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A reaction that is of the first order with respect to reactant A has a rate constant \mathrm{6\ min^{-1}}. If we start with 0.5 M concentration of A, then what would be the time taken (in min.)  for the [A] to become 0.05 M?

Option: 1

0.384


Option: 2

0.15


Option: 3

3


Option: 4

3.84


Answers (1)

best_answer

Given

Rate constant = 6 min-1

As we learnt for a first order reaction, 

\mathrm{ln \frac{[A]_0}{[A]_t} = kt}

Putting values in the above expression,

\mathrm{ln \frac{0.5}{0.05} = 6t}

\Rightarrow \mathrm{t=\frac{1}{6}\times ln(10)=\frac{2.303}{6}=0.384\ min}

Hence, the correct answer is Option (1)

Posted by

manish

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