ion is treated with an alkali, a yellow solution is formed and when H+ ions are added to yellow solution, an orange solution is obtained. Explain why does this happen?
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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. …
The key idea is the dichromate–chromate equilibrium, which depends on pH.
In acidic solution, the dichromate ion (Cr2O72−, orange) is stable. Adding an alkali (OH⁻) shifts the equilibrium toward the chromate ion (CrO42−, yellow) by consuming H⁺ ions. The reverse happens when H⁺ is added back.
Step 1: Write the equilibrium:
Cr2O72−+H2O⇌2CrO42−+2H+
(orange) (yellow) …
The colour change between orange dichromate (Cr2O72−) and yellow chromate (CrO42−) is a reversible acid–base equilibrium: adding alkali shifts the equilibrium toward chromate, and adding acid shifts it back to dichromate.
The key here is that dichromate and chromate are not independent ions — they are linked by a chemical equilibrium that depends on the pH of the solution. This is a classic example of how the same element in the same oxidation state can exist in different forms depending on the environment.
In acidic solution, the dominant species is the orange dichromate ion, Cr2O72−. In basic (alkaline) solution, the dominant species is the yellow chromate ion, CrO42−. The interconversion is a reversible reaction that involves water and hydrogen ions.
The equilibrium is:
Cr2O72−(aq)+H2O(l)⇌2CrO42−(aq)+2H+(aq)
Let’s walk through what happens step by step.
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Starting point: orange dichromate solution.
You have an acidic or neutral solution containing Cr2O72− ions. The equilibrium above lies to the left because the concentration of H+ is relatively high.
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Adding alkali (OH⁻ ions).
The added hydroxide ions react with the H+ ions on the right-hand side of the equilibrium:
H++OH−→H2O
This removes H+ from the system. According to Le Chatelier’s principle, the equilibrium shifts to the right to produce more H+ ions. As it shifts right, dichromate ions are consumed and chromate ions are produced. The solution turns yellow because CrO42− is now the dominant species.
- Adding acid (H⁺ ions) to the yellow solution. Now you increase the concentration of H+ in the solution. The equilibrium shifts to the left to consume the added H+ ions. Chromate ions combine with H+ to reform dichromate and water. The solution turns orange again as Cr2O72− becomes dominant. …
Method: Le Chatelier’s Principle & Acid–Base Equilibrium Analysis
This phenomenon is explained by the dichromate–chromate equilibrium in aqueous solution, which is pH-dependent.
Step 1 – Write the equilibrium reaction
The key equilibrium is:
CrX2OX7X2−(aq)+HX2O(l)2CrOX4X2−(aq)+2HX+(aq)
- Orange species: dichromate ion (CrX2OX7X2−)
- Yellow species: chromate ion (CrOX4X2−)
Step 2 – Effect of adding alkali (OH⁻)
When an alkali is added, OHX− ions neutralise the HX+ ions on the right side:
HX++OHX−HX2O
- Removal of HX+ shifts the equilibrium to the right (Le Chatelier’s principle).
- More CrOX4X2− (yellow) is formed.
- Result: solution turns yellow.
Step 3 – Effect of adding acid (H⁺)
When HX+ ions are added, the concentration of HX+ on the right side increases.
- Equilibrium shifts to the left to reduce the excess HX+.
- More CrX2OX7X2− (orange) is formed. …
Here are the common mistakes students make on this question about the dichromate-chromate equilibrium, along with how to avoid each.
Mistake 1: Confusing the colour of the ions
The error: Students often write that Cr2O72− is yellow and CrO42− is orange — the exact opposite of the truth.
Why it happens: The names "dichromate" and "chromate" sound similar, and students memorise the colours without linking them to the chemical formula.
How to avoid: Use a simple memory trick:
- Dichromate = Di = two chromium atoms = orange.
- Chromate = one chromium atom = yellow.
Also, write the formulas clearly:
- Orange: Cr2O72− (dichromate)
- Yellow: CrO42− (chromate)
Mistake 2: Writing the wrong chemical equation
The error: Students write an unbalanced equation or forget that the reaction is reversible.
Example of wrong equation:
Cr2O72−+OH−→CrO42−+H2O
This is unbalanced — it misses the H+ on the left.
How to avoid: Always write the balanced reversible equation:
Cr2O72−(aq)+2OH−(aq)⇌2CrO42−(aq)+H2O(l)
Check that atoms and charges balance:
- Left: 2 Cr, 7 O + 2 O = 9 O, 2 H, charge = -2 + (-2) = -4
- Right: 2 Cr, 8 O + 1 O = 9 O, 2 H, charge = -4
Mistake 3: Forgetting to mention the reversible nature of the reaction
The error: Students explain only the forward reaction (alkali → yellow) but don't explain why adding acid reverses it.
