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NEET Solutions Previous Year Questions with Solutions

Complete repository of official NTA NEET questions for Solutions from 2020 to 2026. Every question includes 30-second elimination tricks, step-by-step NCERT solutions, option-by-option traps, and official answer keys.

12 Questions 6 Exam Years (2026, 2025, 2024, 2023, 2021, 2020) 11 Easy · 1 Medium · 0 Challenging
NEET 2026 · Q54 Easy
Official NEET 2026 Question 54 - Solutions
1
2
3 ✓ Key
4
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (3) : A is correct but R is not correct
📚 Solutions Easy
📋 Given Parameters & Problem Setup
Assertion (A) For an ideal solution formed by mixing liquids P and Q, Δ_mix H = 0 and Δ_mix V = 0
Reason (R) No interactions occur between P and Q
⚡

The 30-Second Exam Hall Shortcut: ⚡ The "No Interaction" Fallacy Detector

⏱️ Save ~40 seconds

Liquids MUST have intermolecular interactions! In ideal solutions, interactions are EQUAL, not absent!

1 Check Assertion A: By definition, an ideal solution has Δ_mix H = 0 and Δ_mix V = 0 -> TRUE.
2 Check Reason R: "No interactions occur between P and Q" -> FALSE! If there were no interactions, it would be an ideal gas, not a condensed liquid solution.
3 True scientific reason: The P-Q intermolecular interactions are identical in magnitude to P-P and Q-Q interactions.
4 Conclusion: Assertion is correct, Reason is incorrect -> Option (3) immediately!
🛡️
Why You Can 100% Trust This Shortcut: NCERT Solutions textbook core definition: In ideal solutions, the intermolecular attractive forces between A-A and B-B are nearly equal to those between A-B.
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Evaluate Assertion A: Thermodynamic Criteria of Ideal Solutions

An ideal solution is defined as one that obeys Raoult’s law over the entire range of concentration. For such solutions: 1. Enthalpy of mixing is zero (Δ_mix H = 0), meaning no heat is absorbed or evolved. 2. Volume of mixing is zero (Δ_mix V = 0), meaning the total volume equals the sum of the individual volumes.

ΔmixH=0andΔmixV=0\Delta_{\text{mix}}H = 0 \quad \text{and} \quad \Delta_{\text{mix}}V = 0
  • • Assertion A is scientifically correct.
Step 2

Evaluate Reason R: Nature of Intermolecular Forces

In liquid solutions, intermolecular cohesive forces (such as dipole-dipole, London dispersion, or van der Waals forces) are always present. An ideal solution does not mean "zero interaction". Rather, it means that the magnitude of solute-solvent (P-Q) intermolecular interactions is EQUAL to solute-solute (P-P) and solvent-solvent (Q-Q) interactions.

FP-Q≈FP-P≈FQ-Q≠0F_{\text{P-Q}} \approx F_{\text{P-P}} \approx F_{\text{Q-Q}} \neq 0
  • • Because the bond-breaking energy of P-P and Q-Q equals the bond-making energy of P-Q, Δ_mix H = 0.
  • • Reason R claims "No interactions occur", which is scientifically false.
Step 3

Formulate the Final Answer

Since Assertion A is a correct factual statement and Reason R is scientifically false, the correct choice is: A is correct but R is not correct.

Assertion A: TRUE,Reason R: FALSE  ⟹  Option (3)\text{Assertion A: TRUE}, \quad \text{Reason R: FALSE} \implies \text{Option (3)}
  • • Matches Option (3).
⭐

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:

Incorrect. Reason R is false because liquids always possess intermolecular interactions.

⚠️
Student Fallacy (Why candidates pick this trap): Equating ideal solutions with ideal gases where intermolecular forces are assumed zero.
2 B
✗ Incorrect
Verdict & Scientific Reason:

Incorrect. R is false, not correct.

⚠️
Student Fallacy (Why candidates pick this trap): Failing to spot the false claim in Reason R.
3 C
✓ 100% Correct
Verdict & Scientific Reason:

Scientifically rigorous. A correctly describes ideal thermodynamics, while R makes a fundamentally incorrect physical claim.

💡
Why this is airtight: None; recognizes the distinction between identical interactions and zero interactions.
4 D
✗ Incorrect
Verdict & Scientific Reason:

Incorrect. Assertion A is a textbook definition of an ideal solution.

⚠️
Student Fallacy (Why candidates pick this trap): Doubting the thermodynamic definition of ideal mixtures.
⚠️

NTA Trap Alert: Confusing Ideal Solution with Ideal Gas

Students frequently confuse kinetic molecular theory of ideal gases (where gas particles exert no attractive forces) with liquid solutions. In liquid solutions, forces are essential to hold the liquid state together!

🛡️ How to avoid the -1 mark: Liquid solutions MUST have forces. Ideal solution means P-Q forces EQUAL P-P and Q-Q forces.
📖

Core NEET Syllabus Standard

NEET Chemistry Core Syllabus · Solutions Standard Benchmark
Core Scientific Principle Tested:

"Ideal solutions form when intermolecular attractive forces between components are equal in magnitude."

Syllabus Focus: Ideal and non-ideal solutions, Raoult's law
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗
Ideal liquids have MATCHING forces, not MISSING forces!
NEET 2026 · Q71 Medium
Official NEET 2026 Question 71 - Solutions
1 A and B only ✓ Key
2 B and C only
3 A only
4 A and C only
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (1) : A and B only
📚 Solutions Medium
📋 Given Parameters & Problem Setup
Statement A An ideal solution thus formed obeys Raoult's law throughout the composition range.
Statement B Mixture of chloroform and acetone shows negative deviation from Raoult's law.
Statement C Mixture of aniline and phenol shows positive deviation from Raoult's law.
⚡

The 30-Second Exam Hall Shortcut: ⚡ The Hydrogen Bonding Deviation Rule

⏱️ Save ~50 seconds

NEW intermolecular H-bonds formed upon mixing = NEGATIVE deviation ALWAYS!

1 Statement A: An ideal solution obeys Raoult's law across all concentrations -> TRUE (canonical definition).
2 Statement B: Chloroform (Cl₃C-H) forms a strong hydrogen bond with Acetone (>C=O). Stronger A-B attraction = lower vapor pressure = NEGATIVE deviation -> TRUE.
3 Statement C: Phenol (Ph-O-H) and Aniline (Ph-NH₂) form strong intermolecular H-bonds between phenolic -OH and basic -NH₂. This ALSO causes NEGATIVE deviation, NOT positive deviation! -> FALSE.
4 Therefore, only Statements A and B are correct -> Option (1) immediately!
🛡️
Why You Can 100% Trust This Shortcut: NCERT Solutions textbook core examples: Both Chloroform + Acetone and Phenol + Aniline are classic textbook examples of NEGATIVE deviation.
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Evaluate Statement A (Ideal Solution Definition)

An ideal solution is defined as a binary solution in which each component obeys Raoult's law over the entire range of concentration and temperature: P_A = P_A° x_A and P_B = P_B° x_B.

Ptotal=PA∘xA+PB∘xB(Obeys Raoult’s law across all x)P_{\text{total}} = P_A^\circ x_A + P_B^\circ x_B \quad (\text{Obeys Raoult's law across all } x)
  • • Statement A is correct.
Step 2

Evaluate Statement B (Chloroform + Acetone Mixture)

Chloroform (CHCl₃) and acetone (CH₃COCH₃) molecules form intermolecular hydrogen bonds between the acidic hydrogen of chloroform and the carbonyl oxygen of acetone. Because A-B interactions are STRONGER than A-A and B-B interactions, vapor escaping tendency decreases, leading to lower vapor pressure than predicted by Raoult's law (Negative deviation).

