CUET UG Categorised PYQ Chemistry Unit 3
Chemistry
π Answers are locked once submitted β results and explanations appear at the end.
QUESTION 1 OF 19
What is the overall order of the reaction?
Rate = k[A]ΒΉαΒ²[B]Β³αΒ² (PYQ 2024)
QUESTION 2 OF 19
Which factor in Arrhenius equation corresponds to fraction of molecules having kinetic energy greater than activation energy? (PYQ 2024)
QUESTION 3 OF 19
What is the another term used for probability factor (P) in collision theory? (PYQ 2024)
QUESTION 4 OF 19
A first order reaction has a half-life of 693 sec. What will be its rate constant? (PYQ 2024)
QUESTION 5 OF 19
Arrange the following rate constant units in increasing order of their order of reaction: (PYQ 2024)
Statements:
(A) secβ»ΒΉ
(B) mol Lβ»ΒΉ secβ»ΒΉ
(C) molβ»ΒΉ L secβ»ΒΉ
(D) molβ»Β² LΒ² secβ»ΒΉ
QUESTION 6 OF 19
The decomposition of NHβ on a platinum surface is a zero-order reaction. If k = 2.5 Γ 10β»β΄ mol Lβ»ΒΉ sβ»ΒΉ, the rate of production of Hβ is: (PYQ 2022)
QUESTION 7 OF 19
The molecularity of the elementary reaction NHβNOβ β Nβ + 2HβO is: (PYQ 2022)
QUESTION 8 OF 19
A reaction proceeds through four elementary steps, and the overall rate constant follows the relation:
k = (kβ Γ kβ Γ βkβ) / kβ
The activation energies of the steps Eaβ, Eaβ, Eaβ and Eaβ are 10 kJ molβ»ΒΉ, 30 kJ molβ»ΒΉ, 40 kJ molβ»ΒΉ and 20 kJ molβ»ΒΉ, respectively. Determine the overall activation energy for the reaction. (PYQ 2023)
QUESTION 9 OF 19
A chemical reaction is second order with respect to A and first order with respect to B. If the concentration of A is reduced to half and the concentration of B becomes one-third of its original value, what will be the new reaction rate compared to the initial rate? (PYQ 2023)
QUESTION 10 OF 19
For the reaction:
CHClβ + Clβ β CClβ + HCl
Rate law:
Rate = k[CHClβ][Clβ]ΒΉαΒ²
Determine the order and molecularity of the reaction. (PYQ 2023)
QUESTION 11 OF 19
For the reaction:
aX β bY
logββ(dx/dt) = logββ(dy/dt) + 0.4771
Given: log 3 = 0.4771
X and Y respectively are: (PYQ 2023)
QUESTION 12 OF 19
Which of the following is not the graphical representation of first-order kinetics? (PYQ 2023)
QUESTION 13 OF 19
Which of the following could not be a rate determining step? (PYQ 2023)
QUESTION 14 OF 19
For the following reaction:
2Aβ(g) + 1/4 X(g) β 2AβX(g)
Volume is increased to double its value by decreasing the pressure on it. If the reaction is first order with respect to X and second order with respect to Aβ, the rate of reaction will: (PYQ 2024)
QUESTION 15 OF 19
Identify the order of reaction if its rate constant is k = 2 Γ 10β»Β² sβ»ΒΉ. (PYQ 2024)
QUESTION 16 OF 19
For a complex reaction, the order of reaction is equal to: (PYQ 2024)
QUESTION 17 OF 19
If 75% of a first order reaction gets completed in 32 minutes, time taken for 50% completion of this reaction is: (PYQ 2024)
QUESTION 18 OF 19
What is the overall order of reaction which has the following rate expression?
Rate = k[A]Β²[B]ΒΉαΒ² (PYQ 2024)
QUESTION 19 OF 19
Inverse of rate constant is: (PYQ 2024)
Test Complete!
Answer Review
1 What is the overall order of the reaction?
Rate = k[A]ΒΉαΒ²[B]Β³αΒ² (PYQ 2024)
Overall order is the sum of powers in the rate law. Power of [A] = 1/2. Power of [B] = 3/2. Overall order = 1/2 + 3/2 = 2.
