Core Syllabus Module

Chemical Kinetics

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JEE Advanced 2023

LEVELJEE Advanced

The plot of $lo g k_{f}$ versus $\frac{1}{T}$ for a reversible reaction $A (g) ⇌ P (g)$ is shown. [JEE(Advanced) 2023] Pre-exponential factors for the forward and backward reactions are $1 0^{15} s^{- 1}$ and $1 0^{11} s^{- 1}$ , respectively. If the value of $lo g K$ for the reaction at $500 K$ is $6$ , the value of $∣ lo g k_{b} ∣$ at $250 K$ is ______. [ $K = equilibrium constant of the reaction$ $k_{f} = rate constant of forward reaction$ $k_{b} = rate constant of backward reaction$ ]

JEE Advanced 2018

LEVELJEE Advanced

Consider the following reversible reaction, $A(g) + B(g) ⇌ AB(g)$ . The activation energy of the backward reaction exceeds that of the forward reaction by $2 R T$ (in $J mol^{- 1}$ ). If the pre-exponential factor of the forward reaction is 4 times that of the reverse reaction, the absolute value of $Δ G^{θ}$ (in $J mol^{- 1}$ ) for the reaction at 300 K is____. (Given ; $ln (2) = 0.7$ , $R T = 2500 J mol^{- 1}$ at 300 K and G is the Gibbs energy)

JEE Main 2019

LEVELJEE Advanced

The decomposition reaction $2 N_{2} O_{5} (g) Δ 2 N_{2} O_{4} (g) + O_{2} (g)$ is started in a closed cylinder under isothermal isochoric condition at an initial pressure of 1 atm. After $Y \times 1 0^{3} s$ , the pressure inside the cylinder is found to be 1.45 atm. If the rate constant of the reaction is $5 \times 1 0^{- 4} s^{- 1}$ , assuming ideal gas behavior, the value of Y is ______.

JEE Main 2021

LEVELJEE Advanced

For the following reaction $2 X + Y k P$ the rate of reaction is $\frac{d [ P ]}{d t} = k [X]$ . Two moles of X are mixed with one mole of Y to make 1.0 L of solution. At 50 s, 0.5 mole of Y is left in the reaction mixture. The correct statement(s) about the reaction is(are) (Use: $ln 2 = 0.693$ )

* Multiple Correct Options

(A)

The rate constant,

k

, of the reaction is

13.86 \times 1 0^{- 4} s^{- 1}

(B)

Half-life of X is 50s.

(C)

At 50 s,

- \frac{d [ X ]}{d t} = 13.86 \times 1 0^{- 3} mol L^{- 1} s^{- 1}

(D)

At 100 s,

- \frac{d [ Y ]}{d t} = 3.46 \times 1 0^{- 3} mol L^{- 1} s^{- 1}

JEE Advanced 2018

LEVELJEE Advanced

For a first order reaction A(g) $\to$ 2B(g) + C(g) at constant volume and 300 K, the total pressure at the beginning (t = 0) and at time t are $P_{0}$ and $P_{t}$ , respectively. Initially, only A is present with concentration $[A]_{0}$ , and $t_{1/3}$ is the time required for the partial pressure of A to reach $1/ 3^{rd}$ of its initial value. The correct option(s) is (are) :- (Assume that all these gases behave as ideal gases)

* Multiple Correct Options

Match the rate expressions in LIST-I for the decomposition of X with the corresponding profiles provided in LIST-II. $X_{s}$ and $k$ constants having appropriate units.

List-I

(P)

rate = \frac{k [ X ]}{X _{s} + [ X ]}

under all possible initial concentration of X

(Q)

rate = \frac{k [ X ]}{X _{s} + [ X ]}

where initial concentration of X are much less than

X_{s}

(R)

rate = \frac{k [ X ]}{X _{s} + [ X ]}

where initial concentration of X are much higher than

X_{s}

(S)

rate = \frac{k [ X ] ^{2}}{X _{s} + [ X ]}

where initial concentration of X is much higher than

X_{s}

List-II

(1)

Graph of half life (

t_{1/2}

) vs initial concentration of X

(2)

Graph of half life (

t_{1/2}

) vs initial concentration of X

(3)

Graph of rate vs initial concentration

(4)

Graph of

[X]

vs time

(5)

Graph of

ln [X]

vs time

JEE Main 2025

LEVELJEE Advanced

Consider a reaction $A + R \to P r o d u c t$ . The rate of this reaction is measured to be $k [A] [R]$ . At the start of the reaction, the concentration of $R$ , $[R]_{0}$ , is 10-times the concentration of $A$ , $[A]_{0}$ . The reaction can be considered to be a pseudo first order reaction with assumption that $k [R] = k^{'}$ is constant. Due to this assumption, the relative error (in %) in the rate when this reaction is 40% complete, is ______. [ $k$ and $k^{'}$ represent corresponding rate constants]

JEE Main 2020

LEVELJEE Advanced

A sample of milk splits after $60 min.$ at $300 K$ and after $40 min.$ at $400 K$ when the population of lactobacillus acidophilus in it doubles. The activation energy (in $kJ/mol$ ) for this process is closest to (Given, $R = 8.3 J mol^{- 1} K^{- 1}$ , $ln (\frac{2}{3}) = 0.4, e^{- 3} = 4.0$ )

JEE Main 2019

LEVELJEE Advanced

Consider the given plot of enthalpy of the following reaction between $A$ and $B$ . $A + B ⟶ C + D$ Identify the incorrect statement.

(A)

D is kinetically stable product.

(B)

Formation of A and B from C has highest enthalpy of activation.

(C)

C is the thermodynamically stable product.

