NEET 2025 — Chemistry solution

NEET2025Chemistry

If the half-life ( $t_{1/2}$ ) for a first order reaction is $1$ minute, then the time required for $99.9%$ completion of the reaction is closest to:

Solution

For a first-order reaction, $99.9%$ completion means $1/1000$ of the reactant remains, i.e. roughly $10$ half-lives ( $2^{10} = 1024 \approx 1000$ ).

$t_{99.9%} \approx 10 t_{1/2} = 10 \times 1 = 10$ minutes.

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