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  3. Chemistry
  4. The rate constant for a first order reaction is 4.606 × 10-3 s-1. The time required to reduce 2.0 g of the reactant to 0.2 g is :

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Q. The rate constant for a first order reaction is $4.606 \times 10^{-3} s^{-1}$. The time required to reduce $2.0\,g$ of the reactant to $0.2\,g$ is :

NEETNEET 2020Chemical Kinetics

Solution:

$K=\frac{2.303}{t}log\, \frac{a}{a-x}$
$t=\frac{2.303}{4.606\times 10^{-3}}$
$log\,\frac{2}{0.2}$
$=\frac{1000}{2} \,\log\,10$
$=500\,\sec$
(as log $10=1)$