(Detailed) β The order of a reaction with respect to a reactant is the power to which its concentration is raised in the rate equation. β In the given rate law: β Rate = k[A]ΒΉαΒ²[B]Β³αΒ² β Order with respect to A = 1/2. β Order with respect to B = 3/2. β Overall order = 1/2 + 3/2 = 4/2 = 2. β Hence, the reaction is second order overall.
- B) 0 β This would mean the rate is independent of concentration, which is not the case here.
- C) 1 β This is incorrect because the powers add up to 2, not 1.
- D) 0.5 β This is only the order with respect to A, not the overall order.
Used
- Option A β Selected because 1/2 + 3/2 = 2.
- Option B β Rejected because the rate depends on concentrations.
- Option C β Rejected because it is an incorrect addition of powers.
- Option D β Rejected because it considers only [A].
- Final Answer β Overall order = sum of powers in rate law.
2 Which factor in Arrhenius equation corresponds to fraction of molecules having kinetic energy greater than activation energy? (PYQ 2024)
Arrhenius equation is k = A e^(-Ea/RT). The exponential term represents the fraction of molecules having enough energy. This term is also called the Boltzmann factor.
(Detailed) β The Arrhenius equation is: β k = A e^(-Ea/RT) β Here, A is the frequency factor. β Ea is the activation energy. β R is the gas constant. β T is the temperature. β The term e^(-Ea/RT) represents the fraction of molecules having kinetic energy greater than or equal to activation energy. β As temperature increases, this fraction increases, and the reaction rate also increases. β Hence, e^(-Ea/RT) is the correct answer.
- A) ln k β It is the natural logarithm of the rate constant, not the energy fraction term.
- B) ln A β It is the natural logarithm of the frequency factor, not the fraction of energetic molecules.
- C) RT β It represents thermal energy term, but not the probability fraction by itself.
Used
- Option A β Reject because ln k is not the Boltzmann factor.
- Option B β Reject because ln A is related to frequency factor.
- Option C β Reject because RT alone is not a probability factor.
- Option D β Select because the exponential term represents the required fraction.
- Final Answer β Fraction of molecules with sufficient energy is represented by e^(-Ea/RT).
3 What is the another term used for probability factor (P) in collision theory? (PYQ 2024)
Collision theory explains reaction rate using effective collisions. Probability factor accounts for proper orientation of colliding molecules. It is also called steric factor.
(Detailed) β According to collision theory, a reaction occurs only when reactant molecules collide effectively. β For a collision to be effective, molecules must have sufficient energy and proper orientation. β The probability factor P represents the fraction of collisions having correct orientation for product formation. β This orientation factor is known as the steric factor. β Hence, Steric factor is the correct answer.
- A) Temperature factor β Temperature affects kinetic energy, not directly the orientation probability.
- B) Compressibility factor β This is used in real gas behaviour and is unrelated to collision orientation.
- D) Concentration factor β Concentration affects number of collisions, not the orientation probability.
Used
- Option A β Reject because temperature affects energy.
- Option B β Reject because compressibility belongs to real gases.
- Option C β Select because probability factor means steric factor.
- Option D β Reject because concentration affects collision frequency.
- Final Answer β Probability factor in collision theory = Steric factor.
4 A first order reaction has a half-life of 693 sec. What will be its rate constant? (PYQ 2024)
For a first order reaction, tβ/β = 0.693/k. Given half-life = 693 sec. Substituting gives k = 0.001 secβ»ΒΉ.
(Detailed) β For a first order reaction: β tβ/β = 0.693/k β Therefore: β k = 0.693/tβ/β β Given, tβ/β = 693 sec β k = 0.693/693 β k = 0.001 secβ»ΒΉ β Hence, 0.001 secβ»ΒΉ is the correct answer.
- A) 0.01 secβ»ΒΉ β If k = 0.01 secβ»ΒΉ, then tβ/β = 69.3 sec, not 693 sec.
- B) 1 secβ»ΒΉ β If k = 1 secβ»ΒΉ, then tβ/β = 0.693 sec, not 693 sec.
- D) 0.1 secβ»ΒΉ β If k = 0.1 secβ»ΒΉ, then tβ/β = 6.93 sec, not 693 sec.
Used
- Option A β Reject because it gives half-life 69.3 sec.
- Option B β Reject because it gives half-life 0.693 sec.
- Option C β Select because 0.693/693 = 0.001 secβ»ΒΉ.
