Q.Assertion: The boiling points of alkyl halides decrease in the order: RI > RBr > RCl > RF.
Reason: The boiling points of alkyl chlorides, bromides and iodides are considerably higher than that of the hydrocarbon of comparable molecular mass.
🔒You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.
🔒 Start your 14-day free trial to unlock the full solution →Concept understanding — Inductive Effect on Acidity
Inductive Effect on Acidity – From Intuition to Precision
Imagine you are holding a rope tied to a heavy box. If you pull the rope, the box moves toward you. Now imagine the rope is made of rubber bands — the pull still reaches the box, but it gets weaker the farther away you are. That is exactly how the inductive effect works inside a molecule.
The Core Intuition
An acid donates a proton (H+). After it does, the remaining part (the conjugate base) carries a negative charge. The stability of that negative charge determines how willing the molecule is to give up the proton. More stable conjugate base → stronger acid.
Now, some atoms or groups are electron-withdrawing — they pull electron density toward themselves through the sigma bonds. If such a group is attached near the acidic proton, it pulls some electron density away from the negative charge on the conjugate base. That spreads out (delocalises) the negative charge, making the conjugate base more stable. The acid becomes stronger.
Conversely, electron-donating groups push electron density toward the negative charge, concentrating it and making the conjugate base less stable. The acid becomes weaker.
The inductive effect operates through sigma bonds only. It does not involve pi bonds or resonance. It is a permanent, through-bond polarisation.
The Precise Statement
Inductive effect on acidity: The acidity of a compound increases with the presence of electron-withdrawing groups (EWGs) near the acidic site, and decreases with electron-donating groups (EDGs). The effect is strongest when the group is closest to the acidic proton, and diminishes rapidly with distance.
Mathematically, for a series of substituted carboxylic acids:
R-COOHwhere R = substituent
The acid dissociation constant Ka changes as:
- If R is electron-withdrawing (e.g., −Cl, −NO2, −CF3): Ka increases → stronger acid.
- If R is electron-donating (e.g., −CH3, −C2H5): Ka decreases → weaker acid.
Why Distance Matters
The inductive effect falls off with distance because sigma bonds are localised. Each bond attenuates the effect by roughly a factor of 2–3. For example, compare:
| Compound | pKa | Explanation |
|---|---|---|
| CH3COOH | 4.76 | Reference (no EWG) |
| ClCH2COOH | 2.86 | Cl withdraws through one bond |
| Cl2CHCOOH | 1.29 | Two Cl atoms, stronger withdrawal |
| Cl3CCOOH | 0.65 | Three Cl atoms, strongest withdrawal |
| CH3CH2COOH | 4.87 | Ethyl group is electron-donating (slightly weaker acid) |
Notice: ClCH2COOH is about 100 times stronger than acetic acid (ΔpKa≈1.9). But if the Cl is moved further away:
| Compound | pKa |
|---|---|
| ClCH2CH2COOH | 4.08 |
| ClCH2CH2CH2COOH | 4.52 |
The effect fades as the chlorine moves farther from the carboxyl group. …
Why this formula?
Inductive Effect on Acidity: Why It Works
The inductive effect is a through-bond electron displacement caused by differences in electronegativity. When we ask why it affects acidity, we must first understand what acidity means at the molecular level.
The Core Idea: Stabilising the Conjugate Base
Acidity is governed by the equilibrium:
HA⇌H++A−
The stronger the acid, the more it favours the right side. This happens when the conjugate base A− is more stable. The inductive effect directly influences this stability.
Why Electron-Withdrawing Groups (EWG) Increase Acidity
Consider a carboxylic acid with an electronegative atom (like Cl) attached to the carbon chain:
Cl−CH2−COOH
- The inductive pull: The Cl atom is more electronegative than carbon. It pulls electron density toward itself through the sigma bonds.
- Effect on the O–H bond: This electron withdrawal travels along the carbon chain, reducing electron density around the O–H bond. The bond becomes more polarised, making the H⁺ easier to remove.
- Stabilising the conjugate base: After losing H⁺, the negative charge on the carboxylate ion (RCOO−) is delocalised by resonance. But the inductive effect further stabilises this negative charge by pulling electron density away from the oxygen atoms. This makes the conjugate base less reactive (more stable), shifting equilibrium toward dissociation.
Key insight: The inductive effect doesn't just weaken the O–H bond — it stabilises the anion that forms after deprotonation.
The Quantitative Relationship: Hammett Equation
For substituted benzoic acids, the effect is quantified by the Hammett equation:
log(Ka0Ka)=σρ
Where:
- Ka = acid dissociation constant of substituted acid
- Ka0 = acid dissociation constant of unsubstituted benzoic acid
- σ = substituent constant (measures inductive + resonance effect)
- ρ = reaction constant (sensitivity of the reaction to substituent effects)
Why This Formula Holds
The derivation comes from linear free-energy relationships:
- Free energy change: For any acid dissociation:
ΔG∘=−RTlnKa
- Effect of substituent: A substituent changes ΔG∘ by an amount proportional to its electronic effect:
Δ(ΔG∘)=−RTln(Ka0Ka)
-
Separability assumption: The total effect of a substituent on any reaction can be factored into:
- A substituent-specific term (σ) — how strongly it pulls/pushes electrons
- A reaction-specific term (ρ) — how sensitive the reaction is to electronic effects
-
Empirical validation: Hammett found that for meta and para substituted benzoic acids, plotting log(Ka/Ka0) against σ gives a straight line. This confirms the additive nature of inductive effects.
The Inductive Effect Constant (σI) …
The key idea here is that boiling points of alkyl halides depend on both molecular mass and the strength of van der Waals forces (which increase with size and polarisability of the halogen) — but that is a DIFFERENT comparison from "halide vs. parent hydrocarbon."
Reasoning:
- The assertion is correct: for a given alkyl group, boiling point increases as the halogen becomes heavier and more polarisable: I>Br>Cl>F.
- The reason is also correct: alkyl chlorides, bromides, and iodides do have considerably higher boiling points than the hydrocarbon of comparable molecular mass, because the polar C–X bond adds dipole-dipole interactions on top of the London forces the hydrocarbon already has. …
Both statements are individually true — the RI > RBr > RCl > RF boiling-point order is correct, and alkyl halides genuinely do boil higher than comparable hydrocarbons — but the reason does not explain the assertion: comparing halides to hydrocarbons is a different comparison from ranking the halides against each other. The correct option is (v): both correct, reason is not the correct explanation.
Why the assertion is true
Boiling point in alkyl halides is governed mainly by van der Waals (London dispersion) forces, which grow stronger as the halogen atom gets larger and more polarisable. Iodine is the largest, most polarisable halogen and fluorine the smallest, so for a given alkyl group:
R–I>R–Br>R–Cl>R–F
For example: CH3I (42°C) > CH3Br (4°C) > CH3Cl (−24°C) > CH3F (−78°C).
Why the reason is also true, on its own
Alkyl halides do boil considerably higher than a hydrocarbon of similar molecular mass — for instance C2H5Cl (M = 64.5, b.p. 12°C) boils far above C3H8 (M = 44, b.p. −42°C). This is a real, correct fact about alkyl halides as a class.
Why the reason does not explain the assertion …
Method: Analysis of Assertion–Reason Statements Using Factual Verification
This method involves independently checking the truth of the Assertion and the Reason, then determining if the Reason correctly explains the Assertion.
Steps:
-
Verify the Assertion
- The boiling point order given is: RI > RBr > RCl > RF.
- This is correct because boiling points of alkyl halides increase with increasing size and polarizability of the halogen. Iodine is largest and most polarizable → strongest London forces → highest boiling point. Fluorine is smallest → weakest forces → lowest boiling point.
-
Verify the Reason
- The statement: "Boiling points of alkyl chlorides, bromides, and iodides are considerably higher than that of the hydrocarbon of comparable molecular mass."
- This is correct because alkyl halides are polar and have stronger dipole–dipole interactions and London forces than nonpolar hydrocarbons of similar mass. (Note the reason deliberately does not include fluorides, so it isn't undermined by any RF exception.)
