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## Homework Statement

A certain first-order reaction has a rate constant of 6.70×10−3 . How long will it take for the reactant concentration to drop to 1/8 of its initial value?

## Homework Equations

half life =0.693/k

## The Attempt at a Solution

half life = 0.693/(6.70×10−3) = 103.43

but after that I'm confused how many half lives does 1/8 refer to?

I tried doing it by half life =4 but the answer came wrong.

any help would be appreaciated.