- Option D β Reject because it gives half-life 6.93 sec.
- Final Answer β Use first order half-life formula.
5 Arrange the following rate constant units in increasing order of their order of reaction: (PYQ 2024)
Statements:
(A) secβ»ΒΉ
(B) mol Lβ»ΒΉ secβ»ΒΉ
(C) molβ»ΒΉ L secβ»ΒΉ
(D) molβ»Β² LΒ² secβ»ΒΉ
Units of rate constant depend on reaction order. Zero order: mol Lβ»ΒΉ secβ»ΒΉ. First order: secβ»ΒΉ. Second order: molβ»ΒΉ L secβ»ΒΉ. Third order: molβ»Β² LΒ² secβ»ΒΉ.
(Detailed) β The unit of rate constant changes with the order of reaction. β For zero order reaction, unit of k = mol Lβ»ΒΉ secβ»ΒΉ. β Therefore, statement (B) represents zero order. β For first order reaction, unit of k = secβ»ΒΉ. β Therefore, statement (A) represents first order. β For second order reaction, unit of k = L molβ»ΒΉ secβ»ΒΉ or molβ»ΒΉ L secβ»ΒΉ. β Therefore, statement (C) represents second order. β For third order reaction, unit of k = LΒ² molβ»Β² secβ»ΒΉ or molβ»Β² LΒ² secβ»ΒΉ. β Therefore, statement (D) represents third order. β Increasing order of reaction order is: β Zero order < First order < Second order < Third order β Hence, (B) < (A) < (C) < (D) is the correct sequence.
- A) (C) < (A) < (B) < (D) β This incorrectly places second order before first and zero order.
- B) (C) < (B) < (A) < (D) β This incorrectly places second order before zero order.
- D) (A) < (B) < (C) < (D) β This incorrectly places first order before zero order.
Used
- Option A β Reject because second order cannot come before zero and first order.
- Option B β Reject because second order is wrongly placed first.
- Option C β Select because it follows zero, first, second and third order.
- Option D β Reject because zero order should come before first order.
- Final Answer β Match each unit with its reaction order first.
6 The decomposition of NHβ on a platinum surface is a zero-order reaction. If k = 2.5 Γ 10β»β΄ mol Lβ»ΒΉ sβ»ΒΉ, the rate of production of Hβ is: (PYQ 2022)
For zero-order reaction, rate = k. Reaction: 2NHβ β Nβ + 3Hβ. Rate of production of Hβ = 3 Γ rate of reaction.
(Detailed) β For a zero-order reaction, rate of reaction is equal to rate constant k. β Given: β k = 2.5 Γ 10β»β΄ mol Lβ»ΒΉ sβ»ΒΉ β The balanced reaction is: β 2NHβ β Nβ + 3Hβ β From the equation, 3 moles of Hβ are produced for one reaction unit. β Therefore, rate of production of Hβ = 3 Γ k β Rate of production of Hβ = 3 Γ 2.5 Γ 10β»β΄ β Rate of production of Hβ = 7.5 Γ 10β»β΄ mol Lβ»ΒΉ sβ»ΒΉ β Hence, 7.5 Γ 10β»β΄ mol Lβ»ΒΉ sβ»ΒΉ is the correct answer.
- A) 2.5 Γ 10β»β΄ mol Lβ»ΒΉ sβ»ΒΉ β This is only the rate constant k, not the rate of production of Hβ.
- B) 5.0 Γ 10β»β΄ mol Lβ»ΒΉ sβ»ΒΉ β This corresponds to 2 Γ k, not 3 Γ k.
- D) 1.25 Γ 10β»β΄ mol Lβ»ΒΉ sβ»ΒΉ β This incorrectly divides the value instead of multiplying.
Used
- Option A β Reject because it ignores coefficient of Hβ.
- Option B β Reject because it uses coefficient 2 instead of 3.
- Option C β Select because Hβ coefficient is 3.
- Option D β Reject because division is not required here.
- Final Answer β Use stoichiometric coefficient of Hβ.
7 The molecularity of the elementary reaction NHβNOβ β Nβ + 2HβO is: (PYQ 2022)
Molecularity is defined for elementary reactions. It is the number of reacting species involved in a step. Here, only one molecule of NHβNOβ decomposes.
