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: - Chemistry MCQ Chemistry | ExamTest.live

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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:

A $2 minutes$
B $4 minutes$
C $5 minutes$
D $10 minutes$

Solution & Step-by-step Explanation

For a first-order reaction, the time required for 99.9% completion (t_{99.9%}) is approximately 10 times the half-life (t_{1/2}).Calculation: k = \frac{0.693}{t _{1/2}} = 0.693 min^{- 1} . t = \frac{2.303}{k} lo g (\frac{100}{100 - 99.9}) = \frac{2.303}{0.693} lo g (1000) = \frac{2.303 \times 3}{0.693} \approx 9.97 minutes .This is closest to 10 minutes.

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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:

2 minutes

4 minutes

5 minutes

10 minutes

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Chemical Kinetics First Order Reaction

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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:

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If the half-life (t1/2​) for a first order reaction is 1 minute, then the time required for 99.9% completion of the reaction is closest to:

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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: