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Q.126 Chemistry ⭐ 360° Option Elimination Active
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NEET 2020 Chemistry Question 126 Solution

Topic: The d- and f-Block Elements · Official NTA Booklet Code E1
NEET 2020 Chemistry Question 126: Oxidation States of Chromium in Chromate (CrO4^2-) and Dichromate (Cr2O7^2-)

Question

Identify the incorrect statement.

✓
Verified Against NTA Final Answer Key
Option (4) : The oxidation states of chromium in CrO4^2- and Cr2O7^2- are not the same.
📚 The d- and f-Block Elements Easy
📋 Given Parameters & Problem Setup
Oxoanion 1 Chromate ion (CrO4^2-)
Oxoanion 2 Dichromate ion (Cr2O7^2-)
Question Objective Identify the INCORRECT statement among the choices
⚡

The 30-Second Exam Hall Shortcut: ⚡ "Cr in CrO4^2- is +6; Cr in Cr2O7^2- is +6: BOTH HAVE THE SAME +6 OXIDATION STATE!"

⏱️ 20 seconds

Calculate oxidation state: In CrO42−CrO_4^{2-}, x+4(−2)=−2  ⟹  x=+6x + 4(-2) = -2 \implies x = +6. In Cr2O72−Cr_2O_7^{2-}, 2x+7(−2)=−2  ⟹  2x=+12  ⟹  x=+62x + 7(-2) = -2 \implies 2x = +12 \implies x = +6. Both chromate and dichromate possess chromium in the exact same +6 oxidation state! Statement (4) claims they are "not the same", which is completely false! Mark Option (4) in 5 seconds.

1 Check Statement 4: Claims oxidation states of Cr in CrO4^2- and Cr2O7^2- are not the same.
2 In CrO4^2-: Cr + 4(-2) = -2 -> Cr = +6.
3 In Cr2O7^2-: 2Cr + 7(-2) = -2 -> 2Cr = +12 -> Cr = +6.
4 Both have Cr in +6 oxidation state (they interconvert with pH: 2CrO4^2- + 2H+ <=> Cr2O7^2- + H2O without any redox change).
5 Statement 4 is INCORRECT. Select Option (4).
🛡️
Why You Can 100% Trust This Shortcut: NCERT Chemistry · The d- and f-Block Elements (Potassium Dichromate & Chromate Interconversion)
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Calculate Oxidation State of Cr in Chromate Ion

In the yellow chromate ion (CrO42−\text{CrO}_4^{2-}), oxygen has an oxidation state of −2-2: x+4(−2)=−2x + 4(-2) = -2 x−8=−2  ⟹  x=+6x - 8 = -2 \implies x = +6 Thus, chromium has an oxidation state of +6+6.

Step 2

Calculate Oxidation State of Cr in Dichromate Ion

In the orange dichromate ion (Cr2O72−\text{Cr}_2\text{O}_7^{2-}), oxygen has an oxidation state of −2-2: 2x+7(−2)=−22x + 7(-2) = -2 2x−14=−2  ⟹  2x=+12  ⟹  x=+62x - 14 = -2 \implies 2x = +12 \implies x = +6 Thus, chromium also has an oxidation state of +6+6.

Step 3

Chemical Significance of Chromate-Dichromate Equilibrium

Chromate and dichromate ions interconvert depending upon pH without any change in oxidation state: 2CrO42−(yellow)+2H+⇌Cr2O72−(orange)+H2O2\text{CrO}_4^{2-} \text{(yellow)} + 2\text{H}^+ \rightleftharpoons \text{Cr}_2\text{O}_7^{2-} \text{(orange)} + \text{H}_2\text{O} Because chromium remains in the +6+6 oxidation state in both species, Statement (4) is undeniably false.

Step 4

Verify Statements 1, 2, and 3

- Statement (1): Cr2+Cr^{2+} (d4d^4) is reducing because d4→d3d^4 \to d^3 (t2g3t_{2g}^3, half-filled stable configuration in aqueous medium), whereas Fe2+Fe^{2+} (d6→d5d^6 \to d^5) has a positive standard potential (ECr3+/Cr2+∘=−0.41 VE^\circ_{\text{Cr}^{3+}/\text{Cr}^{2+}} = -0.41\text{ V}, EFe3+/Fe2+∘=+0.77 VE^\circ_{\text{Fe}^{3+}/\text{Fe}^{2+}} = +0.77\text{ V}). True. - Statement (2): Transition metals are catalysts due to multiple oxidation states and complex formation. True. - Statement (3): Interstitial compounds form when small non-metal atoms (H, C, N) occupy interstitial voids. True.

⭐

360° Option Elimination Engine Key Feature

Diagnose every choice: Know exactly why the right option works and why distractors fail.

4-Option Deep Scan
1 A
✗ Incorrect
Verdict & Scientific Reason:

This statement is factually true in water because Cr3+ achieves a stable half-filled t2g^3 electronic configuration.

⚠️
Student Fallacy (Why candidates pick this trap): Failing to realize that Cr3+ stability makes Cr2+ strongly reducing.
2 B
✗ Incorrect
Verdict & Scientific Reason:

Factually true; standard textbook explanation for transition metal catalysis.

⚠️
Student Fallacy (Why candidates pick this trap): Correctly identifying known catalytic behavior.
3 C
✗ Incorrect
Verdict & Scientific Reason:

Factually true; verbatim NCERT definition of interstitial compounds.

⚠️
Student Fallacy (Why candidates pick this trap): Standard metallurgical definition.
4 D
✓ 100% Correct
Verdict & Scientific Reason:

Factually INCORRECT statement (hence the correct answer); chromium has the identical oxidation state of +6 in both oxoanions.

💡
Why this is airtight: None; clean algebraic verification of oxidation numbers.
⚠️

NTA Trap Alert: Chromate vs Dichromate Color vs Oxidation State

Although chromate is YELLOW and dichromate is ORANGE, their oxidation states are IDENTICAL (+6 in both). The color change is due to pH-dependent condensation, NOT a redox reaction!

🛡️ How to avoid the -1 mark: Both CrO42−CrO_4^{2-} and Cr2O72−Cr_2O_7^{2-} have Chromium in the +6 state!
📖

Core NEET Syllabus Standard

Chemistry · The d- and f-Block Elements Standard Benchmark
Core Scientific Principle Tested:

""

Syllabus Focus: Oxidation States of Chromium in Chromate (CrO4^2-) and Dichromate (Cr2O7^2-)
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗

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