(Detailed) β Molecularity is the number of reacting species taking part in an elementary reaction. β In the given reaction: β NHβNOβ β Nβ + 2HβO β Only one reactant molecule, NHβNOβ, is involved on the reactant side. β Therefore, the reaction is unimolecular. β Hence, molecularity is one.
- A) Zero β Molecularity can never be zero.
- C) Two β This would mean two reacting molecules are involved, but only one molecule is present on the reactant side.
- D) Three β This would mean three reacting molecules are involved, which is not true here.
Used
- Option A β Reject because molecularity cannot be zero.
- Option B β Select because only one reactant molecule is involved.
- Option C β Reject because there are not two reacting molecules.
- Option D β Reject because there are not three reacting molecules.
- Final Answer β Count reactant molecules in the elementary step.
8 A reaction proceeds through four elementary steps, and the overall rate constant follows the relation:
k = (kβ Γ kβ Γ βkβ) / kβ
The activation energies of the steps Eaβ, Eaβ, Eaβ and Eaβ are 10 kJ molβ»ΒΉ, 30 kJ molβ»ΒΉ, 40 kJ molβ»ΒΉ and 20 kJ molβ»ΒΉ, respectively. Determine the overall activation energy for the reaction. (PYQ 2023)
Use the relation between rate constants. Activation energies in numerator are added. Activation energy in denominator is subtracted. Powers act as multipliers.
(Detailed) β Given relation: β k = (kβ Γ kβ Γ βkβ) / kβ β Therefore, the overall activation energy is: β Ea = Eaβ + Eaβ β Eaβ + 1/2 Eaβ β Substitute the values: β Ea = 10 + 30 β 40 + 1/2(20) β Ea = 40 β 40 + 10 β Ea = 10 kJ molβ»ΒΉ β Hence, 10 kJ molβ»ΒΉ is the correct answer.
- A) 0 kJ molβ»ΒΉ β This may be obtained if the βkβ contribution is ignored.
- B) 100 kJ molβ»ΒΉ β This is obtained by simply adding all activation energies without considering the relation.
- C) 20 kJ molβ»ΒΉ β This may result from incorrect subtraction or power treatment.
Used
- Option A β Reject because βkβ contribution must be included.
- Option B β Reject because all terms cannot be simply added.
- Option C β Reject because the denominator and square-root effect are not handled correctly.
- Option D β Select because correct substitution gives 10 kJ molβ»ΒΉ.
- Final Answer β Add numerator terms, subtract denominator terms and multiply by powers.
9 A chemical reaction is second order with respect to A and first order with respect to B. If the concentration of A is reduced to half and the concentration of B becomes one-third of its original value, what will be the new reaction rate compared to the initial rate? (PYQ 2023)
Rate law is Rate = k[A]Β²[B]. A becomes half, so its effect is squared. B becomes one-third. New rate = (1/2)Β² Γ (1/3) = 1/12.
(Detailed) β Since the reaction is second order with respect to A and first order with respect to B: β Rate = k[A]Β²[B] β New concentration of A = 1/2[A] β New concentration of B = 1/3[B] β New rate: β Rβ² = k(1/2[A])Β²(1/3[B]) β Rβ² = k Γ 1/4[A]Β² Γ 1/3[B] β Rβ² = 1/12 k[A]Β²[B] β Rβ² = 1/12 R β Therefore, the new rate is 1/12 times the initial rate.
- A) 12 times β This would apply if concentration increased instead of decreased.
- C) 6 times β This ignores the second-order effect of A.
- D) 1/6 times β This treats the concentration changes incorrectly.
Used
- Option A β Reject because concentration is reduced, so rate cannot increase.
- Option B β Select because (1/2)Β² Γ (1/3) = 1/12.
- Option C β Reject because the reaction rate decreases, not increases.
- Option D β Reject because it does not square the change in A correctly.
- Final Answer β Apply concentration changes using powers from the rate law.
10 For the reaction:
CHClβ + Clβ β CClβ + HCl
Rate law:
Rate = k[CHClβ][Clβ]ΒΉαΒ²
Determine the order and molecularity of the reaction. (PYQ 2023)
Order is calculated from the rate law. Molecularity is counted from reacting molecules. Order = 1 + 1/2 = 3/2. Molecularity = 2.
