Half-life period of a first-order reaction is 1386 seconds. The specific rate constant of the reaction is

Half-life period of a first-order reaction is 1386 seconds. The specific rate constant of the reaction is
A $5.0\times10^{-2}\ s^{-1}$
B $5.0\times10^{-3}\ s^{-1}$
C $0.5\times10^{-2}\ s^{-1}$
D $0.5\times10^{-3}\ s^{-1}$

Detailed Solution

For a first order reaction: $t_{1/2} = \frac{0.693}{k}$
$k = \frac{0.693}{t_{1/2}} = \frac{0.693}{1386}$
$k = 5.0\times10^{-4}\ s^{-1}$
$k = 0.5\times10^{-3}\ s^{-1}$

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Practise Half-life of a reaction All 2 questions This chapter in 2009 AIPMT