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The rate constant of a first order react...

The rate constant of a first order reaction is `2.31 xx 10^(-2) s^(-1)`. What will be the time required for the initial concentration, 0.1M, of the reactant to be reduced to 0.05 M?

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The correct Answer is:
`30 sec`

Since the initial concentration is to be reduced to one half, the time required will be equal to half-life period
` = ( 0.693 )/( k ) = ( 0.693 )/(2.31 xx 10^(-2) s^(-1)) = 30 s`
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