-
Check if Reason explains Assertion
- The Reason talks about comparison with hydrocarbons, not about the order among alkyl halides. …
Common Mistakes Students Make on This Question (Boiling Point Trends)
Mistake 1: Confusing Boiling Point Trends with Inductive Effect
- The error: Students think the trend RI > RBr > RCl > RF is due to inductive effect (electronegativity differences).
- Why it's wrong: Inductive effect influences acidity/basicity, not boiling points. Boiling points depend on van der Waals (London dispersion) forces, which grow with the halogen's size and polarisability, not its electronegativity.
- How to avoid: Remember — boiling point tracks polarisability/size for a series like this. Iodine is heaviest and most polarisable → strongest London forces → highest boiling point.
Mistake 2: Treating the Reason as False Because of an "RF Exception"
- The error: Students notice the reason only mentions chlorides/bromides/iodides (not fluorides) and assume this must mean the reason is incomplete or wrong.
- Why it's wrong: The reason is scoped correctly — it deliberately excludes RF (whose boiling point is comparable to, not "considerably higher than," the parent hydrocarbon, since fluorine is so small). As stated, covering only RCl/RBr/RI, the reason is fully true.
- How to avoid: Read the reason exactly as written — don't test it against a case (RF) it never claims to cover.
Mistake 3: Assuming "Both individually true" must mean the Reason explains the Assertion
- The error: Students verify both statements are true and jump straight to option (i), assuming true + true always means "reason explains assertion."
- Why it's wrong: The assertion is about the order among halides themselves (why iodide beats bromide beats chloride beats fluoride) — driven by polarisability/London forces increasing with halogen size. The reason is about halides vs. the parent hydrocarbon — a completely different comparison. One true fact doesn't automatically explain a different true fact.
- How to avoid: For every AR question, explicitly ask: "does the reason's LOGIC lead to the assertion's specific claim?" Here it doesn't — check for the option that captures "both true, but unrelated" (option v), not (i).
Mistake 4: Missing that option (v) exists
- The error: Seeing that neither "(i) reason explains" nor "(iii) reason is wrong" nor "(ii) both wrong" fit cleanly, students force their answer into whichever of those three seems "closest," rather than re-reading the full option list.
- Why it's wrong: This question's option list includes exactly the right fit: "(v) Assertion and reason both are correct statements but reason is not correct explanation of assertion" — precisely this situation. …
Showing the 12 most recent of 14 on this concept.
- GSEB Higher Secondary Certificate (HSC) Examination 2026Set ANNUAL1 markMCQQ.Which acid has lowest pKa?(a) C6H5COOH(b) HCOOH(c) C6H5CH2COOH(d) CH3CH2COOH
›Reveal solutionSolution
Among simple carboxylic acids, acidity decreases as alkyl/aryl substituents (electron donors) are added onto the carbon bearing -COOH; formic acid (no such substituent) is the strongest.
Acid strength of a carboxylic acid depends on how well the conjugate base (carboxylate, RCOO⁻) is stabilised — electron-donating alkyl groups destabilise the negative charge (reduce acidity), while the acid gets stronger as such donation is minimised or offset by electron-withdrawing character:
- HCOOH (formic acid) — H directly attached to the carbonyl carbon, no alkyl group to donate electron density; the strongest of the four, pKa ≈ 3.75 (lowest pKa).
- C6H5COOH (benzoic acid) — the ring can donate some electron density by resonance and is only mildly electron-withdrawing overall; pKa ≈ 4.2. …
- GUJCET 2025Set 031 markMCQQ.For which compound pKa is highest? (A) HCOOH (B) CH3CH2COOH (C) C6H5CH2COOH (D) ClCH2CH2COOH
›Reveal solutionSolution
[!TLDR]
Propanoic acid is the weakest acid here, so it has the highest pKa.
Concept
A higher pKa means a weaker acid. Electron-withdrawing groups (like −Cl, phenyl) stabilise the carboxylate and increase acidity (lower pKa); electron-donating alkyl groups reduce acidity (raise pKa).
Solution
Compare approximate pKa values:
- (A) HCOOH (formic acid): ≈3.75 (strongest, no destabilising alkyl chain).
- (B) CH3CH2COOH (propanoic acid): ≈4.87 (electron-donating ethyl group, no withdrawing group) — weakest acid, highest pKa. …
- GUJCET 2024Set 131 markMCQQ.Which of the following carboxylic acid has least pKa value among all? (A) NO2⋅CH2⋅COOH (B) CH3⋅COOH (C) HCOOH (D) C6H5⋅COOH
›Reveal solutionSolution
Strongest electron-withdrawing group → strongest acid → lowest pKa. NO2CH2COOH wins.
Concept. An electron-withdrawing substituent stabilises the carboxylate anion, raising acid strength (lowering pKa). …
- GSEB Higher Secondary Certificate (HSC) Examination 2024Set ANNUAL1 markMCQQ.Which of the following compound has highest Ka Value?(a) NO2CH2COOH(b) BrCH2COOH(c) CCl3COOH(d) CH3COOH
›Reveal solutionSolution
Trichloroacetic acid (CCl3COOH, pKa about 0.7) has the highest Ka because three chlorine atoms together exert the strongest cumulative electron-withdrawing effect. Answer: (c).
Acid strength is governed by how well the conjugate-base carboxylate is stabilised by the electron-withdrawing (-I) substituents. Comparing the four:
- CCl3COOH: pKa about 0.66 (three Cl atoms, very strong cumulative -I)
- NO2CH2COOH: pKa about 1.68
- BrCH2COOH: pKa about 2.9
- CH3COOH: pKa about 4.76 (no EWG) …
- GUJCET 2022Set 171 markMCQQ.Which is the incorrect order of increasing acidic strength for the following? (A) CH2FCH2CH2COOH<CH3CHFCH2COOH (B) CH2ClCOOH<CH2FCOOH (C) CH3COOH<CH2ClCOOH (D) HCOOH<C6H5COOH
›Reveal solutionSolution
HCOOH (pKa 3.75) is a stronger acid than C6H5COOH (pKa 4.20), so (D)'s order is wrong.
Concept. "Increasing acidic strength" means the item on the right must be the stronger acid.
- (A) F on β-C (closer to COOH) is more acidic than F on γ-C → order correct.
- (B) F is more electronegative than Cl → CH2FCOOH stronger than CH2ClCOOH → correct.
- (C) CH2ClCOOH stronger than CH3COOH → correct. …
- GSEB Higher Secondary Certificate (HSC) Examination 2022Set ANNUAL1 markMCQQ.Which acid has the lowest pKa?(a) CH3COOH(b) C6H5CH2COOH(c) C6H5COOH(d) CH3CH2COOH
›Reveal solutionSolution
Lower pKa = stronger acid; acidity here is governed by how well the conjugate base (carboxylate anion) is stabilised.
Approximate pKa values: benzoic acid (C6H5COOH) ≈ 4.2 (the phenyl ring is directly conjugated to -COOH, and the -I effect of the sp2 ring stabilises the carboxylate); phenylacetic acid (C6H5CH2COOH) ≈ 4.3 (the CH2 spacer partially insulates the ring's effect); acetic acid (CH3COOH) ≈ 4.76; propanoic acid (CH3CH2COOH) ≈ 4.87 (the extra electron-donat …
- GUJCET 2021Set 151 markMCQQ.Which compound having maximum value of pKa from following? (A) o−O2N−C6H4−OH (B) p−O2N−C6H4−OH (C) m−O2N−C6H4−OH (D) C6H5OH
›Reveal solutionSolution
Fewer/no electron-withdrawing groups → weaker acid → highest pKa = plain phenol.
Concept: An −NO2 group withdraws electron density and stabilises the phenoxide anion, increasing acidity (lowering pKa). Removing it makes the phenol the weakest acid, i.e. the largest pKa. …
- GUJCET 2021Set 151 markMCQQ.Which compound having maximum acidic strength of the following? (A) 4-methoxy benzoic acid (B) 2-methoxy benzoic acid (C) Benzoic acid (D) 4-nitrobenzoic acid
›Reveal solutionSolution
Electron-withdrawing −NO2 (para) most stabilises the anion → strongest acid.
Concept: Groups that withdraw electron density stabilise the carboxylate and raise acidity; electron-donating groups (like −OCH3) lower it.
- (A) 4-methoxy and (B) 2-methoxybenzoic acid — −OCH3 donates by resonance, weaker acids. …
- GUJCET 2020Set 071 markMCQQ.Which of the following acid has highest pKa value? (A) FCH2COOH (B) O2NCH2COOH (C) NCCH2COOH (D) C6H5CH2COOH
›Reveal solutionSolution
Highest pKa = weakest acid; C6H5CH2COOH has the least electron-withdrawing substituent.
Concept — inductive stabilisation of the carboxylate. Stronger electron-withdrawing groups (−NO2>−CN>−F) stabilise the conjugate base and lower pKa. The phenyl …
- GSEB Higher Secondary Certificate (HSC) Examination 2020Set ANNUAL1 markMCQQ.Conjugate base of which of the following acid is weak?(a) CH3CH2CH(I)COOH(b) CH3CH2CH(F)COOH(c) CH3CH2CH(Br)COOH(d) CH3CH2CH(Cl)COOH
›Reveal solutionSolution
The stronger the acid, the weaker (more stable, less basic) its conjugate base; among these halo-substituted acids, the most electronegative halogen (F) gives the strongest acid and hence the weakest conjugate base.
A strong acid ionises readily because its conjugate base is comparatively stable and has little tendency to re-accept a proton (i.e. it is a WEAK base). Acid strength here is controlled by the -I (electron-withdrawing inductive) effect of the halogen substituent close to -COOH: this effect is strongest for the most electronegative halogen and weakens down the group, F …
- GSEB Higher Secondary Certificate (HSC) Examination 2019Set ANNUAL1 markMCQQ.For which acid the value of pKa is highest? (para-substituted benzoic acids)(a) p-Nitrobenzoic acid (4-NO2-C6H4-COOH)(b) p-Toluic acid / p-methylbenzoic acid (4-CH3-C6H4-COOH)(c) p-Anisic acid / p-methoxybenzoic acid (4-OCH3-C6H4-COOH)(d) p-Chlorobenzoic acid (4-Cl-C6H4-COOH)
›Reveal solutionSolution
pKa is highest for the weakest acid; electron-donating para substituents raise pKa (weaken acidity) while electron-withdrawing substituents lower pKa (strengthen acidity).
Acid strength of a substituted benzoic acid depends on how the para substituent affects stability of the carboxylate anion (its conjugate base) via induction and resonance:
- p-NO2 (-NO2 is strongly electron-withdrawing by both induction and resonance) stabilises the anion most -> strongest acid -> LOWEST pKa.
- p-Cl (weak electron-withdrawing by induction, small resonance donation) -> mildly increases acidity -> pKa close to/slightly below benzoic acid.
- p-CH3 (weak electron-donating by hyperconjugation) -> mildly decreases acidity -> pKa slightly above benzoic acid. …
- GSEB Higher Secondary Certificate (HSC) Examination 2018Set ANNUAL1 markMCQQ.Which of the following compound has highest acidic strength?(a) p-methylbenzoic acid (COOH with para CH3)(b) o-nitrobenzoic acid (COOH with ortho NO2)(c) benzoic acid(d) p-nitrobenzoic acid (COOH with para NO2)
›Reveal solutionSolution
o-nitrobenzoic acid is the most acidic because the ortho -NO2 group withdraws electrons most strongly (ortho effect).
Acidity of substituted benzoic acids depends on the substituent:
- Electron-withdrawing groups (like -NO2) stabilise the carboxylate anion -> increase acidity.
- Electron-donating groups (like -CH3) decrease acidity.
Ranking:
- p-CH3 (p-toluic acid): weakest (EDG).
- benzoic acid: reference.
- p-NO2: strong EWG, more acidic. …
🎓Unlock everything free for 14 days
- ✓Full step-by-step solutions
- ✓Concept-first explanations
- ✓Methods, shortcuts & mistakes
- ✓PYQ mapping + timed mock tests
Full access for 14 days. No credit card required.