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  4. A first order reaction is half completed in 45 min. How long does it need 99.9 % of the reaction to be completed?

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Q. A first order reaction is half completed in $45$ min. How long does it need $99.9 \%$ of the reaction to be completed?

KCETKCET 2022Chemical Kinetics

Solution:

$t _{99.9 \%}=10 t _{50 \%}$
$=10 \times 45\, min =450\, min =7.5$ hours