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  • If the half-life $\left(\mathrm{t}_{1 / 2}\right)$ for a first order reaction is 1 minute, then the time required for $99.9 \%$ completion of the reaction is closest to :

Q.65)  If the half-life $\left(\mathrm{t}_{1 / 2}\right)$ for a first order reaction is 1 minute, then the time required for $99.9 \%$ completion of the reaction is closest to :

A) 10 mimutes

B) 2 minutes

C) 4 minutes

D) 5 minutes

 

Answers (1)

best_answer

Q.65) For first order reaction-
$t=\frac{6.9}{k}$ for $\sim 99.9 \%$ completion (more accurately, $t=\frac{6.91}{k}$ )

Also half-life for a first order is given by-

$$
t_{1 / 2}=\frac{0.693}{k} \Rightarrow k=\frac{0.693}{1}=0.693 \Rightarrow t=\frac{6.91}{0.693} \approx 10 \mathrm{~min}
$$
 

 

Hence, the correct answer is option (1).

 

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