(D)

Activation enthalpy to form C is

5 kJ mol^{- 1}

less than that to form D.

JEE Main 2020

LEVELJEE Advanced

The rate of a reaction decreased by $3.555$ times when the temperature was changed from $4 0^{\circ} C$ to $3 0^{\circ} C$ . The activation energy (in $kJ mol^{- 1}$ ) of the reaction is ......... . (Take; $R = 8.314 J mol^{- 1} K^{- 1}$ , $ln 3.555 = 1.268$ )

JEE Main 2020

LEVELJEE Advanced

The number of molecules with energy greater than the threshold energy for a reaction increases five fold by a rise of temperature from $2 7^{\circ} C$ to $4 2^{\circ} C$ . Its energy of activation in $J/mol$ is ......... . (Take $ln 5 = 1.6094$ ; $R = 8.314 J mol^{- 1} K^{- 1}$ )

JEE Main 2021

LEVELJEE Advanced

The rate constant of a reaction increases by five times on increase in temperature from $2 7^{\circ} C$ to $5 2^{\circ} C$ . The value of activation energy in $kJ mol^{- 1}$ is ……… (Rounded off to the nearest integer) $[R = 8.314 J K^{- 1} mol^{- 1}]$

JEE Main 2021

LEVELJEE Advanced

For the first order reaction, $A ⟶ 2 B$ , 1 mole of reactant $A$ gives 0.2 moles of $B$ after 100 minutes. The half-life of the reaction is ............... min. (Round off to the nearest integer). [Use : $ln 2 = 0.69$ , $ln 10 = 2.3$ ; properties of logarithms : $ln x^{y} = y ln x$ ; $ln (\frac{x}{y}) = ln x - ln y$ ]

JEE Main 2021

LEVELJEE Advanced

Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with a half-life of $3.33 h$ at $2 5^{\circ} C$ . After $9 h$ , the fraction of sucrose remaining is $f$ . The value of $lo g_{10} (\frac{1}{f})$ is ...... $\times 1 0^{- 2}$ (Rounded off to the nearest integer). [Assume, $ln 10 = 2.303$ , $ln 2 = 0.693$ ]

JEE Main 2019

LEVELJEE Advanced

A bacterial infection in an internal wound grows as $N^{'} (t) = N_{0} exp (t)$ , where the time $t$ is in hours. A dose of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down as $\frac{d N}{d t} = - 5 N^{2}$ . What will be the plot of $\frac{N _{0}}{N}$ vs $t$ after 1 hour ?

The first order rate constant for the decomposition of $CaCO_{3}$ at $700 K$ is $6.36 \times 1 0^{- 3} s^{- 1}$ and activation energy is $209 kJ mol^{- 1}$ . Its rate constant (in $s^{- 1}$ ) at $600 K$ is $x \times 1 0^{- 6}$ . The value of $x$ is .......... . (Nearest integer) [Given, $R = 8.31 J K^{- 1} mol^{- 1}$ , $lo g 6.36 \times 1 0^{- 3} = - 2.19, 1 0^{- 4.79} = 1.62 \times 1 0^{- 5}$ ]

JEE Main 2021

LEVELJEE Advanced

The reaction rate for the reaction $[P tC l_{4}]^{2 -} + H_{2} O ⇌ [P t (H_{2} O) C l_{3}]^{-} + C l^{-}$ was measured as a function of concentrations of different species. It was observed that $\frac{- d [[ P tC l _{4} ] ^{2 -} ]}{d t} = 4.8 \times 1 0^{- 5} [[P tC l_{4}]^{2 -}] - 2.4 \times 1 0^{- 3} [[P t (H_{2} O) C l_{3}]^{-}] [C l^{-}]$ where, square brackets are used to denote molar concentrations. The equilibrium constant, $K_{c} = \dots\dots\dots$ . (Nearest integer)

JEE Advanced 2026

LEVELJEE Main

For a first-order reaction R $⟶$ P at a given temperature, $k$ is the rate constant. For this reaction, at the given temperature, the concentrations of R and P at a time $t$ are [R] and [P], respectively. The correct graphical representation(s) for this reaction is(are)

* Multiple Correct Options

According to the Arrhenius equation,

* Multiple Correct Options

(A)

A high activation energy usually implies a fast reaction

(B)

Rate constant increase with increase in temperature. This is due to a greater number of collisions whose energy exceeds the activation energy

(C)

Higher the magnitude of activation energy, stronger is the temperature dependence of the rate constant

(D)

The pre-exponential factor is a measure of the rate at which collisions occur, irrespective of their energy.

JEE Advanced 2020

LEVELJEE Main

Which of the following plots is(are) correct for the given reaction? ( $[P]_{0}$ is the initial concentration of P)

* Multiple Correct Options

Micro-Topic Strategy Matrix

Rate of Chemical Reaction

Order and Molecularity

Theories of Chemical Reaction

Chapter Elite-20 Challenge Zone

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Match the rate expressions in LIST-I for the decomposition of X with the corresponding profiles provided in LIST-II. Xs​ and k constants having appropriate units.

List-I

List-II

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Consider the given plot of enthalpy of the following reaction between A and B. A+B⟶C+D Identify the incorrect statement.

According to the Arrhenius equation,

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Which of the following plots is(are) correct for the given reaction? ([P]0​ is the initial concentration of P)

Match the rate expressions in LIST-I for the decomposition of X with the corresponding profiles provided in LIST-II. $X_{s}$ and $k$ constants having appropriate units.

Consider the given plot of enthalpy of the following reaction between $A$ and $B$ . $A + B ⟶ C + D$ Identify the incorrect statement.

Which of the following plots is(are) correct for the given reaction? ( $[P]_{0}$ is the initial concentration of P)