Cl3C−H⋯O=C(CH3)2  ⟹  Pobs<PRaoult(Negative Deviation)\text{Cl}_3\text{C}-\text{H} \cdots \text{O}=\text{C}(\text{CH}_3)_2 \implies P_{\text{obs}} < P_{\text{Raoult}} \quad (\text{Negative Deviation})
  • • Δ_mix H < 0 and Δ_mix V < 0.
  • • Statement B is correct.
Step 3

Evaluate Statement C (Phenol + Aniline Mixture)

Phenol and aniline form strong intermolecular hydrogen bonds between the phenolic proton (-OH) and the lone pair on the nitrogen atom of aniline (-NH₂). This A-B interaction is significantly stronger than the individual intermolecular interactions. Consequently, the mixture shows NEGATIVE deviation from Raoult's law, NOT positive deviation.

C6H5−O−H⋯NH2−C6H5  ⟹  Negative Deviation (NOT Positive)\text{C}_6\text{H}_5-\text{O}-\text{H} \cdots \text{NH}_2-\text{C}_6\text{H}_5 \implies \text{Negative Deviation (NOT Positive)}
  • • Statement C is incorrect.
Step 4

Conclusion

Statements A and B only are correct.

A: Correct, B: Correct, C: Incorrect  ⟹  A and B only (Option 1)\text{A: Correct, B: Correct, C: Incorrect} \implies \text{A and B only (Option 1)}
  • • Matches Option (1).
⭐

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
✓ 100% Correct
Verdict & Scientific Reason:

Accurate. A is the canonical definition of an ideal solution; B correctly identifies negative deviation; C is false because phenol + aniline also shows negative deviation.

💡
Why this is airtight: None; precise recall of liquid-mixture thermodynamics.
2 B
✗ Incorrect
Verdict & Scientific Reason:

Incorrect. Statement C is false and Statement A is correct.

⚠️
Student Fallacy (Why candidates pick this trap): Assuming phenol + aniline shows positive deviation.
3 C
✗ Incorrect
Verdict & Scientific Reason:

Incorrect. Overlooks that Statement B is completely true.

⚠️
Student Fallacy (Why candidates pick this trap): Doubting whether chloroform + acetone is a negative deviation system.
4 D
✗ Incorrect
Verdict & Scientific Reason:

Incorrect. Statement C is false.

⚠️
Student Fallacy (Why candidates pick this trap): Thinking acid-base liquid mixtures cause positive deviation.
⚠️

NTA Trap Alert: Misclassifying Phenol + Aniline Deviation

Students often know that Ethanol + Acetone shows positive deviation, and mistakenly think Phenol + Aniline does too. Phenol (acidic) and Aniline (basic) attract each other strongly, leading to NEGATIVE deviation!

🛡️ How to avoid the -1 mark: Acid + Base pairs (Phenol + Aniline, Chloroform + Acetone) ALWAYS show NEGATIVE deviation due to enhanced intermolecular attraction.
📖

Core NEET Syllabus Standard

NEET Chemistry Core Syllabus · Solutions Standard Benchmark
Core Scientific Principle Tested:

"Intermolecular attractions stronger than pure components (A-B > A-A, B-B) lead to negative deviation from Raoult's law."

Syllabus Focus: Ideal and non-ideal solutions, Raoult's law, positive and negative deviations
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗
Chloroform & Acetone, Phenol & Aniline: Negative deviation all down the line!
NEET 2025 · Q66 Easy
Official NEET 2025 Question 66 - Solutions
1
2 ✓ Key
3
4
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (2) : A-II, B-I, C-IV, D-III
📚 Solutions Easy
📋 Given Parameters & Problem Setup
List I (Examples) A. Humidity, B. Alloys, C. Amalgams, D. Smoke
List II (Types of Solutions) I. Solid in solid, II. Liquid in gas, III. Solid in gas, IV. Liquid in solid
⚡

The 30-Second Exam Hall Shortcut: ⚡ Solute-Solvent State Match Shortcut

⏱️ Save ~35 seconds

Humidity = water vapor (liquid) in air (gas) ⟹ Liquid in gas (A-II). Alloys (e.g. brass) = Solid in solid (B-I). Amalgams = mercury (liquid) in sodium (solid) ⟹ Liquid in solid (C-IV). Smoke = carbon particles (solid) in air (gas) ⟹ Solid in gas (D-III)!

1 A. Humidity: Water droplets/vapor suspended in air = Liquid solute in Gas solvent ⟹ A matches II.
2 Look at options: Options (1) and (2) start with A-II.
3 B. Alloys: Homogeneous mixture of metals (e.g. copper in gold) = Solid solute in Solid solvent ⟹ B matches I.
4 Now Option (1) has B-IV, while Option (2) has B-I. This confirms Option (2) immediately!
5 Verify C. Amalgams: Mercury (liquid) dissolved in sodium/metal (solid) = Liquid in solid ⟹ C matches IV.
6 Verify D. Smoke: Carbon soot particles (solid) suspended in atmosphere (gas) = Solid in gas ⟹ D matches III.
7 Select Option (2) in under 10 seconds!
🛡️
Why You Can 100% Trust This Shortcut: Types of Solutions and Physical States of Components (NCERT Chemistry · Solutions).
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Classify Humidity and Smoke (Gaseous Solutions)

Examine solutions where the dispersion medium (solvent) is a gas:

Humidity: Water (Liquid) in Air (Gas)  ⟹  Liquid in gas (II)\text{Humidity: } \text{Water (Liquid)} \text{ in Air (Gas)} \implies \text{Liquid in gas (II)}
  • • A matches II (A-II).
  • • Smoke: Carbon soot particles (solid) dispersed in air (gas) represents Solid in gas (III).
  • • D matches III (D-III).
Step 2

Classify Alloys and Amalgams (Solid Solutions)

Examine solutions where the solvent is a solid:

Alloys: Solid in solid (I),Amalgams: Liquid in solid (IV)\text{Alloys: } \text{Solid in solid (I)}, \quad \text{Amalgams: } \text{Liquid in solid (IV)}
  • • Alloys (e.g., brass, bronze, gold-copper) consist of solid solute dissolved in solid solvent (B-I).
  • • Amalgams consist of liquid mercury (solute) dissolved in solid metal like sodium or zinc (Liquid in solid, C-IV).
Step 3

Synthesize the Complete Match

Assemble the pairs into the final selection:

A-II, B-I, C-IV, D-III  ⟹  Option (2)\text{A-II, B-I, C-IV, D-III} \implies \text{Option (2)}
  • • Matches Option (2) exactly as specified in NCERT Table 2.1.
⭐

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:

Incorrect. Swaps alloys (Solid in solid) with amalgams (Liquid in solid).

⚠️
Student Fallacy (Why candidates pick this trap): Confusing amalgams with solid alloys.
2 B
✓ 100% Correct
Verdict & Scientific Reason:

100% correct. Matches NCERT Table 2.1 verbatim.

💡
Why this is airtight: None; flawless recall of fundamental solution types.
3 C
✗ Incorrect
Verdict & Scientific Reason:

Incorrect. Swaps humidity and smoke.

⚠️
Student Fallacy (Why candidates pick this trap): Thinking humidity is solid in gas.
4 D
✗ Incorrect
Verdict & Scientific Reason:

Incorrect. Completely scrambled states.

⚠️
Student Fallacy (Why candidates pick this trap): Scrambling states of matter.
⚠️

NTA Trap Alert: Swapping Alloys and Amalgams

Candidates know mercury is a liquid, but sometimes confuse whether the amalgam is "solid in liquid" or "liquid in solid". Because the metal (sodium or zinc) is the dominant solid matrix, amalgams are LIQUID IN SOLID!

🛡️ How to avoid the -1 mark: Remember: Mercury is dissolved INTO solid metal ⟹ Liquid in solid!
📖

Core NEET Syllabus Standard

NEET Chemistry Core Syllabus · Solutions Standard Benchmark
Core Scientific Principle Tested:

"Solutions are classified into 9 types according to the physical states of solute and solvent."

