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in Chemical Kinetics by (47.6k points)
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The rate constant for a first order reaction is 2.3 x 10-4 s-1 . If the initial concentration of the reactant is 0.01 M. what concentration will remain after 1 hour?

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Rate constant k = 2.3 x 10-4 s-1

Initial concentration of reactant [A0] = 0.01 M

Concentration of reactant after one hour = [A]

\(\therefore k = \frac{2.303}t \log \frac{[A_0]}{[A]}\)

⇒ \(2.3 \times 10^{-4} = \frac{2.303}{3600} \log \frac{[A]_0}{[A]}\)

⇒ \(\frac{2.3 \times10^{-4}\times 3600}{2.303} = \log 0.01 - \log [A]\)

⇒ \(0.36 = \log 0.01 - \log[A]\)

⇒ \(\log[A] =-2 - 0.36 \)

\(\log[A] =-1.64 \)

\([A] = 10^{(-1.64)}\)

\([A] = 0.023\) M

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