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First Order Reaction

The reaction ...

Question

The reaction A proceeds in parallel channels. Suppose the half life values for the two branches are 60 minutes and 90 minutes, what is the overall half-life value?

t_{1 / 2} = 18 m i n

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t_{1 / 2} = 36 m i n

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t_{1 / 2} = 72 m i n

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None of these

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Solution

The correct option is A $t_{1 / 2} = 36 m i n$
$k = k_{1} + k_{2}$
$\frac{0.693}{t_{1 / 2}} = \frac{0.693}{60} + \frac{0.693}{90}$
$t_{1 / 2} = 36 m i n .$

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