Rearranging equationThe first-order decomposition of cyclopropane has a rate constant of 6.7 x 10-4 s-1. If the initial concentration of cyclopropane is 1.33 M, what is the concentration of cyclopropane after 644 s?

Question

Rearranging equation>>>>>The first-order decomposition of cyclopropane has a rate constant of 6.7 x 10-4 s-1.  If the initial concentration of cyclopropane is 1.33 M, what is the concentration of cyclopropane after 644 s?

ashley1nonly · Answer

i know that im using the first order reaction which is

ln ([A]t/[A]o=-kt

we are solving for [A]t but how would i get rid of the ln so that i can solve for it???

aaronq · Answer

$\large ln(\dfrac{[A]_t}{[A]_0})=-kt$


   $\large  e^{ln(\frac{[A]_t}{[A]_0})}=e^{-kt}$


        $\large \dfrac{[A]_t}{[A]_0}=e^{-kt}$