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NEET 2027 · Chemistry · Chemical Kinetics · Topic 11 of 15

Pseudo First Order
The Useful Disguise

Tier 3 · moderate priority. Truly second order, observably first order — and the question always specifies which one it wants.

Tier · 3 — ModerateNCERT · p. 78Animations · 3Questions · 25Graph Qs · 4Assertion–Reason · 3

The big idea, in plain words

A pseudo first order reaction is a reaction that is really second order but behaves as first order, because one of its reactants is present in such huge excess that its concentration barely changes.

Story track

Imagine a small boat taking water from a lake. Every minute, the boat's pump removes a bucketful. Does the lake level drop?

Technically, yes. In practice, no — you could never measure it. The lake is so vast compared with the bucket that its level is, for all purposes, constant.

Now, the pumping rate genuinely depends on two things: how hard the pump works, and how much water is in the lake. It really is a two-factor process. But since the lake never changes, the only thing you ever see varying is the pump. So if you measured the rate over an afternoon you would conclude, quite reasonably, that it depends on one factor alone.

That is a pseudo first order reaction. Truly two-factor, observably one-factor, because one factor sits still.

The mathematics of the disguise

Maths track

Take a genuinely second order reaction:

Rate = k[A][B]

Now suppose B is in vast excess, so [B] stays essentially constant at [B]₀ throughout. Then:

Rate = k[A][B]₀ = (k[B]₀)[A] = k'[A]
k' = k[B]₀ — the pseudo first order rate constant

The reaction now obeys first order kinetics exactly, with an apparent rate constant k' that quietly contains the constant concentration of B inside it. Everything from the first order unit applies: t½ = 0.693/k', ln[A] vs t is linear, and so on.

Why chemists do this deliberately. Second order kinetics is awkward to analyse. By flooding the system with one reactant, you force it into first order behaviour that is far easier to measure — and you can then extract the true k afterwards from k' = k[B]₀. This is a standard laboratory technique, not just a textbook curiosity.

NCERT's two examples, in full

Example 1 — hydrolysis of ethyl acetate.

CH₃COOC₂H₅ + H₂O →(H⁺) CH₃COOH + C₂H₅OH Rate = k[CH₃COOC₂H₅]¹[H₂O]⁰

NCERT gives the actual numbers, and they are worth looking at closely:

CH₃COOC₂H₅H₂OCH₃COOHC₂H₅OH
At t = 00.01 mol10 mol0 mol0 mol
At completion0 mol9.99 mol0.01 mol0.01 mol

The ester is completely consumed — a 100% change. Water goes from 10 to 9.99 mol — a change of 0.1%. NCERT's conclusion: the concentration of water does not get altered much during the course of the reaction, so the reaction behaves as a first order reaction.

Example 2 — inversion of cane sugar.

C₁₂H₂₂O₁₁ + H₂O →(H⁺) C₆H₁₂O₆ + C₆H₁₂O₆ Rate = k[C₁₂H₂₂O₁₁]

Sucrose is split into glucose and fructose. Again water is the solvent and in vast excess, so its concentration is effectively fixed and only sucrose appears in the rate law.

The question that catches people. "What is the order of ester hydrolysis?" has two defensible answers, and the question always specifies which it wants. True order: 2 (first order in ester, first order in water). Observed / pseudo order: 1. Read whether the question says "actually", "truly", "in reality" — or "observed", "apparent", "behaves as".

How to recognise one in an exam

Beyond the textbook

Recovering the true rate constant. Since k' = k[B]₀, measuring k' at several different fixed values of [B]₀ and plotting k' against [B]₀ gives a straight line whose slope is the true second order k. This is how the technique is actually used in a laboratory.
Units give the game away. The pseudo constant k' has units of s⁻¹, because it is behaving as first order. The true constant k has units of L mol⁻¹ s⁻¹. If a question gives you k' in s⁻¹ for an ester hydrolysis, it is handing you the pseudo constant, not the real one.
Why NCERT places this here. It appears immediately after the sentence "the order of a reaction is sometimes altered by conditions". That is the real lesson: order is a property of the experiment, not only of the reaction.

See it move — 3 animations

The second animation is the one worth sitting with — it shows that 'order' is partly a statement about your experiment, not only about the reaction.

ANIM 1
0.01 mol of ester in 10 mol of water

Drag the reaction to completion and compare the two bars, each scaled to its own starting amount. The ester empties entirely. Water moves by a tenth of one percent — barely visible. That contrast is the whole justification for treating water's concentration as constant, and NCERT gives these exact numbers.

ANIM 2
Watch the disguise become perfect
ln[A] Time

The red curve is the true second order behaviour of A, plotted as ln[A] against t. At small excess it is visibly curved — the second order nature shows. Increase the excess and the curvature shrinks until the curve is experimentally indistinguishable from the straight first order fit. The reaction did not change; only your ability to detect its true order did.

ANIM 3
Where the hidden reactant went

The excess reactant has not left the chemistry — it has moved inside the rate constant. Slide [B]₀ and watch k′ move with it in exact proportion. Note the units too: the true k is in L mol⁻¹ s⁻¹ while k′ is in s⁻¹, so the units alone tell you which constant a question has handed you.

Formula sheet

The starred rows carry the unit. The single most common lost mark here is answering 'first' when the question asked for the true order.

Quantity / situationFormulaWhen you use it
Definitiona reaction that is truly higher order but behaves as first orderBecause one reactant is in vast excess
The mathematics ★Rate = k[A][B] → k[A][B]₀ = k′[A] when [B] ≈ constantThe excess reactant folds into the constant
Pseudo rate constant ★k′ = k[B]₀Units s⁻¹, unlike the true k
Units of k′ versus kk′ in s⁻¹ ; true k in L mol⁻¹ s⁻¹The units reveal which you have been given
All first order results applyt½ = 0.693/k′ ; ln[A] vs t linear ; halving ladderOnce disguised, it is first order in every way
Example 1CH₃COOC₂H₅ + H₂O →(H⁺) CH₃COOH + C₂H₅OHRate = k[ester]¹[H₂O]⁰
Example 1 numbers0.01 mol ester with 10 mol water : water falls only to 9.99 molA 0.1% change versus 100%
Example 2C₁₂H₂₂O₁₁ + H₂O →(H⁺) glucose + fructoseInversion of cane sugar
True vs observed order ★ester hydrolysis: true order 2, observed order 1Read which the question wants
Recognition cuessolvent as reactant ; zero exponent on a real reactant ; 'large excess' ; H⁺ catalystFour reliable signals
Why order changesorder describes the experiment, not only the reactionNCERT: order is sometimes altered by conditions
Recovering true k — gapplot k′ against [B]₀ : slope = true kStandard laboratory method

25 NEET-type questions with worked solutions

Four graph questions and three assertion–reason questions are included, marked by their coloured left borders. Questions tagged PYQ pattern follow forms that have appeared in NEET/AIPMT papers or come directly from NCERT exercises — exact year attributions are deliberately omitted rather than guessed.

Q01PYQ pattern

The hydrolysis of ethyl acetate in the presence of excess water is an example of:

Given

CH₃COOC₂H₅ + H₂O →(H⁺) products, water in excess

Asked

Type of reaction

Concept

Truly second order but behaving as first order because water is in vast excess.

Formula

Rate = k[CH₃COOC₂H₅]¹[H₂O]⁰

Baby steps
  1. The reaction genuinely involves both ester and water, so it is second order in reality.
  2. Water is taken in large excess, so its concentration is not altered much.
  3. The rate then depends only on the ester concentration, giving observed first order behaviour.
  4. NCERT names such reactions pseudo first order reactions.

Answer · (a) a pseudo first order reaction

Q02PYQ pattern

For the hydrolysis of ethyl acetate, the TRUE order of the reaction is:

Given

Ester hydrolysis, asked for the true order

Asked

True order

Concept

Both reactants genuinely affect the rate; only the excess conceals one of them.

Formula

Rate = k[ester][water] — genuinely second order

Baby steps
  1. NCERT states that in reality it is a second order reaction and the concentration of both ethyl acetate and water affect the rate.
  2. The observed first order behaviour arises only because water is in vast excess.
  3. So the true order is 2, while the observed order is 1.
  4. Read the question wording carefully — 'true', 'actually' and 'in reality' all ask for 2.

Answer · (a) 2

Shortcut · This question exists in two forms with two different answers. The wording tells you which is wanted.
Q03PYQ pattern

In the hydrolysis of 0.01 mol of ethyl acetate with 10 mol of water, the amount of water at completion is:

Given

0.01 mol ester, 10 mol water, reaction goes to completion

Asked

Water remaining

Concept

Stoichiometry consumes one water per ester, which is negligible against 10 mol.

Formula

water consumed = ester consumed = 0.01 mol

Baby steps
  1. The equation consumes one mole of water per mole of ester.
  2. All 0.01 mol of ester reacts, so 0.01 mol of water is consumed.
  3. Water remaining = 10 − 0.01 = 9.99 mol.
  4. That is a change of only 0.1%, which is why water's concentration is treated as constant.

Answer · (a) 9.99 mol

Q04PYQ pattern

Inversion of cane sugar, C₁₂H₂₂O₁₁ + H₂O →(H⁺) C₆H₁₂O₆ + C₆H₁₂O₆, has rate law:

Given

Inversion of cane sugar in aqueous acid

Asked

The rate law

Concept

Water is the solvent and in vast excess, so it does not appear in the observed rate law.

Formula

Rate = k[C₁₂H₂₂O₁₁]

Baby steps
  1. The reaction converts sucrose into glucose and fructose.
  2. Water is present as the solvent, in enormous excess.
  3. Its concentration is effectively constant, so it folds into the rate constant.
  4. NCERT gives the rate law as Rate = k[C₁₂H₂₂O₁₁], making it pseudo first order.

Answer · (a) Rate = k[C₁₂H₂₂O₁₁]

Q05

For a pseudo first order reaction Rate = k[A][B] with B in large excess, the observed rate constant k′ equals:

Given

Rate = k[A][B] with [B] ≈ [B]₀ constant

Asked

Expression for k′

Concept

The constant concentration is absorbed into the rate constant.

Formula

Rate = k[A][B]₀ = (k[B]₀)[A] = k′[A]

Baby steps
  1. Since [B] barely changes, replace it by the constant [B]₀.
  2. Rate = k[B]₀ × [A], and the bracket is a constant.
  3. Defining k′ = k[B]₀ gives Rate = k′[A], which is first order in form.
  4. Note k′ has units of s⁻¹ while the true k has units of L mol⁻¹ s⁻¹.

Answer · (a) k[B]₀

Shortcut · k′ contains the hidden reactant. Doubling [B]₀ doubles k′ — proof B is still involved.
Q06

Which of the following indicates that a reaction is pseudo first order rather than genuinely first order?

Given

Distinguishing features

Asked

The indicator of pseudo first order

Concept

Once disguised, a pseudo first order reaction is indistinguishable from a true one in its kinetics.

Formula

Rate = k[A]¹[B]⁰

Baby steps
  1. Options (b), (c) and (d) are all shared with genuine first order reactions — the disguise is complete in those respects.
  2. The giveaway is that a species genuinely taking part in the reaction carries a zero exponent.
  3. That can only happen because its concentration is held effectively constant.
  4. So option (a) is the distinguishing signal.

Answer · (a) A reactant appears with a zero exponent in the rate law despite taking part

Q07

The units of the pseudo first order rate constant k′ for ester hydrolysis are:

Given

Pseudo first order behaviour

Asked

Units of k′

Concept

Observed behaviour is first order, so the observed constant has first order units.

Formula

Rate = k′[A] ⟹ k′ in s⁻¹

Baby steps
  1. The observed rate law is Rate = k′[A], which is first order in form.
  2. First order rate constants have units of time⁻¹.
  3. So k′ is in s⁻¹.
  4. The true constant k, from Rate = k[A][B], has units L mol⁻¹ s⁻¹ instead.

Answer · (a) s⁻¹

Shortcut · If a question hands you a constant in s⁻¹ for an ester hydrolysis, it is the pseudo constant, not the true one.
Q08

Why is water's concentration treated as constant in the hydrolysis of ethyl acetate?

Given

0.01 mol ester in 10 mol water

Asked

Reason for treating [H₂O] as constant

Concept

A negligible fractional change justifies the constant approximation.

