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First Order Reaction

A substance '...

Question

A substance 'A decomposes in solution following the first order kinetics. Flask I contains 1 L of 1 M solution of A and flask II contains 100 mL of 0.6 M solution. After 8 hr the concentration of A in flask I becomes 0.25 M. What will be the time for concentration of A in flask II to become 0.3 M?

A

0.4 hr

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B

2.4 hr

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C

4.0 hr

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D

Unpredictable as rate constant is not given

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Solution

The correct option is C 4.0 hr
Flask I:
$∴ t_{1 / 2} = 4 h r$
Flask II:
$0.6 M \to t_{1 / 2} = 4 h r 0.3 M$
A first order reaction is independent of the initial concentration of the reactant.
Hence, answer is (C).

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