Syllabus Focus: Types of Solutions based on Physical States
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗
Humidity is Liquid in Gas (II), Alloys are Solid in Solid (I), Amalgams are Liquid in Solid (IV), Smoke is Solid in Gas (III)!
NEET 2025 · Q79 Easy
Official NEET 2025 Question 79 - Solutions
1
2
3 ✓ Key
4
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (3) : 0.01M Na₂SO₄
📚 Solutions Easy
📋 Given Parameters & Problem Setup
Solution (1) 0.01 M Urea (non-electrolyte, i = 1)
Solution (2) 0.01 M KNO₃ (binary electrolyte, i = 2)
Solution (3) 0.01 M Na₂SO₄ (ternary electrolyte, i = 3)
Solution (4) 0.015 M C₆H₁₂O₆ (Glucose, non-electrolyte, i = 1)
⚡

The 30-Second Exam Hall Shortcut: ⚡ i × M Maximizer Shortcut

⏱️ Save ~30 seconds

Boiling point elevation ΔT_b ∝ (i × M)! Urea = 1 × 0.01 = 0.01. KNO₃ = 2 × 0.01 = 0.02. Na₂SO₄ = 3 × 0.01 = 0.03. Glucose = 1 × 0.015 = 0.015! Na₂SO₄ has the LARGEST i × M (0.03) ⟹ HIGHEST BOILING POINT!

1 Elevation in boiling point formula: ΔT_b = i × K_b × m ≈ i × K_b × M for dilute aqueous solutions.
2 Higher ΔT_b means higher boiling point: T_b = T_b° + ΔT_b.
3 Calculate effective particle concentration (i × M) for each candidate:
4 Solution (1) Urea: i = 1 ⟹ i × M = 1 × 0.01 = 0.01 M.
5 Solution (2) KNO₃: Dissociates into K⁺ + NO₃⁻ (2 ions) ⟹ i = 2 ⟹ i × M = 2 × 0.01 = 0.02 M.
6 Solution (3) Na₂SO₄: Dissociates into 2 Na⁺ + SO₄²⁻ (3 ions) ⟹ i = 3 ⟹ i × M = 3 × 0.01 = 0.03 M.
7 Solution (4) Glucose (C₆H₁₂O₆): i = 1 ⟹ i × M = 1 × 0.015 = 0.015 M.
8 Compare values: 0.03 M (Na₂SO₄) > 0.02 M (KNO₃) > 0.015 M (Glucose) > 0.01 M (Urea).
9 Select Option (3) in under 10 seconds!
🛡️
Why You Can 100% Trust This Shortcut: Colligative Properties & van ’t Hoff Factor (NCERT Chemistry · Solutions: ΔT_b = i K_b m).
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Colligative Principle Governing Boiling Point Elevation

The elevation in boiling point ΔT_b of an electrolyte solution depends on the total concentration of dissolved solute particles:

ΔTb=Tb−Tb∘=i⋅Kb⋅m\Delta T_b = T_b - T_b^\circ = i \cdot K_b \cdot m
  • • For dilute aqueous solutions, molality m is approximately equal to molarity M.
  • • The solution exhibiting the greatest elevation ΔT_b will have the highest boiling point T_b.
Step 2

Determine van ’t Hoff Factor (i) and Effective Concentration for Each Solute

Assuming complete dissociation for strong electrolytes:

i(Na2SO4)=2(Na+)+1(SO42−)=3i(\text{Na}_2\text{SO}_4) = 2(\text{Na}^+) + 1(\text{SO}_4^{2-}) = 3
  • • (1) Urea: Non-electrolyte ⟹ i = 1 ⟹ i × M = 0.01 M.
  • • (2) KNO₃: Dissociates into K⁺ + NO₃⁻ ⟹ i = 2 ⟹ i × M = 2 × 0.01 = 0.02 M.
  • • (3) Na₂SO₄: Dissociates into 2 Na⁺ + SO₄²⁻ ⟹ i = 3 ⟹ i × M = 3 × 0.01 = 0.03 M.
  • • (4) Glucose: Non-electrolyte ⟹ i = 1 ⟹ i × M = 1 × 0.015 = 0.015 M.
Step 3

Rank Boiling Points and Select Matching Option

Rank solutions by decreasing effective particle concentration:

0.03 M (Na2SO4)>0.02 M (KNO3)>0.015 M (Glucose)>0.01 M (Urea)0.03\text{ M (Na}_2\text{SO}_4) > 0.02\text{ M (KNO}_3) > 0.015\text{ M (Glucose)} > 0.01\text{ M (Urea)}
  • • 0.01 M Na₂SO₄ produces the greatest particle concentration and thus the highest boiling point.
  • • Matches Option (3) with complete precision.
⭐

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:

Incorrect. Produces the lowest boiling point (lowest i × M = 0.01 M).

⚠️
Student Fallacy (Why candidates pick this trap): Ignoring dissociation of ionic salts.
2 B
✗ Incorrect
Verdict & Scientific Reason:

Incorrect. Produces only 2 ions per formula unit (i × M = 0.02 M).

⚠️
Student Fallacy (Why candidates pick this trap): Failing to realize Na₂SO₄ produces 3 ions.
3 C
✓ 100% Correct
Verdict & Scientific Reason:

100% correct. Dissociates into 3 ions, yielding the maximum effective particle concentration (0.03 M).

💡
Why this is airtight: None; textbook application of colligative laws.
4 D
✗ Incorrect
Verdict & Scientific Reason:

Incorrect. Although molarity is 0.015 M, it does not ionize (i = 1), so 0.015 < 0.03 M.

⚠️
Student Fallacy (Why candidates pick this trap): Looking only at nominal molarity (0.015 > 0.01) without multiplying by i.
⚠️

NTA Trap Alert: Nominal Concentration vs Effective Concentration (Glucose Trap)

Students notice that glucose has the highest numerical concentration (0.015 M vs 0.01 M) and hastily pick Option (4). They forget to multiply by van ’t Hoff factor i! Na₂SO₄ gives 3 × 0.01 = 0.03 M, which is DOUBLE the glucose concentration!

🛡️ How to avoid the -1 mark: ALWAYS multiply molarity by van ’t Hoff factor: Effective Molality = i × M!
📖

Core NEET Syllabus Standard

NEET Chemistry Core Syllabus · Solutions Standard Benchmark
Core Scientific Principle Tested:

"ΔT_b = i K_b m; highest i × M gives highest boiling point."

Syllabus Focus: Colligative Properties & Abnormal Molar Mass (van ’t Hoff Factor)
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗
Multiply by ions: Na₂SO₄ has 3 ions ⟹ 3 × 0.01 = 0.03 M (Highest boiling point, Option 3)!
NEET 2025 · Q81 Easy
Official NEET 2025 Question 81 - Solutions
1 The solution shows positive deviation.
2 The solution shows negative deviation. ✓ Key
3 The solution is ideal.
4 The solution has volume greater than the sum of individual volumes.
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (2) : The solution shows negative deviation.
📚 Solutions Easy
📋 Given Parameters & Problem Setup
Moles of Liquid X (n_X) 5 moles
Moles of Liquid Y (n_Y) 10 moles
Vapor Pressure of Pure X (P_X°) 63 torr
Vapor Pressure of Pure Y (P_Y°) 78 torr
Observed Vapor Pressure (P_{obs}) 70 torr
⚡

The 30-Second Exam Hall Shortcut: ⚡ Observed vs. Raoult Expected Pressure Comparison

⏱️ Save ~30 seconds

x_X = 5/15 = 1/3, x_Y = 10/15 = 2/3. P_ideal = (1/3)(63) + (2/3)(78) = 21 + 52 = 73 torr! Observed is 70 torr < 73 torr expected ⟹ NEGATIVE DEVIATION!

