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Chemical Kinetics · Question 28

JEE Main 2025 (Online) 8th April Evening ShiftMCQEasy📈 Topic in 29% papers+4−1
1

In a first order decomposition reaction, the time taken for the decomposition of reactant to one fourth and one eighth of its initial concentration are t1 and t2 (s), respectively. The ratio t1/t2 will be:

  1. 43
  2. 32
  3. 34
  4. 23

Answer

(4) 23

Solution

For a first order reaction:

t = 2.303k [R]0[R]

Reactant reduced to one fourth: [R] = [R]04

t1 = 2.303k 4 = 2.303k 2 2

Reactant reduced to one eighth: [R] = [R]08

t2 = 2.303k 8 = 2.303k 3 2

t1t2 = 2 23 2 = 23

(Equivalently, t1 = 2t1/2 and t2 = 3t1/2.)

Answer: (4)

JEE Main 2025 (Online) 8th April Evening Shift

Keep practising — Chemical Kinetics

2

A person's wound was exposed to some bacteria and then bacterial growth started to happen at the same place. The wound was later treated with some antibacterial medicine and the rate of bacterial decay (r) was found to be proportional with the square of the existing number of bacteria at any instance. Which of the following set of graphs correctly represents the 'before' and 'after' situation of the application of the medicine? [Given: N = No. of bacteria, t = time, bacterial growth follows 1st order kinetics.]

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
JEE Main 2025 (Online) 7th April Morning Shift
3

Reaction A(g) 2B(g) + C(g) is a first order reaction. It was started with pure A. array|c|c| t/min & Pressure of system at time t/mm Hg \ 10 & 160 \ & 240 \ array Which of the following option is incorrect?

  1. Initial pressure of A is 80 mm Hg
  2. The reaction never goes to completion
  3. Partial pressure of A after 10 minutes is 40 mm Hg
  4. Rate constant of the reaction is 1.693 min-1
JEE Main 2025 (Online) 7th April Morning Shift
4

A(g) B(g) + C(g) is a first order reaction. array|l|c|c| Time & t & \ Psystem & Pt & P \ array The reaction was started with reactant A only. Which of the following expressions is correct for rate constant k?

  1. k = 1t P Pt
  2. k = 1t P 2(P - Pt)
  3. k = 1t 2(P - Pt)Pt
  4. k = 1t P (P - Pt)
JEE Main 2025 (Online) 7th April Evening Shift
5

For A2 + B2 2AB Ea for forward and backward reaction are 180 and 200 kJ mol-1 respectively. If catalyst lowers Ea for both reactions by 100 kJ mol-1. Which of the following statement is correct?

  1. Catalyst does not alter the Gibbs energy change of a reaction.
  2. The enthalpy change for the reaction is +20 kJ mol-1.
  3. Catalyst can cause non-spontaneous reactions to occur.
  4. The enthalpy change for the catalysed reaction is different from that of uncatalysed reaction.
JEE Main 2025 (Online) 4th April Morning Shift
6

Rate law for a reaction between A and B is given by r = k[A]n[B]m If concentration of A is doubled and concentration of B is halved from their initial value, the ratio of new rate of reaction to the initial rate of reaction ( r2r1 ) is

  1. (n-m)
  2. 2(n-m)
  3. 12m+n
  4. (m+n)
JEE Main 2025 (Online) 4th April Morning Shift
7

Consider the following plots of log of rate constant k (log k) vs 1T for three different reactions. The correct order of activation energies of these reactions is : [figure]

  1. Ea2 > Ea1 > Ea3
  2. Ea1 > Ea3 > Ea2
  3. Ea3 > Ea2 > Ea1
  4. Ea1 > Ea2 > Ea3
JEE Main 2025 (Online) 4th April Evening Shift
8

Half life of zero order reaction A product is 1 hour, when initial concentration of reactant is 2.0 mol L-1. The time required to decrease concentration of A from 0.50 to 0.25 mol L-1 is :

  1. 0.5 hour
  2. 15 min
  3. 60 min
  4. 4 hour
JEE Main 2025 (Online) 4th April Evening Shift
9

In a reaction A + B C, initial concentrations of A and B are related as [A]0 = 8[B]0. The half-lives of A and B are 10 min and 40 min, respectively. If they start to disappear at the same time, both following first order kinetics, after how much time will the concentration of both the reactants be same?

  1. 20 min
  2. 40 min
  3. 80 min
  4. 60 min
JEE Main 2025 (Online) 3rd April Morning Shift
10

Consider the following statements related to temperature dependence of rate constants. Identify the correct statements. Choose the correct answer from the options given below:

  1. A, C and D Only
  2. B, D and E Only
  3. B and C Only
  4. A and B Only
JEE Main 2025 (Online) 3rd April Evening Shift
11

For the reaction A products. [figure] The concentration of A at 10 minutes is 10-3 mol L-1 (nearest integer). The reaction was started with 2.5 mol L-1 of A.

JEE Main 2025 (Online) 2nd April Morning Shift

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