Formula

water: 10 → 9.99 mol, a 0.1% change

Baby steps
  1. Water is genuinely consumed — one mole per mole of ester.
  2. But only 0.01 mol of the 10 mol present is used up.
  3. That is a change of 0.1%, far too small to affect the measured rate.
  4. Water is neither a catalyst nor regenerated, so options (c) and (d) are wrong.

Answer · (a) It is present in such large excess that its concentration changes by only about 0.1%

Q09

A pseudo first order reaction has k′ = 2 × 10⁻³ s⁻¹. Its half-life is:

Given

k′ = 2 × 10⁻³ s⁻¹

Asked

Concept

Pseudo first order reactions obey every first order result.

Formula

t½ = 0.693/k′

Baby steps
  1. Since the observed kinetics are first order, the first order half-life formula applies.
  2. t½ = 0.693/(2 × 10⁻³).
  3. = 346.5 s.
  4. Note the half-life is constant in time, exactly as for a true first order reaction.

Answer · (a) 346.5 s

Q10

If the true rate constant for a second order reaction is 5 × 10⁻⁴ L mol⁻¹ s⁻¹ and the excess reactant is at 2.0 M, the pseudo first order rate constant is:

Given

k = 5 × 10⁻⁴ L mol⁻¹ s⁻¹, [B]₀ = 2.0 M

Asked

k′

Concept

Multiply the true constant by the fixed concentration.

Formula

k′ = k[B]₀

Baby steps
  1. k′ = 5 × 10⁻⁴ × 2.0.
  2. = 1.0 × 10⁻³ s⁻¹.
  3. Unit check: (L mol⁻¹ s⁻¹) × (mol L⁻¹) = s⁻¹. Correct for a first order constant.

Answer · (a) 1.0 × 10⁻³ s⁻¹

Shortcut · The unit cancellation is a free check: if you do not land on s⁻¹, you have multiplied the wrong things.
Q11Graph

For a pseudo first order reaction, the plot of ln[A] against t is:

ln[A]t
Given

Pseudo first order reaction, ln[A] vs t

Asked

Shape and slope

Concept

The observed kinetics are first order, so the observed constant appears in the slope.

Formula

ln[A] = ln[A]₀ − k′t

Baby steps
  1. The observed rate law is Rate = k′[A], identical in form to first order.
  2. Integrating gives ln[A] = ln[A]₀ − k′t, a straight line.
  3. The slope is −k′, the pseudo constant, not the true second order k.
  4. This is why option (b) is wrong — k has different units and would not fit the axes.

Answer · (a) a straight line of slope −k′

Q12Graph

The plot shows the observed pseudo first order rate constant k′ against the concentration of the excess reactant [B]₀. The slope gives:

k′[B]₀
Given

k′ plotted against [B]₀, straight through the origin

Asked

Meaning of the slope

Concept

Gap content — this is the laboratory method for recovering the true rate constant.

Formula

k′ = k[B]₀ — compare with y = mx

Baby steps
  1. The relation k′ = k[B]₀ has the form y = mx with no intercept.
  2. So the plot is a straight line through the origin, exactly as shown.
  3. The slope m equals the true second order rate constant k.
  4. This is how chemists deliberately use the pseudo first order technique — flood the system, measure the easy first order kinetics, then recover the true k.

Answer · (a) the true second order rate constant k

Q13Graph

Two experiments on the same reaction are run with different large excesses of B. The ln[A] versus t plots are both straight but have different slopes. This is because:

more Bless Bln[A]
Given

Two straight ln[A] vs t plots of different slope, different [B]₀

Asked

Explanation

Concept

The pseudo constant contains [B]₀, so it changes when the excess changes.

Formula

slope = −k′ = −k[B]₀

Baby steps
  1. Both plots are straight, so both runs show first order behaviour.
  2. The slope is −k′ = −k[B]₀.
  3. With more B present, k′ is larger and the line is steeper.
  4. The true k is a property of the reaction and does not change; only the observed constant does. This is direct evidence that B is still chemically involved.