1 Calculate mole fractions: x_X = 5 / (5 + 10) = 5/15 = 1/3; x_Y = 10 / 15 = 2/3.
2 Calculate expected ideal vapor pressure using Raoult’s Law:
3 P_total(ideal) = x_X P_X° + x_Y P_Y° = (1/3 × 63) + (2/3 × 78) = 21 + 52 = 73 torr.
4 Compare with experimentally measured vapor pressure: P_obs = 70 torr.
5 Since P_obs (70 torr) < P_ideal (73 torr), attractive forces between X and Y are stronger than pure liquid attractions.
6 Therefore, the solution exhibits NEGATIVE DEVIATION from Raoult’s law!
7 Select Option (2) in under 15 seconds!
🛡️
Why You Can 100% Trust This Shortcut: Raoult’s Law for Ideal Solutions (NCERT Chemistry · Solutions: P_total = P°_A x_A + P°_B x_B).
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Calculate Mole Fractions of Components X and Y

Total moles in the binary liquid solution:

ntotal=nX+nY=5+10=15 molesn_{total} = n_X + n_Y = 5 + 10 = 15\text{ moles}
  • • x_X = 5 / 15 = 1/3.
  • • x_Y = 10 / 15 = 2/3.
Step 2

Calculate Theoretical Ideal Vapor Pressure by Raoult’s Law

If the solution were ideal, the total vapor pressure would follow Raoult’s law:

Pideal=xXPX∘+xYPY∘=(13×63 torr)+(23×78 torr)=21+52=73 torrP_{ideal} = x_X P_X^\circ + x_Y P_Y^\circ = \left(\frac{1}{3} \times 63\text{ torr}\right) + \left(\frac{2}{3} \times 78\text{ torr}\right) = 21 + 52 = 73\text{ torr}
  • • The ideal expected total pressure is 73 torr.
Step 3

Compare Observed and Ideal Vapor Pressure

Evaluate the direction of deviation:

Pobserved=70 torr<Pideal=73 torrP_{observed} = 70\text{ torr} < P_{ideal} = 73\text{ torr}
  • • Because the observed vapor pressure is lower than predicted by Raoult’s law, escaping tendency is suppressed due to stronger intermolecular attractions (X-Y > X-X, Y-Y).
  • • This defines NEGATIVE DEVIATION from Raoult’s law, matching Option (2).
⭐

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:

Incorrect. Positive deviation requires P_obs > P_ideal (here 70 < 73).

⚠️
Student Fallacy (Why candidates pick this trap): Thinking lower pressure means positive deviation.
2 B
✓ 100% Correct
Verdict & Scientific Reason:

100% correct. P_obs (70 torr) is less than the calculated ideal pressure (73 torr).

💡
Why this is airtight: None; rigorous Raoult’s law computation.
3 C
✗ Incorrect
Verdict & Scientific Reason:

Incorrect. An ideal solution would exert exactly 73 torr, not 70 torr.

⚠️
Student Fallacy (Why candidates pick this trap): Rounding 70 and 73 as equal.
4 D
✗ Incorrect
Verdict & Scientific Reason:

Incorrect. Solutions with negative deviation exhibit contraction in volume (ΔV_{mix} < 0).

⚠️
Student Fallacy (Why candidates pick this trap): Confusing positive deviation volume expansion with negative deviation.
⚠️

NTA Trap Alert: Confusing Positive and Negative Deviation Pressure Criteria

P_obs < P_ideal means the vapor pressure is LOWER than expected, which is NEGATIVE deviation (ΔP < 0, ΔH_{mix} < 0, ΔV_{mix} < 0). Option 4 describes positive deviation (ΔV_{mix} > 0), which is the opposite!

🛡️ How to avoid the -1 mark: Remember: Observed pressure LESS than Raoult = NEGATIVE deviation!
📖

Core NEET Syllabus Standard

NEET Chemistry Core Syllabus · Solutions Standard Benchmark
Core Scientific Principle Tested:

"P_{obs} < P_{ideal} signifies negative deviation from Raoult’s law."

Syllabus Focus: Non-Ideal Solutions: Positive and Negative Deviations from Raoult’s Law
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗
Expected 73, got 70 ⟹ Pressure DROPPED ⟹ Negative deviation (Option 2)!
NEET 2024 · Q77 Easy
Official NEET 2024 Question 77 - Solutions
1
2
3
4 ✓ Key
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (4) : B > C > A
📚 Solutions Easy
📋 Given Parameters & Problem Setup
Henry’s constant for Gas A (K_H,A) 145 kbar
Henry’s constant for Gas B (K_H,B) 2 × 10^-5 kbar
Henry’s constant for Gas C (K_H,C) 35 kbar
⚡

The 30-Second Exam Hall Shortcut: ⚡ Inverse Henry Constant Rule

⏱️ Save ~30 seconds

Solubility x ∝ (1 / K_H)! Lowest K_H means HIGHEST solubility! K_H order: B (2e-5) < C (35) < A (145) -> Solubility: B > C > A!

1 Henry’s Law: p = K_H · x, where x is mole fraction solubility.
2 Rearranging gives: x = p / K_H.
3 At a constant partial pressure, gas solubility is INVERSELY proportional to Henry’s constant K_H.
4 Order of K_H: K_H(B) [2 × 10⁻⁵ kbar] < K_H(C) [35 kbar] < K_H(A) [145 kbar].
5 Therefore, solubility order is exactly inverted: B > C > A.
6 Match Option (4) in 5 seconds!
🛡️
Why You Can 100% Trust This Shortcut: NCERT Chemistry · Solutions (Henry’s law: higher the value of KH at a given pressure, the lower is the solubility of the gas in the liquid).
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Henry’s Law Mathematical Relationship

Henry’s law states that at a constant temperature, the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas present above the surface of the liquid or solution:

p=KH⋅x  ⟹  x=pKHp = K_H \cdot x \implies x = \frac{p}{K_H}
Step 2

Inverse Proportionality Between Solubility and KH

From the rearranged equation, at a given constant pressure p, the mole fraction x (which measures gas solubility) is inversely proportional to the Henry’s law constant KH: Higher KH -> Lower solubility Lower KH -> Higher solubility

x∝1KH(at constant p)x \propto \frac{1}{K_H} \quad (\text{at constant } p)
Step 3

Ordering the Gases by Given KH Values

Listing the given KH values in increasing numerical order: - Gas B: KH = 2 × 10⁻⁵ kbar (exceptionally small KH -> maximum solubility) - Gas C: KH = 35 kbar (intermediate KH -> moderate solubility) - Gas A: KH = 145 kbar (largest KH -> minimum solubility)

KH(B)  [2×10−5]<KH(C)  [35]<KH(A)  [145]  ⟹  xB>xC>xAK_H(B) \;[2\times 10^{-5}] < K_H(C) \;[35] < K_H(A) \;[145] \implies x_B > x_C > x_A
⭐

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 (1)
✗ Incorrect
Verdict & Scientific Reason:

Assumes direct proportionality between solubility and KH (order of KH values, not solubility).

⚠️
Student Fallacy (Why candidates pick this trap): Thinking higher KH means higher solubility.
2 (2)
✗ Incorrect
Verdict & Scientific Reason:

Completely incorrect ordering of KH values.

⚠️
Student Fallacy (Why candidates pick this trap): Misreading exponents.
3 (3)
✗ Incorrect
Verdict & Scientific Reason:

Places A above C in solubility even though KH(A) > KH(C).

⚠️
Student Fallacy (Why candidates pick this trap): Partial inversion.
4 (4)
✓ 100% Correct
Verdict & Scientific Reason:

Exact inverse ordering of Henry’s law constants: B (lowest KH) > C > A (highest KH).

💡
Why this is airtight: None.
⚠️

NTA Trap Alert: Option (1) Direct Proportionality Trap

Students frequently treat KH like an equilibrium solubility constant (Ksp) where bigger means more soluble. For Henry’s constant, BIGGER KH MEANS LESS SOLUBLE!

🛡️ How to avoid the -1 mark: Recite the verbatim NCERT phrase: "Higher the value of KH at a given pressure, lower is the solubility of the gas."
📖

Core NEET Syllabus Standard

Chemistry Core Physical Chemistry · Solutions Standard Benchmark
Core Scientific Principle Tested:

"Solubility of a gas is inversely proportional to its Henry’s law constant KH at constant pressure: x = p / KH."

