Problem: The rate constant for this first-order reaction is 0.0800 s-1 at 400 °C. A→ Products. After how many seconds will 12.1% of the reactant remain? _____s

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We’re given the following first-order reaction: 

A→ Products


The integrated rate law for a first order reaction is as follows:

ln[A]t = -kt + ln[A]0


where:

[A]t = concentration at time t 

k = rate constant

t = time, [A]0 = initial concentration


We’re being asked to determine the time it would take for the reaction to be 12.1% complete. Since no concentration is given, we can use the given percentages in place of concentration.


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Problem Details

The rate constant for this first-order reaction is 0.0800 s-1 at 400 °C. A→ Products. After how many seconds will 12.1% of the reactant remain? _____s

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