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Question: Answered & Verified by Expert
Consider the following parallel reactions being given by A (t1/2 = 1.386 × 102 hours), each path being 1st order.



If distribution of A in the product mixture is 50%, calculate partial half-life of A for the conversion into B.
ChemistryChemical KineticsJEE Main
Options:
  • A 346.5 h
  • B 231 h
  • C 154 h
  • D 92.4 h
Solution:
2801 Upvotes Verified Answer
The correct answer is: 231 h
From question

2 k 1 2 k 1 + 3 k 2 = 0.5 and k 1 + k 2 = 0.693 1.386 × 1 0 2 = 5 × 1 0 - 3 h -1

Solving k 1 k 2 = 3 2 and k 1 = 3 × 1 0 - 3 h -1 and  k 2 = 2 × 1 0 - 3 h -1

t 1 / 2 A B = 0.693 k 1 = 0.693 3 × 1 0 - 3 = 2 3 1 h

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