Syllabus Focus: Solubility of Gases in Liquids: Henry’s Law Constant
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗
High KH means gas hates the drink: Low KH lets it dissolve in a wink (B > C > A)!
NEET 2024 · Q93 Easy
Official NEET 2024 Question 93 - Solutions
1
2
3 ✓ Key
4
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (3) : 37°C
📚 Solutions Easy
📋 Given Parameters & Problem Setup
Graph Plot of osmotic pressure (Π) vs concentration (C in mol L^-1)
Slope of straight line 25.73 L bar mol^-1
Universal gas constant (R) 0.083 L bar mol^-1 K^-1
⚡

The 30-Second Exam Hall Shortcut: ⚡ Kelvin to Celsius Temperature Trap

⏱️ Save ~30 seconds

Π = C · R · T -> Slope = R · T -> T = Slope / R = 25.73 / 0.083 = 310 K! Convert to Celsius: 310 - 273 = 37°C! Don’t pick 310°C (Option 4 trap)!

1 Van ’t Hoff equation for osmotic pressure: Π = C R T.
2 Comparing with y = mx: y = Π, x = C, Slope m = R T.
3 Solve for absolute temperature: T = Slope / R = 25.73 / 0.083 = 310 K.
4 Convert absolute temperature T in Kelvin to Celsius: t(°C) = 310 - 273 = 37°C.
5 Option (4) gives 310°C as a trap; the correct Celsius answer is 37°C.
6 Option (3) in 10 seconds!
🛡️
Why You Can 100% Trust This Shortcut: NCERT Chemistry · Solutions (Colligative properties: Van ’t Hoff equation for osmotic pressure Π = CRT).
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Van ’t Hoff Equation for Osmotic Pressure

For a dilute solution of a non-electrolyte, the osmotic pressure Π is directly proportional to the molar concentration C and absolute temperature T:

Π=CRT\Pi = C R T
Step 2

Identification of Graphical Slope

Plotting Π on the y-axis against concentration C on the x-axis gives a straight line passing through the origin: y = mx ⟹ Π = (RT) · C. Therefore, the slope of the line equals the product of the gas constant R and absolute temperature T:

Slope=R⋅T\text{Slope} = R \cdot T
Step 3

Calculation of Temperature in Kelvin

Given Slope = 25.73 L bar mol⁻¹ and R = 0.083 L bar mol⁻¹ K⁻¹:

T=SlopeR=25.73  L bar mol−10.083  L bar mol−1K−1=310  KT = \frac{\text{Slope}}{R} = \frac{25.73\;\text{L bar mol}^{-1}}{0.083\;\text{L bar mol}^{-1}\text{K}^{-1}} = 310\;\text{K}
Step 4

Conversion from Kelvin to Celsius

Converting the temperature from Kelvin to degrees Celsius:

t(∘C)=T(K)−273.15=310−273=37∘Ct(^\circ\text{C}) = T(\text{K}) - 273.15 = 310 - 273 = 37^\circ\text{C}
⭐

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 (1)
✗ Incorrect
Verdict & Scientific Reason:

Blindly copies the numerical value of the slope as the temperature.

⚠️
Student Fallacy (Why candidates pick this trap): Assuming slope equals temperature in Celsius directly.
2 (2)
✗ Incorrect
Verdict & Scientific Reason:

Calculation error from improper division.

⚠️
Student Fallacy (Why candidates pick this trap): Arithmetic miscalculation.
3 (3)
✓ 100% Correct
Verdict & Scientific Reason:

Exact conversion: 310 K - 273 = 37°C (normal human body temperature).

💡
Why this is airtight: None.
4 (4)
✗ Incorrect
Verdict & Scientific Reason:

Classic unit trap: 310 is the temperature in KELVIN, not Celsius!

⚠️
Student Fallacy (Why candidates pick this trap): Forgetting to convert Kelvin to Celsius.
⚠️

NTA Trap Alert: Option (4) 310°C Kelvin vs Celsius Unit Trap

310 K is calculated directly. Option (4) writes 310°C to trick students who forget to subtract 273. 310°C = 583 K, which is far too hot!

🛡️ How to avoid the -1 mark: The formula Π = CRT ALWAYS yields temperature in KELVIN. Always subtract 273 when options are in °C!
📖

Core NEET Syllabus Standard

Chemistry Core Physical Chemistry · Solutions Standard Benchmark
Core Scientific Principle Tested:

"Osmotic pressure is given by Π = CRT; the slope of Π vs C is RT, giving T in Kelvin."

Syllabus Focus: Colligative Properties: Osmotic Pressure and Molecular Mass Determination
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗
Divide slope by R to find the Kelvin pace: Subtract two-seventy-three to take body temp’s place (37°C)!
NEET 2023 · Q73 Easy
Official NEET 2023 Question 73 - Solutions
1
2
3
4 ✓ Key
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (4) : A is true but R is false.
📚 Solutions Easy
📋 Given Parameters & Problem Setup
Assertion A Helium is used to dilute oxygen in diving apparatus.
Reason R Helium has high solubility in O₂.
Gas mixture composition 11.7% He, 56.2% N₂, 32.1% O₂
⚡

The 30-Second Exam Hall Shortcut: ⚡ Scuba Diver Blood Solubility Hack: Low Solubility in Blood!

⏱️ Save ~30 seconds

Helium is added to diver tanks because of its LOW SOLUBILITY IN BLOOD (prevents the bends). Reason claims "high solubility in O₂", which is completely false and absurd! Assertion A is true, Reason R is false in 10 seconds! (Option 4)

1 Check Assertion A: Deep-sea divers use oxygen tanks diluted with helium (11.7% He, 56.2% N₂, 32.1% O₂) to prevent decompression sickness (the "bends") and nitrogen narcosis. (Assertion A is TRUE).
2 Check Reason R: Why is helium chosen? NCERT explicitly states: "because of its LOW SOLUBILITY IN BLOOD".
3 Reason R falsely claims: "Helium has high solubility in O₂". Gases are completely miscible with each other, but solubility in oxygen is completely nonsensical and untrue as an explanation.
4 Therefore, Assertion A is true but Reason R is false.
5 Select Option (4) directly!
🛡️
Why You Can 100% Trust This Shortcut: Solutions · Henry’s Law Applications (Helium is used as a diluent in underwater breathing mixtures specifically due to its extremely low solubility in blood, avoiding bubble formation upon depressurization).
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Physical Cause of Decompression Sickness ("The Bends")

Under high hydrostatic pressure deep underwater, atmospheric gases (especially nitrogen) dissolve in the diver’s blood in large amounts in accordance with Henry’s Law (p = K_H · x). When the diver ascends towards the surface, the ambient pressure decreases, and the dissolved gases are released from solution. Nitrogen forms gas bubbles in the bloodstream, blocking capillaries and causing a severe, painful medical condition known as the bends.

pgas=KH⋅x  ⟹  Higher pressure deep underwater forces gas into bloodp_{\text{gas}} = K_H \cdot x \implies \text{Higher pressure deep underwater forces gas into blood}
Step 2

Role of Helium in Scuba Tanks (Assertion A)

To prevent the formation of nitrogen bubbles and avoid nitrogen narcosis, commercial deep-sea diving breathing mixtures are diluted with helium (typically 11.7% He, 56.2% N₂, and 32.1% O₂). Therefore, Assertion A is completely true.

Breathing mixture: 11.7% He+56.2% N2+32.1% O2(Assertion A is True)\text{Breathing mixture: } 11.7\%\,\text{He} + 56.2\%\,\text{N}_2 + 32.1\%\,\text{O}_2 \quad (\text{Assertion A is True})
Step 3

Evaluation of Reason R

Helium is utilized specifically because it has an exceptionally high Henry’s law constant (K_H) in water/blood, which corresponds to an extremely LOW SOLUBILITY IN BLOOD. Gases mix in all proportions in the gas phase; claiming that helium is used because it has "high solubility in O₂" is scientifically baseless and factually false.

KH(He in blood) is very large   ⟹  Low solubility in blood (Reason R is False)K_H(\text{He in blood}) \text{ is very large } \implies \text{Low solubility in blood (Reason R is False)}
Step 4

Synthesis of Verdict

Assertion A is true, but Reason R is false. This corresponds to Option (4).