(Detailed) β Given rate law is: β Rate = k[CHClβ][Clβ]ΒΉαΒ² β Order with respect to CHClβ = 1. β Order with respect to Clβ = 1/2. β Overall order = 1 + 1/2 = 3/2. β Molecularity is the number of reacting molecules involved in the reaction step. β In the reaction: β CHClβ + Clβ β CClβ + HCl β One molecule of CHClβ and one molecule of Clβ are involved. β Therefore, molecularity = 2. β Hence, order and molecularity are 3/2 and 2 respectively.
- A) 3/2 and 0 β Molecularity cannot be zero.
- C) 3/2 and 3/2 β Molecularity cannot be fractional.
- D) 2 and 3/2 β Order is not 2 and molecularity cannot be fractional.
Used
- Option A β Reject because molecularity cannot be zero.
- Option B β Select because order = 3/2 and molecularity = 2.
- Option C β Reject because molecularity must be a whole number.
- Option D β Reject because both order and molecularity are incorrectly stated.
- Final Answer β Use rate law for order and reaction equation for molecularity.
11 For the reaction:
aX β bY
logββ(dx/dt) = logββ(dy/dt) + 0.4771
Given: log 3 = 0.4771
X and Y respectively are: (PYQ 2023)
The logarithmic relation shows a rate ratio of 3 : 1. This means 3 molecules of X form 1 molecule of Y. The reaction matching this is 3CβHβ β CβHβ.
(Detailed) β Given: β logββ(dx/dt) = logββ(dy/dt) + 0.4771 β Since log 3 = 0.4771, β logββ(dx/dt) = logββ(dy/dt) + log 3 β Therefore: β logββ(dx/dt) = logββ[3(dy/dt)] β So, β dx/dt = 3dy/dt β This indicates the stoichiometric relation: β 3X β Y β The reaction that matches this is: β 3CβHβ β CβHβ β This is the trimerisation of acetylene to benzene. β Hence, CβHβ and CβHβ is the correct answer.
- B) Pentane and 2,2-dimethylpropane β This represents isomerisation with 1 : 1 ratio, not 3 : 1.
- C) Oβ and Oβ β The relation is 3Oβ β 2Oβ, giving 3 : 2 ratio, not 3 : 1.
- D) NβOβ and NOβ β The relation is NβOβ β 2NOβ, giving 1 : 2 ratio, not 3 : 1.
Used
- Option A β Matches 3X β Y stoichiometry.
- Option B β Reject because it is 1 : 1 conversion.
- Option C β Reject because it gives 3 : 2 ratio.
- Option D β Reject because it gives 1 : 2 ratio.
- Final Answer β log 3 indicates 3 : 1 stoichiometry.
12 Which of the following is not the graphical representation of first-order kinetics? (PYQ 2023)
For a first-order reaction, half-life is independent of initial concentration. tβ/β = 0.693/k. Therefore, tβ/β versus [A]β should be a horizontal line, not a vertical line.
(Detailed) β For a first-order reaction: β tβ/β = 0.693/k β This formula shows that half-life depends only on the rate constant k. β It does not depend on the initial concentration [A]β. β Therefore, a graph of tβ/β against [A]β should be a horizontal straight line. β A vertical line for tβ/β versus [A]β is not a correct graphical representation of first-order kinetics. β Hence, option D is not the correct graphical representation of first-order kinetics.
- A) [Graph option A] β This is correct because log[A]β versus time gives a straight line with negative slope for a first-order reaction.
- B) [Graph option B] β This is correct because concentration decreases exponentially with time in a first-order reaction.
- C) [Graph option C] β This is correct because ln([A]β/[A]β) = kt gives a straight line passing through the origin.
Used
- Option A β Reject because it represents valid first-order kinetics.
- Option B β Reject because exponential decrease is valid for first-order reaction.
- Option C β Reject because ln([A]β/[A]β) versus time is valid.
- Option D β Select because first-order half-life cannot depend on initial concentration.
- Final Answer β First-order half-life remains constant.
13 Which of the following could not be a rate determining step? (PYQ 2023)
Rate-determining step is usually the slowest step. It is generally written as an irreversible elementary step. A reversible equilibrium step is usually not considered the rate-determining step.
(Detailed) β A rate-determining step controls the overall rate of a reaction mechanism. β It is generally the slowest elementary step in the mechanism. β Such a step is usually written as a one-way reaction. β In option B: β Oβ β Oβ + O β This is a reversible equilibrium step. β Since equilibrium is established through both forward and backward reactions, it is generally not considered the slow rate-controlling step. β Hence, Oβ β Oβ + O could not be the rate determining step.
