A reaction which is of first order w.r.t reactant $A$ , has a rate constant $6$ ${m i n}^{- 1}$ . If we start with $[A] = 0.5 m o l$ $L^{- 1}$ , when would $[A]$ reach the value of $0.05 m o l$ $L^{- 1}$ ?

0.384 m i n

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0.15 m i n

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3 m i n

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3.84 m i n

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Solution

The correct option is A $0.384 m i n$
As we know, for a first order reaction,

$t = \frac{2.303}{k} log \frac{a}{a - x}$

By putting values, we get
$t = \frac{2.303}{6} log \frac{0.5}{0.05} = 0.384$ min

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