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The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301)  
[AIEEE 2009]
  • a)
    23.03 minutes
  • b)
    46.06 minutes
  • c)
    460.6 minutes
  • d)
    230.3 minutes
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The half life period of a first order chemical reaction is 6.93 minute...
The correct answer is Option B.
The half life period t1/2 = 6.93 min.
The decay constant λ = 0.69/t1/2
                                  =0.693/6.93min
​                  =0.1/min
t = (2.303/λ) log a / a−x
t = 2.303/(0.1/min) log 100/(100-99)
t = 46.06 min
Hence, the time required for 99% completion of the reaction is 46.06 min.
 
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The half life period of a first order chemical reaction is 6.93 minute...
Given: Half-life period of a first-order reaction = 6.93 minutes

To find: Time required for completion of 99% of the reaction

Formula:
The half-life period of a first-order reaction is given by: t1/2 = (0.693/k), where k is the rate constant of the reaction.

The time required for completion of 99% of a first-order reaction is given by: t = (2.303/k) log (1/0.01)

Solution:
Given half-life period, t1/2 = 6.93 minutes
We know that t1/2 = (0.693/k)

Therefore, k = 0.693/t1/2 = 0.693/6.93 = 0.1 min^-1

We need to find t, the time required for completion of 99% of the reaction. We can use the formula given above:

t = (2.303/k) log (1/0.01)
t = (2.303/0.1) log (100)
t = 46.06 minutes

Therefore, the time required for completion of 99% of the chemical reaction is 46.06 minutes.

Answer: Option (B) 46.06 minutes
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The half life period of a first order chemical reaction is 6.93 minute...
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The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301)[AIEEE 2009]a)23.03 minutesb)46.06 minutesc)460.6 minutesd)230.3 minutesCorrect answer is option 'B'. Can you explain this answer?
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The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301)[AIEEE 2009]a)23.03 minutesb)46.06 minutesc)460.6 minutesd)230.3 minutesCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301)[AIEEE 2009]a)23.03 minutesb)46.06 minutesc)460.6 minutesd)230.3 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301)[AIEEE 2009]a)23.03 minutesb)46.06 minutesc)460.6 minutesd)230.3 minutesCorrect answer is option 'B'. Can you explain this answer?.
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