Assertion A: True,Reason R: False\text{Assertion A: True}, \quad \text{Reason R: False}
⭐

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 (1)
✗ Incorrect
Verdict & Scientific Reason:

Assertion A is true (helium is indeed used in diving apparatus); Reason R is false.

⚠️
Student Fallacy (Why candidates pick this trap): Candidate doubted the well-known use of helium in scuba diving.
2 (2)
✗ Incorrect
Verdict & Scientific Reason:

Reason R is false (helium has low solubility in blood, not high solubility in O₂).

⚠️
Student Fallacy (Why candidates pick this trap): Candidate assumed any statement asserting "solubility" must be true without reading carefully.
3 (3)
✗ Incorrect
Verdict & Scientific Reason:

Reason R is false.

⚠️
Student Fallacy (Why candidates pick this trap): Candidate failed to identify the error in Reason R.
4 (4)
✓ 100% Correct
Verdict & Scientific Reason:

Accurate: Assertion A is factually true, while Reason R is scientifically false.

💡
Why this is airtight: None. Candidate recognized that helium is used for its low solubility in blood.
⚠️

NTA Trap Alert: Misreading "High Solubility in O₂" Instead of "Low Solubility in Blood"

Students who vaguely recall the phrase "solubility of helium" often skim Reason R, see the word "solubility", and automatically assume it is true. The true textbook reason is LOW solubility in BLOOD, not high solubility in oxygen!

🛡️ How to avoid the -1 mark: Scrutinize every word in Reason: Helium has LOW solubility in BLOOD. Any statement saying "high solubility" is false.
📖

Core NEET Syllabus Standard

National Eligibility cum Entrance Test (NEET UG) · Solutions Standard Benchmark
Core Scientific Principle Tested:

"To avoid bends and toxic effects of high concentration of nitrogen in blood, tanks used by scuba divers are filled with air diluted with helium because of its low solubility in blood."

Syllabus Focus: Henry’s Law and Applications
Preserved in Rationalized Curriculum Syllabus & Academic Standards ↗
NEET 2021 · Q64 Easy
Official NEET 2021 Question 64 - Solutions
1 P2 > P1 > P3 ✓ Key
2 P1 > P2 > P3
3 P2 > P3 > P1
4 P3 > P1 > P2
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (1) : P2 > P1 > P3
📚 Solutions Easy
📋 Given Parameters & Problem Setup
Solute 1 10 g glucose (C6H12O6, M = 180 g/mol) in 250 mL (P1)
Solute 2 10 g urea (CH4N2O, M = 60 g/mol) in 250 mL (P2)
Solute 3 10 g sucrose (C12H22O11, M = 342 g/mol) in 250 mL (P3)
⚡

The 30-Second Exam Hall Shortcut: ⚡ Equal Mass & Volume: Π ∝ 1/Molar Mass!

⏱️ Save ~20 seconds

Osmotic pressure Π=wMVRT\Pi = \frac{w}{M V} R T. With identical dissolved mass (10 g10\text{ g}) and solution volume (250 mL250\text{ mL}), osmotic pressure is strictly inversely proportional to molar mass: Π∝1M\Pi \propto \frac{1}{M}! Urea (M=60M=60) has lowest molar mass   ⟹  \implies highest pressure (P2P_2). Glucose (M=180M=180) is intermediate (P1P_1). Sucrose (M=342M=342) is highest molar mass   ⟹  \implies lowest pressure (P3P_3). Decreasing order: P2>P1>P3P_2 > P_1 > P_3! Match Option (1)!

1 Formula: Π=CRT=nVRT=(wM)RTV\Pi = C R T = \frac{n}{V} R T = \left(\frac{w}{M}\right) \frac{R T}{V}.
2 Since w=10 gw = 10\text{ g}, V=250 mLV = 250\text{ mL}, and TT are identical for all solutions, Π∝1M\Pi \propto \frac{1}{M}.
3 Compare molar masses: Urea (M=60 g/molM = 60\text{ g/mol}) < Glucose (M=180 g/molM = 180\text{ g/mol}) < Sucrose (M=342 g/molM = 342\text{ g/mol}).
4 Invert order for osmotic pressure: Purea(P2)>Pglucose(P1)>Psucrose(P3)P_{\text{urea}} (P_2) > P_{\text{glucose}} (P_1) > P_{\text{sucrose}} (P_3).
5 Match Option (1) P2 > P1 > P3.
🛡️
Why You Can 100% Trust This Shortcut: Canonical van 't Hoff colligative property definition for non-electrolytes.
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Formulating Osmotic Pressure for Non-Electrolytes

For dilute non-electrolyte solutions that neither associate nor dissociate (van 't Hoff factor i=1i = 1), osmotic pressure Π\Pi is given by:

Π=CRT=(nV)RT=(wM⋅V)RT\Pi = C R T = \left(\frac{n}{V}\right) R T = \left(\frac{w}{M \cdot V}\right) R T
Step 2

Calculating Number of Moles for Each Solution

Each solution contains w=10 gw = 10\text{ g} of solute dissolved in V=250 mL=0.25 LV = 250\text{ mL} = 0.25\text{ L} of water: - Solution 1 (Glucose, C6H12O6C_6H_{12}O_6): M1=180 g/molM_1 = 180\text{ g/mol} n1=10180=0.0556 mol  ⟹  C1=0.05560.25=0.222 Mn_1 = \frac{10}{180} = 0.0556\text{ mol} \implies C_1 = \frac{0.0556}{0.25} = 0.222\text{ M} - Solution 2 (Urea, NH2CONH2NH_2CONH_2): M2=60 g/molM_2 = 60\text{ g/mol} n2=1060=0.1667 mol  ⟹  C2=0.16670.25=0.667 Mn_2 = \frac{10}{60} = 0.1667\text{ mol} \implies C_2 = \frac{0.1667}{0.25} = 0.667\text{ M} - Solution 3 (Sucrose, C12H22O11C_{12}H_{22}O_{11}): M3=342 g/molM_3 = 342\text{ g/mol} n3=10342=0.0292 mol  ⟹  C3=0.02920.25=0.117 Mn_3 = \frac{10}{342} = 0.0292\text{ mol} \implies C_3 = \frac{0.0292}{0.25} = 0.117\text{ M}

Step 3

Ranking the Osmotic Pressures in Decreasing Order

Because osmotic pressure is directly proportional to molar concentration CC:

C2>C1>C3  ⟹  P2>P1>P3C_2 > C_1 > C_3 \implies P_2 > P_1 > P_3
⭐

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 1
✓ 100% Correct
Verdict & Scientific Reason:

Exact decreasing order of osmotic pressure: Urea (P2P_2) > Glucose (P1P_1) > Sucrose (P3P_3).

💡
Why this is airtight: None; rigorous colligative property computation.
2 2
✗ Incorrect
Verdict & Scientific Reason:

Places glucose above urea, which violates n2(10/60)>n1(10/180)n_2 (10/60) > n_1 (10/180).

⚠️
Student Fallacy (Why candidates pick this trap): Assuming larger molecule exerts higher osmotic pressure.
3 3
✗ Incorrect
Verdict & Scientific Reason:

Places sucrose above glucose (10/342>10/18010/342 > 10/180), which is false.

⚠️
Student Fallacy (Why candidates pick this trap): Inverting glucose and sucrose molar masses.
4 4
✗ Incorrect
Verdict & Scientific Reason:

Directly proportional to molar mass (complete inversion of colligative property).

⚠️
Student Fallacy (Why candidates pick this trap): Assuming colligative property scales with molecular weight rather than mole count.
⚠️

NTA Trap Alert: Molecular Size vs. Particle Number Trap

Students frequently think "sucrose is the largest molecule, so it pushes harder on the semipermeable membrane and gives the highest pressure". Colligative properties depend STRICTLY on the NUMBER of particles, NOT their size or molecular weight. Smaller molar mass   ⟹  \implies MORE moles for equal mass   ⟹  \implies HIGHER pressure.

🛡️ How to avoid the -1 mark: For equal masses: Smallest molar mass (M=60M=60) has the MOST moles   ⟹  \implies highest Π\Pi.
📖

Core NEET Syllabus Standard

NCERT Chemistry · Solutions Standard Benchmark
Core Scientific Principle Tested:

"Osmotic pressure is a colligative property proportional to the number of solute particles per unit volume: Π=wRTMV\Pi = \frac{w R T}{M V}."

Syllabus Focus: Colligative Properties and Determination of Molar Mass (Osmotic Pressure)
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗
NEET 2021 · Q93 Easy
Official NEET 2021 Question 93 - Solutions
1
2
3 ✓ Key
4
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (3) : 336 mm of Hg
📚 Solutions Easy
📋 Given Parameters & Problem Setup
Solution Temperature 45°C
Molar Ratio (Benzene : Octane) 3 : 2
P°(Benzene) 280 mm Hg
P°(Octane) 420 mm Hg
⚡

The 30-Second Exam Hall Shortcut: ⚡ Raoult's Law: Ptotal = P°B · χB + P°O · χO

⏱️ Save ~20 seconds

Mole fractions: χB=33+2=0.6\chi_B = \frac{3}{3+2} = 0.6 and χO=23+2=0.4\chi_O = \frac{2}{3+2} = 0.4. Total vapour pressure Ptotal=280(0.6)+420(0.4)=168+168=336 mm HgP_{\text{total}} = 280(0.6) + 420(0.4) = 168 + 168 = 336\text{ mm Hg}! Instant 15-second arithmetic matching Option (3)!

1 Calculate mole fractions from given molar ratio 3:23 : 2: - χbenzene=35=0.6\chi_{\text{benzene}} = \frac{3}{5} = 0.6 - χoctane=25=0.4\chi_{\text{octane}} = \frac{2}{5} = 0.4.
2 Apply Raoult's Law for ideal solution: Ptotal=PB∘χB+PO∘χOP_{\text{total}} = P_B^\circ \chi_B + P_O^\circ \chi_O.
3 Substitute: Ptotal=(280×0.6)+(420×0.4)P_{\text{total}} = (280 \times 0.6) + (420 \times 0.4).
4 Calculate partial pressures: PB=168 mm HgP_B = 168\text{ mm Hg}, PO=168 mm HgP_O = 168\text{ mm Hg}.
5 Sum: Ptotal=168+168=336 mm HgP_{\text{total}} = 168 + 168 = 336\text{ mm Hg}.
6 Match Option (3).
🛡️
Why You Can 100% Trust This Shortcut: Canonical Raoult's Law formulation for ideal volatile binary liquid mixtures.
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Determining Component Mole Fractions

Let the number of moles of benzene (BB) be nB=3xn_B = 3x and octane (OO) be nO=2xn_O = 2x. The total moles in the solution are ntotal=3x+2x=5xn_{\text{total}} = 3x + 2x = 5x. - Mole fraction of benzene: χB=nBntotal=3x5x=35=0.6\chi_B = \frac{n_B}{n_{\text{total}}} = \frac{3x}{5x} = \frac{3}{5} = 0.6 - Mole fraction of octane: χO=nOntotal=2x5x=25=0.4\chi_O = \frac{n_O}{n_{\text{total}}} = \frac{2x}{5x} = \frac{2}{5} = 0.4

Step 2

Calculating Component Partial Pressures via Raoult's Law

For an ideal solution, the partial vapour pressure of each volatile component is equal to the vapour pressure of the pure component multiplied by its mole fraction in the liquid phase: - Partial pressure of benzene: PB=PB∘⋅χB=280 mm Hg×0.6=168 mm HgP_B = P_B^\circ \cdot \chi_B = 280\text{ mm Hg} \times 0.6 = 168\text{ mm Hg} - Partial pressure of octane: PO=PO∘⋅χO=420 mm Hg×0.4=168 mm HgP_O = P_O^\circ \cdot \chi_O = 420\text{ mm Hg} \times 0.4 = 168\text{ mm Hg}

Step 3

Computing Total Vapour Pressure

Applying Dalton's Law of Partial Pressures:

Ptotal=PB+PO=168 mm Hg+168 mm Hg=336 mm HgP_{\text{total}} = P_B + P_O = 168\text{ mm Hg} + 168\text{ mm Hg} = 336\text{ mm Hg}
⭐

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 1
✗ Incorrect
Verdict & Scientific Reason:

Arbitrary incorrect pressure.

⚠️
Student Fallacy (Why candidates pick this trap): Arithmetic miscalculation.
2 2
✗ Incorrect
Verdict & Scientific Reason:

This is the partial pressure of a single component (PBP_B or POP_O), NOT the total vapor pressure of the mixture.

⚠️
Student Fallacy (Why candidates pick this trap): Reporting partial pressure instead of total pressure.
3 3
✓ 100% Correct
Verdict & Scientific Reason:

Exact total vapour pressure calculated by Raoult's law (168+168=336 mm Hg168 + 168 = 336\text{ mm Hg}).

💡
Why this is airtight: None; flawless solution physical chemistry execution.
4 4
✗ Incorrect
Verdict & Scientific Reason:

Simple arithmetic average of pure vapour pressures: 280+4202=350 mm Hg\frac{280 + 420}{2} = 350\text{ mm Hg} (which assumes an equimolar 1:11:1 ratio instead of 3:23:2).

⚠️
Student Fallacy (Why candidates pick this trap): Assuming a 1:1 equimolar mixture.
⚠️

NTA Trap Alert: Partial Pressure vs. Total Pressure Trap (Option 2 vs. Option 3)

A student who computes PB=280×0.6=168 mm HgP_B = 280 \times 0.6 = 168\text{ mm Hg} might see 168 mm Hg168\text{ mm Hg} listed as Option (2) and immediately mark it. Remember that Option (2) represents ONLY the partial vapor pressure of benzene. The question asks for the TOTAL vapor pressure: Ptotal=PB+PO=168+168=336 mm HgP_{\text{total}} = P_B + P_O = 168 + 168 = 336\text{ mm Hg}.

🛡️ How to avoid the -1 mark: Always read the prompt carefully: "total pressure"   ⟹  Ptotal=PB+PO\implies P_{\text{total}} = P_B + P_O.
📖

Core NEET Syllabus Standard

NCERT Chemistry · Solutions Standard Benchmark
Core Scientific Principle Tested:

"According to Raoult's law, for a solution of volatile liquids, the total vapour pressure is the sum of the partial vapour pressures: P_total = P1° x1 + P2° x2."

Syllabus Focus: Vapour Pressure of Liquid-Liquid Solutions (Raoult's Law)
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NEET 2020 · Q105 Easy
Official NEET 2020 Question 105 - Solutions
1
2
3 ✓ Key
4
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (3) : 0.40 K
📚 Solutions Easy
📋 Given Parameters & Problem Setup
Molal Depression Constant of Benzene (Kf) 5.12 K kg mol^-1
Molality of Solution (m) 0.078 m = 0.078 mol kg^-1
Solute Nature Non-electrolyte (van 't Hoff factor i = 1)
⚡

The 30-Second Exam Hall Shortcut: ⚡ "ΔTf = Kf × m = 5.12 × 0.078 ≈ 0.399 K ≈ 0.40 K!"

⏱️ 20 seconds

For a non-electrolyte (i=1i = 1), the depression in freezing point is given directly by ΔTf=Kf×m\Delta T_f = K_f \times m. Multiplying: 5.12×0.078=0.39936 K5.12 \times 0.078 = 0.39936\text{ K}. Rounded to two decimal places, this is 0.40 K0.40\text{ K}. Mark Option (3) in 10 seconds!

