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Tamil Nadu Board of Secondary EducationHSC Science Class 12

After 2 hours, a radioactive substance becomes th(116)th of original amount. Then the half life ( in min) is

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Question

After 2 hours, a radioactive substance becomes `(1/16)^"th"` of original amount. Then the half life ( in min) is

Options

  • 60 minutes

  • 120 minutes

  • 30 minutes

  • 15 minutes

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Solution

30 minutes

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Chapter 7: Chemical Kinetics - Evaluation [Page 229]

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Samacheer Kalvi Chemistry - Volume 1 and 2 [English] Class 12 TN Board
Chapter 7 Chemical Kinetics
Evaluation | Q 25. | Page 229

RELATED QUESTIONS

The rate constant for a first order reaction is 100 s–1. The time required for completion of 50% of reaction is _______.

(A) 0.0693 milliseconds

(B) 0.693 milliseconds

(C) 6.93 milliseconds

(D) 69.3 milliseconds


The experimental data for decomposition of N2O5

\[\ce{2N2O5 -> 4NO2 + O2}\]

in gas phase at 318 K are given below:

t/s 0 400 800 1200 1600 2000 2400 2800 3200
102 × [N2O5]/mol L−1 1.63 1.36 1.14 0.93 0.78 0.64 0.53 0.43 0.35
  1. Plot [N2O5] against t.
  2. Find the half-life period for the reaction.
  3. Draw a graph between log [N2O5] and t.
  4. What is the rate law?
  5. Calculate the rate constant.
  6. Calculate the half-life period from k and compare it with (ii).

A first order reaction takes 10 minutes for 25% decomposition. Calculate t1/2 for the reaction.

(Given : log 2 = 0.3010, log 3 = 0.4771, log 4 = 0.6021)


In a first-order reaction A → product, 80% of the given sample of compound decomposes in 40 min. What is the half-life period of the reaction? 


Define half life of a reaction.


Show that for a first order reaction half life is independent of initial concentration.


Calculate half-life period of life order reaction whose rate constant is 200 sec–1


A reaction has a half-life of 1 min. The time required for 99.9% completion of the reaction is ______ min.
(Round off to the nearest integer).
[Use: In 2 = 0.69; In 10 = 2.3]


Assertion (A): The half-life of a reaction is the time in which the concentration of the reactant is reduced to one-half of its initial concentration.

Reason (R): In first-order kinetics, when the concentration of reactant is doubled, its half-life is doubled.


Calculate the half-life of a first order reaction from the rate constant given below:

4 year−1


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