- A) NOβ + NOβ β NOβ + NO β This is an elementary bimolecular step and can be slow, so it may act as a rate-determining step.
- C) HβOβ + Iβ» β HβO + IOβ» β This can act as a slow step in the iodide-catalysed decomposition of hydrogen peroxide.
- D) NOβ + Fβ β NOβF + F β This is an elementary step and can be slow, so it may act as a rate-determining step.
Used
- Option A β Reject because it can be a slow elementary step.
- Option B β Select because it is a reversible equilibrium step.
- Option C β Reject because it can be a slow reaction step.
- Option D β Reject because it can be a slow elementary step.
- Final Answer β Rate-determining step is usually a one-way slow step, not an equilibrium step.
14 For the following reaction:
2Aβ(g) + 1/4 X(g) β 2AβX(g)
Volume is increased to double its value by decreasing the pressure on it. If the reaction is first order with respect to X and second order with respect to Aβ, the rate of reaction will: (PYQ 2024)
Rate = k[Aβ]Β²[X]. Doubling volume halves the concentration of gases. New rate = (1/2)Β² Γ (1/2) = 1/8 of the original rate.
(Detailed) β The reaction is second order with respect to Aβ and first order with respect to X. β Therefore, the rate law is: β Rate = k[Aβ]Β²[X] β When volume is doubled, the concentration of each gaseous reactant becomes half. β New concentration of Aβ = [Aβ]/2 β New concentration of X = [X]/2 β New rate = k([Aβ]/2)Β²([X]/2) β New rate = k[Aβ]Β²[X] Γ 1/4 Γ 1/2 β New rate = original rate Γ 1/8 β Therefore, the rate decreases to 1/8 of its initial value. β Hence, it decreases by eight times of its initial value.
- B) Increase by eight times of its initial value β This is incorrect because concentration decreases when volume increases.
- C) Increase by four times of its initial value β This is incorrect because the rate does not increase.
- D) Remain unchanged β This is incorrect because rate depends on concentration of reactants.
Used
- Option A β Select because new rate becomes 1/8 of original rate.
- Option B β Reject because direction of change is wrong.
- Option C β Reject because rate decreases, not increases.
- Option D β Reject because concentration affects rate.
- Final Answer β Double volume β half concentration β apply powers in rate law.
15 Identify the order of reaction if its rate constant is k = 2 Γ 10β»Β² sβ»ΒΉ. (PYQ 2024)
Unit of rate constant helps identify order. For first order reaction, unit of k is sβ»ΒΉ. Given k = 2 Γ 10β»Β² sβ»ΒΉ.
(Detailed) β The unit of rate constant depends on the order of reaction. β For a first order reaction, the unit of rate constant is timeβ»ΒΉ. β In the given question: β k = 2 Γ 10β»Β² sβ»ΒΉ β The unit sβ»ΒΉ clearly matches a first order reaction. β Therefore, the reaction is first order. β Hence, First order is the correct answer.
- A) Zero order β For zero order reaction, unit of k is mol Lβ»ΒΉ sβ»ΒΉ, not sβ»ΒΉ.
- C) Second order β For second order reaction, unit of k is L molβ»ΒΉ sβ»ΒΉ.
- D) Half order β Half order reactions have different units and do not match sβ»ΒΉ.
Used
- Option A β Reject because zero order does not have unit sβ»ΒΉ.
- Option B β Select because first order has unit sβ»ΒΉ.
- Option C β Reject because second order has concentrationβ»ΒΉ timeβ»ΒΉ unit.
- Option D β Reject because half order unit does not match the given unit.
- Final Answer β Unit sβ»ΒΉ directly indicates first order.
16 For a complex reaction, the order of reaction is equal to: (PYQ 2024)
Complex reactions occur in multiple steps. The slowest step controls the rate. The slowest step is called the rate-determining step.
(Detailed) β Complex reactions do not usually occur in a single step. β They proceed through a series of elementary steps. β The slowest step in the mechanism determines the overall rate of reaction. β This slowest step is known as the rate-determining step. β For such reactions, the order is related to the molecularity of the slowest step. β Hence, the molecularity of slowest step of reaction is the correct answer.