How to avoid: Always state that this is an equilibrium reaction. When you add alkali (OH−), it removes H+ (by forming water), shifting the equilibrium to the right (yellow). When you add H+, it shifts the equilibrium to the left (orange).
Write the equilibrium clearly:
Cr2O72−+H2O⇌2CrO42−+2H+
Then explain:
- Alkali removes H+ → equilibrium shifts right → yellow CrO42− forms.
- Acid adds H+ → equilibrium shifts left → orange Cr2O72− reforms.
Mistake 4: Not mentioning the role of water
The error: Students write the equation without water, making it seem like OH− directly reacts with Cr2O72−.
How to avoid: Understand that OH− neutralises H+ to form water. The actual equilibrium involves water:
Cr2O72−+H2O⇌2CrO42−+2H+
Adding OH− removes H+ (forming H2O), pulling the equilibrium to the right.
--- …
- COMEDK 2026Set 2026-A1 markMCQQ.The product and its colour when MnO2 is fused with KOH in presence of O2 : (A) Mn2O3, Brown (B) MnO2, Black (C) KMnO4, Purple (D) K2MnO4, Dark green
›Reveal solutionSolution
When MnO₂ is fused with KOH in the presence of O₂, it is oxidised to the manganate(VI) ion, giving a dark green melt. The product is K₂MnO₄, not KMnO₄, because the fusion conditions (strong alkali, limited oxidising power) stop at the +6 state. The correct option is (D).
The key concept here is oxidation state control by reaction conditions. Manganese can exist in many oxidation states, and the product formed depends on the strength of the oxidising agent and the medium (acidic vs. alkaline). In a strongly alkaline fusion with a moderate oxidant (O₂), manganese(IV) in MnO₂ is oxidised to manganese(VI), not to manganese(VII). The deep green colour of the manganate(VI) ion is a classic identifying feature.
Let’s walk through the reasoning step by step.
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Identify the starting material and conditions.
We begin with MnO2, where manganese is in the +4 oxidation state. It is fused (heated strongly) with KOH (a strong base) in the presence of oxygen gas (O2). The fusion creates a molten, highly alkaline environment.
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Determine the possible oxidation products.
In alkaline conditions, manganese can be oxidised to:
- Mn2O3 (Mn in +3) — but this is less oxidised than the starting +4, so it would require reduction, not oxidation. Not possible here.
- MnO2 (Mn in +4) — unchanged, but the reaction explicitly includes O₂, so oxidation is expected.
- K2MnO4 (manganate, Mn in +6) — a dark green compound.
- KMnO4 (permanganate, Mn in +7) — a purple compound.
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Recall the classic fusion reaction.
The standard laboratory preparation of potassium manganate is exactly this:
2MnO2+4KOH+O2fusion2K2MnO4+2H2O
The product is potassium manganate(VI), which is dark green. This is a well-known reaction in inorganic chemistry.
- Why not KMnO₄? …
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- COMEDK 2026Set 2026-M1 markMCQQ.K2Cr2O7 on heating with aqueous NaOH gives ____ (A) Cr(OH)2 (B) Cr(OH)3 (C) CrO42− (D) CrO3
›Reveal solutionSolution
The key idea is that dichromate in basic medium converts to chromate, not to a hydroxide or chromium trioxide. The final answer is chromate ion, CrO42−, so option (C) is correct.
Concept & Intuition
The chemistry here hinges on the acid–base equilibrium between dichromate (Cr2O72−) and chromate (CrO42−). In acidic solution, dichromate is stable; in basic solution, it shifts to chromate. Heating with aqueous NaOH provides a strongly basic environment, so the reaction is simply a deprotonation/condensation reversal — no redox occurs, and no insoluble hydroxide forms because chromate is soluble.
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Recognize the species involved
Potassium dichromate (K2Cr2O7) in water gives Cr2O72− ions. Aqueous NaOH supplies OH− ions, making the solution basic.
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Write the equilibrium
The dichromate–chromate equilibrium is:
Cr2O72−+H2O⇌2CrO42−+2H+
In basic solution, OH− consumes H+, pulling the equilibrium to the right.
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Apply Le Chatelier’s principle
Adding OH− removes H+ (forming water), so the system shifts to produce more CrO42−. Heating accelerates the reaction but does not change the product.
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Check the options
- (A) Cr(OH)2: This would require reduction of Cr(VI) to Cr(II), which does not occur here (no reducing agent). …
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- KCET 2025Set D-41 markMCQQ.In the reaction between hydrogen sulphide and acidified permanganate solution, (A) HX2S is reduced to S, MnOX4X− is oxidised to MnX2+ (B) HX2S is oxidised to SOX2, MnOX4X− is reduced to MnOX2 (C) HX2S is reduced to SOX2, MnOX4X− is oxidised to MnX2+ (D) HX2S is oxidised to S, MnOX4X− is reduced to MnX2+
›Reveal solutionSolution
Permanganate is the oxidant (Mn +7→+2, so it is reduced) and sulphide is the reductant (S −2→0, so it is oxidised to free sulphur) — the only option that gets both directions right.
