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The initial rate of a first-order reaction becomes three times when the temperature increases from 400K to 420K. If the half-life time of the reaction at 400K is 10 min, The time needed for 19% completion of the reaction at 420K will be (up to two decimal places)
  • a)
    81.01 sec
  • b)
    54.65 sec
  • c)
    60.98 sec
  • d)
    90.02 sec
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The initial rate of a first-order reaction becomes three times when th...


Given data:
- Initial rate at 400K = k
- Initial rate at 420K = 3k
- Half-life time at 400K = 10 min

Calculating rate constant:
- For a first-order reaction, the rate constant (k) is inversely proportional to the half-life time.
- Using the half-life time formula for first-order reactions: ln(2) / k = 10 min
- Solving for k: k = ln(2) / 10 min ≈ 0.0693 min^-1

Calculating time for 19% completion at 420K:
- The integrated rate law for first-order reactions is: ln([A]₀/[A]t) = kt
- At 420K, the rate constant k = 3k = 3 * 0.0693 ≈ 0.2079 min^-1
- The time needed for 19% completion can be found by setting [A]t = 0.81[A]₀ (19% completion) and solving for t:
ln(1/0.81) = 0.2079t
t = ln(1/0.81) / 0.2079 ≈ 60.98 sec
Therefore, the time needed for 19% completion of the reaction at 420K will be approximately 60.98 seconds. Hence, option C is the correct answer.
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Community Answer
The initial rate of a first-order reaction becomes three times when th...
At, 400 K the time required for 50% completion of the reaction is 10 min.

= 1.155 × 10-3 sec-1
  • Again, the initial rate of a first-order reaction becomes three times when the temperature increases from 400K to 420K.
  • Thus,

    3 × 1.155 × 10-3 sec-1
    = 3.456 × 10-3 sec-1
  • The time required for 19% completion of the reaction at 420K is,


    = 60.98 sec
Hence, the time needed for 19% completion of the reaction at 420K will be 60.98 sec.
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The initial rate of a first-order reaction becomes three times when the temperature increases from 400K to 420K. If the half-life time of the reaction at 400K is 10 min, The time needed for 19% completion of the reaction at 420K will be (up to two decimal places)a)81.01 secb)54.65 secc)60.98 secd)90.02 secCorrect answer is option 'C'. Can you explain this answer?
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The initial rate of a first-order reaction becomes three times when the temperature increases from 400K to 420K. If the half-life time of the reaction at 400K is 10 min, The time needed for 19% completion of the reaction at 420K will be (up to two decimal places)a)81.01 secb)54.65 secc)60.98 secd)90.02 secCorrect answer is option 'C'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about The initial rate of a first-order reaction becomes three times when the temperature increases from 400K to 420K. If the half-life time of the reaction at 400K is 10 min, The time needed for 19% completion of the reaction at 420K will be (up to two decimal places)a)81.01 secb)54.65 secc)60.98 secd)90.02 secCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The initial rate of a first-order reaction becomes three times when the temperature increases from 400K to 420K. If the half-life time of the reaction at 400K is 10 min, The time needed for 19% completion of the reaction at 420K will be (up to two decimal places)a)81.01 secb)54.65 secc)60.98 secd)90.02 secCorrect answer is option 'C'. Can you explain this answer?.
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