1 Formula: ΔTf = i × Kf × m.
2 For non-electrolyte solute: i = 1.
3 Compute product: ΔTf = 5.12 × 0.078.
4 Quick estimation: 5 × 0.08 = 0.40 K.
5 Exact: 5.12 × 0.078 = 0.39936 K ≈ 0.40 K.
6 Select Option (3).
🛡️
Why You Can 100% Trust This Shortcut: NCERT Chemistry · Solutions (Colligative Properties: Depression of Freezing Point)
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Formula for Freezing Point Depression

Depression in freezing point (ΔTf\Delta T_f) is a colligative property directly proportional to the molal concentration of the solute in the dilute solution: ΔTf=i⋅Kf⋅m\Delta T_f = i \cdot K_f \cdot m

Step 2

Identify Parameters and van 't Hoff Factor

Because the solute is explicitly specified as a non-electrolyte, it undergoes neither association nor dissociation in benzene, so i=1i = 1. - Cryoscopic constant (KfK_f) = 5.12 K kg mol−15.12\text{ K kg mol}^{-1} - Molality (mm) = 0.078 m=0.078 mol kg−10.078\text{ m} = 0.078\text{ mol kg}^{-1}.

Step 3

Perform Multiplication

ΔTf=5.12×0.078\Delta T_f = 5.12 \times 0.078 ΔTf=0.39936 K\Delta T_f = 0.39936\text{ K}

Step 4

Round Off to Two Decimal Places

Rounding 0.39936 K0.39936\text{ K} to two decimal places gives: ΔTf≈0.40 K\Delta T_f \approx 0.40\text{ K} This precisely matches Option (3).

⭐

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:

Incorrect; roughly half the actual product.

⚠️
Student Fallacy (Why candidates pick this trap): Division by 2 error.
2 B
✗ Incorrect
Verdict & Scientific Reason:

Incorrect; double the correct depression.

⚠️
Student Fallacy (Why candidates pick this trap): Erroneously assuming a binary electrolyte with i=2i = 2.
3 C
✓ 100% Correct
Verdict & Scientific Reason:

Factually and mathematically exact; 5.12×0.078=0.39936 K≈0.40 K5.12 \times 0.078 = 0.39936\text{ K} \approx 0.40\text{ K}.

💡
Why this is airtight: None; direct colligative calculation.
4 D
✗ Incorrect
Verdict & Scientific Reason:

Incorrect; significant arithmetic overestimation.

⚠️
Student Fallacy (Why candidates pick this trap): Multiplying by 0.12 instead of 0.078.
⚠️

NTA Trap Alert: Non-Electrolyte van 't Hoff Factor

The problem says "non-electrolyte solute", which means i=1i = 1. Do not double the answer!

🛡️ How to avoid the -1 mark: Non-electrolyte = i=1i = 1. Direct product: 5.12×0.078=0.40 K5.12 \times 0.078 = 0.40\text{ K}.
📖

Core NEET Syllabus Standard

Chemistry · Solutions Standard Benchmark
Core Scientific Principle Tested:

""

Syllabus Focus: Depression in Freezing Point Calculation: ΔTf = Kf × m
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗
NEET 2020 · Q115 Easy
Official NEET 2020 Question 115 - Solutions
1 Ethanol+Acetone ✓ Key
2 Benzene+Toluene
3 Acetone+Chloroform
4 Chloroethane+Bromoethane
💡 Verified Solution & 30-Second Hack
✓
Verified Against NTA Final Answer Key
Option (1) : Ethanol+Acetone
📚 Solutions Easy
📋 Given Parameters & Problem Setup
Criterion Positive deviation from Raoult's law (P_total > P_ideal, ΔH_mix > 0, ΔV_mix > 0)
Candidate Mixtures Ethanol+Acetone, Benzene+Toluene, Acetone+Chloroform, Chloroethane+Bromoethane
⚡

The 30-Second Exam Hall Shortcut: ⚡ "Acetone Weakens Ethanol H-Bonds -> Escaping Tendency Increases -> POSITIVE DEVIATION!"

⏱️ 20 seconds

Pure ethanol molecules are held together by strong intermolecular hydrogen bonds. When acetone is added, acetone molecules get between ethanol molecules and break some of the hydrogen bonds, weakening overall intermolecular attractions (A−B<A−AA-B < A-A). This increases escaping tendency and vapor pressure (Positive Deviation)! Acetone + Chloroform shows Negative deviation; Benzene + Toluene is Ideal. Mark Option (1) in 5 seconds.

1 Positive deviation occurs when A-B attractive forces are weaker than A-A and B-B forces.
2 Ethanol has extensive intermolecular hydrogen bonding.
3 Adding acetone breaks hydrogen bonds in ethanol, weakening cohesive forces.
4 Result: Higher vapor pressure than predicted by Raoult's law (Positive deviation).
5 Acetone + Chloroform forms new H-bonds (Negative deviation).
6 Benzene + Toluene is an Ideal solution.
7 Select Option (1) Ethanol+Acetone.
🛡️
Why You Can 100% Trust This Shortcut: NCERT Chemistry · Solutions (Non-ideal Solutions: Positive and Negative Deviations from Raoult's Law)
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Thermodynamics of Positive Deviation

In solutions exhibiting positive deviation from Raoult's law, the intermolecular attractive forces between solute and solvent molecules (A−BA-B) are weaker than those between like molecules (A−AA-A and B−BB-B). As a result, molecules escape more easily into the vapor phase, leading to higher vapor pressures (PA>PA∘xAP_A > P_A^\circ x_A, PB>PB∘xBP_B > P_B^\circ x_B), endothermic mixing (ΔmixH>0\Delta_{\text{mix}} H > 0), and volume expansion (ΔmixV>0\Delta_{\text{mix}} V > 0).

Step 2

Evaluate Ethanol + Acetone Mixture

In pure ethanol, molecules are strongly associated via intermolecular hydrogen bonding. When acetone is mixed with ethanol, its molecules slip in between host ethanol molecules and disrupt their hydrogen-bonded network. Because the new ethanol-acetone dipole-dipole attractions are weaker than the original ethanol-ethanol hydrogen bonds, the escaping tendency of both components increases, displaying positive deviation.

Step 3

Evaluate Distractor Mixtures

- Benzene + Toluene: Both are non-polar hydrocarbons of similar size and structure, forming an nearly IDEAL solution (ΔH=0,ΔV=0\Delta H = 0, \Delta V = 0). - Chloroethane + Bromoethane: Ideal solution of homologous haloalkanes. - Acetone + Chloroform: Chloroform forms a new, strong intermolecular hydrogen bond with the carbonyl oxygen of acetone, displaying NEGATIVE deviation.

Step 4

Conclude Option 1

Ethanol + Acetone uniquely exhibits positive deviation from Raoult's law.

⭐

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
✓ 100% Correct
Verdict & Scientific Reason:

Factually exact; disruption of ethanol hydrogen bonding by acetone causes positive deviation from Raoult's law.

💡
Why this is airtight: None; textbook exemplar of positive deviation.
2 B
✗ Incorrect
Verdict & Scientific Reason:

Incorrect; forms an ideal solution obeying Raoult's law over the entire range of concentrations.

⚠️
Student Fallacy (Why candidates pick this trap): Confusing ideal solutions with non-ideal solutions.
3 C
✗ Incorrect
Verdict & Scientific Reason:

Incorrect; exhibits NEGATIVE deviation from Raoult's law due to new intermolecular hydrogen bonding between chloroform's C-H and acetone's C=O.

⚠️
Student Fallacy (Why candidates pick this trap): Confusing positive deviation with negative deviation.
4 D
✗ Incorrect
Verdict & Scientific Reason:

Incorrect; classic textbook example of an ideal solution.

⚠️
Student Fallacy (Why candidates pick this trap): Assuming different halogens cause non-ideality.
⚠️

NTA Trap Alert: Acetone + Ethanol vs Acetone + Chloroform

- Acetone + Ethanol = POSITIVE deviation (breaks existing H-bonds). - Acetone + Chloroform = NEGATIVE deviation (creates NEW H-bonds).

🛡️ How to avoid the -1 mark: Ethanol with acetone = POSITIVE; Chloroform with acetone = NEGATIVE!
📖

Core NEET Syllabus Standard

Chemistry · Solutions Standard Benchmark
Core Scientific Principle Tested:

""

Syllabus Focus: Non-Ideal Solutions: Positive Deviation from Raoult's Law (Ethanol + Acetone)
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