IIT JAM Exam > IIT JAM Questions > The half life of a first order reaction is 12...
Start Learning for Free
The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____ h.
Correct answer is '126'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The half life of a first order reaction is 12.6 h. The time at which t...
Most Upvoted Answer
The half life of a first order reaction is 12.6 h. The time at which t...
Given Data:
- Half-life of first order reaction = 12.6 h
- Initial concentration of reactants = 1.0 M
- Final concentration of reactants = 0.001 M
Calculation:
Step 1: Determine the Rate Constant (k) of the Reaction
- We know that the half-life of a first-order reaction is related to the rate constant (k) by the equation:
t1/2 = (0.693) / k
- Substituting the given half-life value, we can solve for the rate constant:
12.6 h = 0.693 / k
k = 0.693 / 12.6
k ≈ 0.055 h^-1
Step 2: Use the Integrated Rate Law for First-Order Reactions
- The integrated rate law for a first-order reaction is given by the equation:
ln([A]t/[A]0) = -kt
- We can rearrange this equation to solve for time (t) when the concentration of reactants ([A]t) reaches 0.001 M:
ln(0.001/1.0) = -0.055t
ln(0.001) = -0.055t
-6.9078 = -0.055t
t ≈ 126 h
Therefore, the time at which the concentration of reactants becomes 0.001 M from 1.0 M is approximately 126 hours.
- Half-life of first order reaction = 12.6 h
- Initial concentration of reactants = 1.0 M
- Final concentration of reactants = 0.001 M
Calculation:
Step 1: Determine the Rate Constant (k) of the Reaction
- We know that the half-life of a first-order reaction is related to the rate constant (k) by the equation:
t1/2 = (0.693) / k
- Substituting the given half-life value, we can solve for the rate constant:
12.6 h = 0.693 / k
k = 0.693 / 12.6
k ≈ 0.055 h^-1
Step 2: Use the Integrated Rate Law for First-Order Reactions
- The integrated rate law for a first-order reaction is given by the equation:
ln([A]t/[A]0) = -kt
- We can rearrange this equation to solve for time (t) when the concentration of reactants ([A]t) reaches 0.001 M:
ln(0.001/1.0) = -0.055t
ln(0.001) = -0.055t
-6.9078 = -0.055t
t ≈ 126 h
Therefore, the time at which the concentration of reactants becomes 0.001 M from 1.0 M is approximately 126 hours.
|
Explore Courses for IIT JAM exam
|
|
Similar IIT JAM Doubts
The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer?
Question Description
The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer?.
The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer?.
Solutions for The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer?, a detailed solution for The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer? has been provided alongside types of The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The half life of a first order reaction is 12.6 h. The time at which the concentration of reactants becomes 0.001 M from 1.0 M is _____h.Correct answer is '126'. Can you explain this answer? tests, examples and also practice IIT JAM tests.
|
|
Explore Courses for IIT JAM exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup