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The time for half life of a first order reaction is 1 hour . What's the time taken for 87.5 percentage completion of the reaction? Could someone please answer this with steps?
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The time for half life of a first order reaction is 1 hour . What's th...
First half life 50% second half life (50+25)%third half life (50+25+12.5)% which is equal to 87.5%this implies (1+1+1) hrs i.e 3 hours
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The time for half life of a first order reaction is 1 hour . What's th...
Time for 87.5% completion of a first-order reaction
To determine the time required for 87.5% completion of a first-order reaction, we need to understand the concept of half-life and how it relates to the reaction's progress.
What is half-life?
The half-life of a reaction is the time it takes for the concentration of a reactant to decrease to half of its initial value. In a first-order reaction, the half-life remains constant regardless of the reactant's initial concentration.
Given that the half-life of the reaction is 1 hour, we can use this information to find the time required for 87.5% completion.
Step 1: Calculate the number of half-lives to reach 87.5% completion
To find the number of half-lives needed to reach 87.5% completion, we can use the formula:
Number of half-lives = (ln(initial concentration/final concentration)) / (ln(2))
Since we want to find the time taken for 87.5% completion, the final concentration will be 12.5% (100% - 87.5%) of the initial concentration.
Number of half-lives = ln(100/12.5) / ln(2)
Number of half-lives ≈ 3.5
Step 2: Calculate the time taken for 87.5% completion
Since each half-life takes 1 hour, we can multiply the number of half-lives by the half-life time to determine the total time taken for 87.5% completion.
Time taken = Number of half-lives * Half-life time
Time taken = 3.5 * 1 hour
Time taken = 3.5 hours
Thus, it takes approximately 3.5 hours for a first-order reaction to reach 87.5% completion, given that the half-life is 1 hour.
To determine the time required for 87.5% completion of a first-order reaction, we need to understand the concept of half-life and how it relates to the reaction's progress.
What is half-life?
The half-life of a reaction is the time it takes for the concentration of a reactant to decrease to half of its initial value. In a first-order reaction, the half-life remains constant regardless of the reactant's initial concentration.
Given that the half-life of the reaction is 1 hour, we can use this information to find the time required for 87.5% completion.
Step 1: Calculate the number of half-lives to reach 87.5% completion
To find the number of half-lives needed to reach 87.5% completion, we can use the formula:
Number of half-lives = (ln(initial concentration/final concentration)) / (ln(2))
Since we want to find the time taken for 87.5% completion, the final concentration will be 12.5% (100% - 87.5%) of the initial concentration.
Number of half-lives = ln(100/12.5) / ln(2)
Number of half-lives ≈ 3.5
Step 2: Calculate the time taken for 87.5% completion
Since each half-life takes 1 hour, we can multiply the number of half-lives by the half-life time to determine the total time taken for 87.5% completion.
Time taken = Number of half-lives * Half-life time
Time taken = 3.5 * 1 hour
Time taken = 3.5 hours
Thus, it takes approximately 3.5 hours for a first-order reaction to reach 87.5% completion, given that the half-life is 1 hour.
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The time for half life of a first order reaction is 1 hour . What's the time taken for 87.5 percentage completion of the reaction? Could someone please answer this with steps?
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The time for half life of a first order reaction is 1 hour . What's the time taken for 87.5 percentage completion of the reaction? Could someone please answer this with steps? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The time for half life of a first order reaction is 1 hour . What's the time taken for 87.5 percentage completion of the reaction? Could someone please answer this with steps? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The time for half life of a first order reaction is 1 hour . What's the time taken for 87.5 percentage completion of the reaction? Could someone please answer this with steps?.
The time for half life of a first order reaction is 1 hour . What's the time taken for 87.5 percentage completion of the reaction? Could someone please answer this with steps? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The time for half life of a first order reaction is 1 hour . What's the time taken for 87.5 percentage completion of the reaction? Could someone please answer this with steps? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The time for half life of a first order reaction is 1 hour . What's the time taken for 87.5 percentage completion of the reaction? Could someone please answer this with steps?.
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