Answer · (a) k′ = k[B]₀ differs between the runs, even though the true k is the same

Shortcut · If changing an 'absent' reactant changes the observed constant, the reaction is pseudo order, not genuinely first order.
Q14Graph

The bars compare the percentage change in concentration of ester and water during hydrolysis. What does this justify?

ester100%water0.1%
Given

Ester changes 100%, water changes 0.1%

Asked

What this justifies

Concept

A negligible change licenses the constant-concentration approximation.

Formula

Rate = k[ester][H₂O] ≈ (k[H₂O]₀)[ester]

Baby steps
  1. Water is genuinely consumed, so options (b) and (c) are wrong.
  2. But its fractional change is a thousand times smaller than the ester's.
  3. So [H₂O] may be treated as constant and absorbed into the rate constant.
  4. The ester's concentration changes fully and remains first order in the rate law, so (d) is wrong.

Answer · (a) Treating [H₂O] as constant, so it drops out of the rate law

Q15Assertion–Reason

Assertion (A): The hydrolysis of ethyl acetate is called a pseudo first order reaction.
Reason (R): Although it is truly second order, water is present in such large excess that its concentration does not alter appreciably during the reaction.

Given

Statements about ester hydrolysis

Asked

Truth values and explanation

Concept

The excess is precisely what causes the observed order to drop.

Formula

Rate = k[ester][H₂O] ≈ k′[ester]

Baby steps
  1. Check A: NCERT names such reactions pseudo first order reactions. A is true.
  2. Check R: NCERT states it is in reality a second order reaction, and that the concentration of water does not get altered much. R is true.
  3. Does R explain A? Yes — the unchanging water concentration is exactly why the reaction behaves as first order.
  4. Without the excess, the reaction would show ordinary second order kinetics.

Answer · (a) Both A and R are true and R is the correct explanation of A

Q16Assertion–Reason

Assertion (A): The order of a reaction can be altered by the experimental conditions.
Reason (R): Pseudo first order reactions show first order kinetics only because one reactant is held effectively constant.

Given

Statements about order and conditions

Asked

Truth values and explanation

Concept

Pseudo first order is the standard demonstration that order depends on conditions.

Formula

Baby steps
  1. Check A: NCERT opens this section with 'the order of a reaction is sometimes altered by conditions'. A is true.
  2. Check R: holding one reactant effectively constant is precisely what produces the apparent first order behaviour. R is true.
  3. Does R explain A? Yes — pseudo first order reactions are the worked example NCERT uses to establish the claim in A.
  4. The deeper lesson: order describes an experiment, not only a reaction.

Answer · (a) Both A and R are true and R is the correct explanation of A

Q17Assertion–Reason

Assertion (A): In a pseudo first order reaction, the reactant present in excess plays no chemical role.
Reason (R): Its concentration does not appear in the observed rate law.

Given

Statements about the excess reactant

Asked

Truth values

Concept

Absence from the rate law is not absence from the chemistry.

Formula

Rate = k[A][B]₀ — B is inside k′, not absent

Baby steps
  1. Check R: the excess reactant genuinely does not appear in the observed rate law. R is true.
  2. Check A: it is chemically essential — the reaction cannot proceed without it, and it is consumed stoichiometrically. A is false.
  3. Its concentration is hidden inside k′ = k[B]₀, so doubling it doubles the observed rate constant.
  4. So A is false while R is true. Vanishing from the rate law is a matter of measurement, not of chemistry.

Answer · (a) A is false but R is true

Shortcut · An excess reactant is invisible in the rate law but indispensable in the reaction. Do not confuse the two.
Q18

Which of the following would convert a pseudo first order reaction back into an observably second order one?

Given

A pseudo first order reaction

Asked

How to reveal the true order

Concept

The disguise depends entirely on one reactant being in vast excess.

Formula

Rate = k[A][B]

Baby steps
  1. The first order appearance arises only because [B] stays constant.
  2. If both reactants are present in comparable amounts, both concentrations change appreciably.
  3. The rate then visibly depends on both, revealing the true second order behaviour.
  4. Temperature and catalysts change k but not the order, and equal dilution preserves the excess ratio.

Answer · (a) Using comparable amounts of both reactants

Q19

A reaction A + B → products is second order overall. It will show pseudo first order kinetics if:

Given

Second order A + B → products

Asked

Condition for pseudo first order behaviour in A

Concept

The monitored species must be the scarce one; the other must be in excess.