Step 1 — The concept: oxidant is reduced, reductant is oxidised
Half the options here are traps built on confusing these two words. Fix them first:
- Oxidising agent — accepts electrons ⇒ its own oxidation number falls ⇒ it is reduced.
- Reducing agent — donates electrons ⇒ its own oxidation number rises ⇒ it is oxidised.
So an option saying "MnOX4X− is oxidised to MnX2+" is self-contradictory on its face: +7→+2 is a fall, which is reduction. That immediately kills options (A) and (C).
Step 2 — What must MnOX4X− do?
Oxidation number of Mn in MnOX4X−:
x+4(−2)=−1⇒x=+7
+7 is manganese's highest possible oxidation state — it has no electrons left to lose, so it cannot be oxidised. It can only gain electrons. In acidic medium (as stated) the standard 5-electron reduction is:
MnOX4X−X(aq)+8HX+X(aq)+5eX−MnX2+X(aq)+4HX2OX(l)E∘=+1.51 V
Mn: +7→+2. Reduced. ✓ (The purple colour discharges to the almost-colourless MnX2+ — the basis of permanganate titrations being self-indicating.)
Step 3 — What must HX2S do?
Oxidation number of S in HX2S:
2(+1)+x=0⇒x=−2
−2 is sulphur's lowest oxidation state — it has a full octet and no electrons left to gain, so it cannot be reduced. It can only lose electrons. So option (C)'s "HX2S is reduced to SOX2" is doubly absurd: it is not reduction, and −2→+4 is a rise.
With permanganate, sulphide is oxidised to free sulphur:
HX2SS+2HX++2eX−S: −2→0
Step 4 — Balance the overall reaction
Multiply the Mn half-reaction by 2 (10 e⁻) and the S half-reaction by 5 (10 e⁻) so the electrons cancel: …
- COMEDK 2024Set 2024-E1 markMCQQ.An inorganic compound W undergoes the following reactions: W+O2/ heat Na2CO3→X+H+→Y(s)Y(aq)+KCl(aq)→Z(S) Z appears in the form of orange crystals and is used as an oxidising agent in acid medium. Identify the compound W. (A) K2CrO4 (B) FeCr2O4 (C) Cu(CrO2)2 (D) Na2CrO4
›Reveal solutionSolution
The orange oxidiser Z is K2Cr2O7; tracing its manufacture backwards, the starting ore W is chromite, FeCr2O4 - option (B).
Z is described as orange crystals used as an oxidising agent in acid medium - this is potassium dichromate, K2Cr2O7. Reading the standard industrial preparation backwards:
Roasting with Na2CO3 / O2: the chromite ore is fused in air, oxidising Cr(III) to Cr(VI) as sodium chromate (X):
4FeCr2O4+8Na2CO3+7O2→8Na2CrO4+2Fe2O3+8CO2
Acidification (H+): yellow chromate converts to orange dichromate (Y):
2Na2CrO4+2H+→Na2Cr2O7+2Na++H2O …
- KCET 2020Set A-11 markMCQQ.Copper is extracted from copper pyrites by (A) Auto reduction (B) Thermal decomposition (C) Reduction by coke (D) Electrometallurgy
›Reveal solutionSolution
Copper pyrites (CuFeS2) is a sulphide ore, and the extraction of copper from it uses the principle of auto reduction — the ore is partially roasted to produce some oxide, which then reacts with the remaining sulphide in a self-sustaining reaction without an external reducing agent. The correct option is (A).
The key to this question lies in understanding the nature of the ore and the method of extraction that is actually used in industry. Copper pyrites, also known as chalcopyrite, is a mixed sulphide of copper and iron. For sulphide ores, the common route is roasting followed by reduction. But here's the twist: copper extraction from chalcopyrite does not use coke or a separate reducing agent. Instead, it exploits a clever chemical cycle.
The process is called auto reduction (or sometimes "self-reduction"). Here's why it works:
- Partial roasting: The concentrated ore is first roasted in a limited supply of air. This converts some of the copper sulphide (Cu2S) into copper oxide (Cu2O), while the iron sulphide (FeS) is largely converted to iron oxide (FeO), which is then removed as slag with silica.
2Cu2S+3O2→2Cu2O+2SO2
- The auto reduction step: The remaining Cu2S (which was not roasted) now reacts with the freshly formed Cu2O in the absence of air. This is a redox reaction where the sulphide acts as the reducing agent for the oxide:
2Cu2O+Cu2S→6Cu+SO2
Notice: no coke, no external reducing agent. The copper sulphide itself provides the reduction. This is the "auto" part — the ore reduces itself.