- A) Sum of stoichiometric coefficients in balanced chemical reaction β Order cannot generally be obtained from the balanced chemical equation for complex reactions.
- B) The molecularity of overall reaction β Molecularity is defined for elementary steps, not for the overall complex reaction.
- C) Order of fastest step of the reaction β The fastest step does not determine the rate of the reaction.
Used
- Option A β Reject because stoichiometric coefficients do not give order for complex reactions.
- Option B β Reject because overall molecularity is not used for complex reactions.
- Option C β Reject because fastest step does not control rate.
- Option D β Select because slowest step is rate-determining.
- Final Answer β Slowest step decides the rate and hence the order.
17 If 75% of a first order reaction gets completed in 32 minutes, time taken for 50% completion of this reaction is: (PYQ 2024)
50% completion means one half-life. 75% completion means two half-lives. 32 minutes = 2 half-lives, so one half-life = 16 minutes.
(Detailed) β For a first order reaction, half-life is independent of initial concentration. β 50% completion means half of the reactant has reacted. β This time is one half-life, tβ/β. β 75% completion means only 25% of the reactant remains. β This means the reaction has completed two half-lives. β Given time for 75% completion = 32 minutes. β Therefore: β 2tβ/β = 32 minutes β tβ/β = 16 minutes β Hence, time taken for 50% completion is 16 minutes.
- B) 78 minutes β This is much higher and does not follow first-order half-life logic.
- C) 8 minutes β This is half of the correct half-life value.
- D) 4 minutes β This is too low and not related to the given 75% completion time.
Used
- Option A β Select because 75% completion = 2 half-lives = 32 minutes, so 1 half-life = 16 minutes.
- Option B β Reject because it overestimates the time.
- Option C β Reject because it divides 32 incorrectly.
- Option D β Reject because it is not supported by first-order kinetics.
- Final Answer β 50% completion time = one half-life = 16 minutes.
18 What is the overall order of reaction which has the following rate expression?
Rate = k[A]Β²[B]ΒΉαΒ² (PYQ 2024)
Overall order is the sum of powers in rate law. Power of [A] = 2. Power of [B] = 1/2. The calculated order is 2.5, but the provided answer key marks Three.
(Detailed) β The order of reaction is calculated from the powers of concentration terms in the rate law. β Given rate expression is: β Rate = k[A]Β²[B]ΒΉαΒ² β Order with respect to A = 2. β Order with respect to B = 1/2. β Overall order = 2 + 1/2 = 2.5. β However, the given options do not contain 2.5. β According to the provided answer key, option D) Three is selected. β Hence, Three is given as the correct answer from the provided source.
- A) One β This is too low and ignores the powers in the rate law.
- B) Two β This counts only [A]Β² and ignores [B]ΒΉαΒ².
- C) Zero β This is incorrect because the rate depends on reactant concentrations.
Used
- Option A β Reject because total order is not 1.
- Option B β Reject because [B]ΒΉαΒ² is not counted.
- Option C β Reject because the reaction is not zero order.
- Option D β Selected according to the provided answer key.
- Final Answer β Sum the powers in rate expression, then match with given answer key.
19 Inverse of rate constant is: (PYQ 2024)
Unit of rate constant depends on reaction order. For zero order reaction, k has unit concentration/time. Inverse of k gives time/concentration.
(Detailed) β The unit of rate constant changes according to the order of reaction. β For zero order reaction: β Rate = k β Therefore, k has the same unit as rate. β Unit of k = concentration per unit time. β The inverse of rate constant is therefore associated with time/concentration. β Among the given options, zero order reaction is the correct answer. β Hence, Zero order reaction is the correct answer.
- B) Pseudo first order reaction β It behaves like a first order reaction and its rate constant has unit timeβ»ΒΉ.
- C) Second order reaction β Its rate constant has unit concentrationβ»ΒΉ timeβ»ΒΉ.
- D) Third order reaction β Its rate constant has unit concentrationβ»Β² timeβ»ΒΉ.
Used
- Option A β Select because zero order has rate constant directly related to rate unit.
- Option B β Reject because pseudo first order behaves like first order.
- Option C β Reject because second order has a different rate constant unit.
- Option D β Reject because third order has a different dimensional form.
- Final Answer β Identify order using unit/dimension of rate constant.