Formula

Rate = k[A][B] ≈ (k[B]₀)[A]

Baby steps
  1. For the rate to depend only on [A], the concentration of B must stay effectively constant.
  2. That requires B to be present in large excess over A.
  3. Then Rate = k′[A] with k′ = k[B]₀.
  4. Option (c) would instead give pseudo first order behaviour in B, which is not what is being monitored here.

Answer · (a) [B] ≫ [A]

Q20

The acid H⁺ shown above the arrow in CH₃COOC₂H₅ + H₂O →(H⁺) products acts as:

Given

H⁺ above the reaction arrow

Asked

Role of H⁺

Concept

A species written above the arrow speeds the reaction without being consumed.

Formula

Baby steps
  1. H⁺ appears above the arrow, not among reactants or products.
  2. It accelerates the hydrolysis and is recovered unchanged.
  3. That fits the definition of a catalyst.
  4. Both of NCERT's pseudo first order examples use acid catalysis, which is a useful recognition cue.

Answer · (a) a catalyst

Q21

Which reaction is NOT pseudo first order?

Given

Four reactions

Asked

The one that is not pseudo first order

Concept

A genuinely first order reaction is not pseudo anything.

Formula

Baby steps
  1. Options (b), (c) and (d) all involve water in vast excess and are pseudo first order.
  2. The decomposition of N₂O₅ involves a single reactant and is genuinely first order.
  3. There is no hidden second reactant to conceal.
  4. So it is a true first order reaction, not a pseudo one.

Answer · (a) 2N₂O₅ → 4NO₂ + O₂

Q22

For a pseudo first order reaction with k′ = 1.386 × 10⁻² s⁻¹, the time for 75% completion is:

Given

k′ = 1.386 × 10⁻² s⁻¹, 75% completion

Asked

t

Concept

All first order shortcuts apply to pseudo first order reactions.

Formula

t₇₅ = 2 t½ = 2 × 0.693/k′

Baby steps
  1. t½ = 0.693/(1.386 × 10⁻²) = 50 s.
  2. 75% completion leaves 25% = 1/4, which is two half-lives.
  3. t = 2 × 50 = 100 s.

Answer · (a) 100 s

Q23

The observed rate constant of a pseudo first order reaction doubles when the concentration of the excess reactant is doubled. This shows that:

Given

k′ doubles when [B]₀ doubles

Asked

Interpretation

Concept

k′ = k[B]₀, so k′ is proportional to the excess concentration.

Formula

k′ = k[B]₀

Baby steps
  1. Since k′ = k[B]₀, doubling [B]₀ doubles k′.
  2. So the excess reactant does influence the observed kinetics after all.
  3. It simply does so through the constant rather than through a visible concentration term.
  4. The true k, being a property of the reaction, is unchanged.

Answer · (a) the excess reactant is still chemically involved, hidden inside k′

Q24

Pseudo first order reactions are useful in the laboratory because:

Given

Practical value of the technique

Asked

The reason

Concept

Flooding one reactant reduces a two-variable problem to a one-variable one.

Formula

Rate = k[A][B] → k′[A]

Baby steps
  1. Second order kinetics with two varying concentrations is awkward to analyse.
  2. By putting one reactant in vast excess, its concentration is held constant.
  3. The kinetics then reduce to simple first order form, with straight-line plots and constant half-life.
  4. The true k can be recovered afterwards from k′ = k[B]₀.

Answer · (a) first order kinetics is far simpler to analyse than second order

Q25

If a question states that ester hydrolysis 'behaves as a first order reaction', the order being referred to is:

Given

The phrase 'behaves as a first order reaction'

Asked

Which order is meant

Concept

Wording distinguishes true from observed order.

Formula

Baby steps
  1. The word 'behaves' signals observed experimental behaviour rather than underlying reality.
  2. The observed order is 1, while the true order is 2.
  3. NCERT's own sentence reads: the reaction behaves as first order reaction.
  4. Words such as 'actually', 'truly' and 'in reality' would instead point to the true order of 2.

Answer · (a) the observed or apparent order

Shortcut · Underline the qualifier in the question before answering. It alone decides between 1 and 2.