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The half life of a first order reaction is 2000 years if the concentration after 8000 years is 0.02 then the initial concentration was?
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The half life of a first order reaction is 2000 years if the concentra...
Given Data:
- Half-life of the first-order reaction = 2000 years
- Concentration after 8000 years = 0.02
Calculating the rate constant (k):
- The half-life of a first-order reaction is given by the equation:
T1/2 = ln(2)/k
- Substituting the given half-life value:
2000 = ln(2)/k
k = ln(2)/2000
k ≈ 0.0003466 years^-1
Calculating the initial concentration:
- The first-order rate equation is given by:
ln([A]0/[A]t) = kt
- Substituting the given values at t=8000 years:
ln([A]0/0.02) = 0.0003466 * 8000
ln([A]0/0.02) = 2.7728
[A]0/0.02 = e^2.7728
[A]0 ≈ 15.97
Conclusion:
- The initial concentration of the reactant in the first-order reaction was approximately 15.97.
- Half-life of the first-order reaction = 2000 years
- Concentration after 8000 years = 0.02
Calculating the rate constant (k):
- The half-life of a first-order reaction is given by the equation:
T1/2 = ln(2)/k
- Substituting the given half-life value:
2000 = ln(2)/k
k = ln(2)/2000
k ≈ 0.0003466 years^-1
Calculating the initial concentration:
- The first-order rate equation is given by:
ln([A]0/[A]t) = kt
- Substituting the given values at t=8000 years:
ln([A]0/0.02) = 0.0003466 * 8000
ln([A]0/0.02) = 2.7728
[A]0/0.02 = e^2.7728
[A]0 ≈ 15.97
Conclusion:
- The initial concentration of the reactant in the first-order reaction was approximately 15.97.
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The half life of a first order reaction is 2000 years if the concentration after 8000 years is 0.02 then the initial concentration was?
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The half life of a first order reaction is 2000 years if the concentration after 8000 years is 0.02 then the initial concentration was? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The half life of a first order reaction is 2000 years if the concentration after 8000 years is 0.02 then the initial concentration was? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The half life of a first order reaction is 2000 years if the concentration after 8000 years is 0.02 then the initial concentration was?.
The half life of a first order reaction is 2000 years if the concentration after 8000 years is 0.02 then the initial concentration was? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The half life of a first order reaction is 2000 years if the concentration after 8000 years is 0.02 then the initial concentration was? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The half life of a first order reaction is 2000 years if the concentration after 8000 years is 0.02 then the initial concentration was?.
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