- Why not the other options?
- (B) Thermal decomposition: This works for ores like carbonates (e.g., ZnCO3) or hydroxides, which break down on heating. Sulphides like CuFeS2 do not simply decompose to metal; they need a chemical reaction. …
- KCET 2020Set A-11 markMCQQ.Aqueous solution of a salt (A) forms a dense white precipitate with BaCl2 solution. The precipitate dissolves in dilute HCl to produce a gas (B) which decolourises acidified KMnO4 solution. A and B respectively are : (A) BaSO4,SO2 (B) BaSO3,SO2 (C) BaSO4,H2S (D) BaSO3,H2S
›Reveal solutionSolution
The salt (A) is a sulfite (SO32−) that gives a white BaSO3 precipitate with BaCl2, which dissolves in dilute HCl to release SO2 gas (B). SO2 decolourises acidified KMnO4. So A = BaSO3, B = SO2, which matches option (B).
The key here is to connect each observation to a specific chemical property. The problem gives three clues: a white precipitate with BaCl2, that precipitate dissolves in dilute HCl to produce a gas, and that gas decolourises acidified KMnO4. Each clue narrows down the possibilities.
Let’s walk through it step by step.
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White precipitate with BaCl2
Barium chloride (BaCl2) is a common test for sulfate (SO42−) and sulfite (SO32−) ions. Both form white precipitates:
- Ba2++SO42−→BaSO4 (white, insoluble in dilute acids)
- Ba2++SO32−→BaSO3 (white, but soluble in dilute acids) So the precipitate could be either BaSO4 or BaSO3. We need the next clue to decide.
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Precipitate dissolves in dilute HCl to produce a gas
This is the decisive step.
- BaSO4 is insoluble even in dilute HCl — it does not dissolve. So if the precipitate were BaSO4, it would not produce any gas.
- BaSO3, on the other hand, reacts with dilute HCl:
BaSO3+2HCl→BaCl2+H2O+SO2↑
The gas produced is sulfur dioxide ($SO_2$).Therefore, the precipitate must be BaSO3, and the gas (B) is SO2.
- Gas (B) decolourises acidified KMnO4 Acidified potassium permanganate (KMnO4) is a strong oxidising agent. SO2 is a reducing agent and readily reduces MnO4− (purple) to Mn2+ (colourless): …
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- KCET 2018Set A-11 markMCQQ.Which of the following is an amphoteric oxide? (A) V2O5, Cr2O3 (B) Mn2O7, Cr2O3 (C) CrO, V2O5 (D) V2O5, V2O4
›Reveal solutionSolution
Amphoteric oxides react with both acids and bases. Among the given pairs, only V2O5 and Cr2O3 are amphoteric — so option (A) is correct.
The key idea: an amphoteric oxide sits in the middle of the acidity scale — it can act as an acid toward a strong base and as a base toward a strong acid. For transition metal oxides, the acidity increases as the oxidation state of the metal increases. A low oxidation state gives a basic oxide (like CrO, where Cr is +2), a very high oxidation state gives an acidic oxide (like Mn2O7, where Mn is +7), and intermediate oxidation states give amphoteric behaviour.
Let’s check each oxide in the options.
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V2O5 — Vanadium is in the +5 oxidation state. This is a moderately high state, and indeed V2O5 is well-known as an amphoteric oxide. It dissolves in strong acids to give vanadyl salts (e.g., VO2+) and in strong bases to give vanadate ions (VO43−). So it passes the test.
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Cr2O3 — Chromium is in the +3 oxidation state. This is the classic amphoteric oxide of chromium. It reacts with acids to give Cr3+ salts and with bases to give chromite ions (CrO2−). So it also passes.
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Mn2O7 — Manganese is in the +7 oxidation state. This is a very high oxidation state, making the oxide strongly acidic. It reacts with water to give permanganic acid (HMnO4) and does not behave as a base. So it is not amphoteric.
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CrO — Chromium is in the +2 oxidation state. This is a low oxidation state, so the oxide is basic. It reacts with acids to give Cr2+ salts but does not react with bases. Not amphoteric.
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V2O4 — Vanadium is in the +4 oxidation state. This oxide is actually amphoteric as well (it reacts with both acids and bases), but the question asks for a pair. Let’s see the options.
Now examine each option:
- (A) V2O5, Cr2O3 — Both are amphoteric. This looks correct.
- (B) Mn2O7, Cr2O3 — Mn2O7 is acidic, not amphoteric. So wrong.
- (C) CrO, V2O5 — CrO is basic, not amphoteric. So wrong. …
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