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Q.

A and B decompose via first order kinetics with half-lives 54.0 min and 18.0  min respectively. Starting from an equimolar non reactive mixture of A and B, the time taken for the concentration of A to become 16 times that of B  is _________ min. (round off to the nearest Integer)

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answer is 108.

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Detailed Solution

[A]left =16×[B]left ⋅12tt12Δ=16×12tt12B ⇒12t54=162t18 ∴2t54=2t18−4t54=t18−4⇒t54=t−7218,18t=54t−54×72,36t=54×72 t=108
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A and B decompose via first order kinetics with half-lives 54.0 min and 18.0  min respectively. Starting from an equimolar non reactive mixture of A and B, the time taken for the concentration of A to become 16 times that of B  is _________ min. (round off to the nearest Integer)