## Formulas- \( \ln [CA] = -kt + \ln [CA_0] \)### Half-Life Formulas- \( t_{1/2} = \frac{0.693}{k} \)- \( k = \frac{0.693}{t_{1/2}} \)### First Order Reaction- \( \ln \frac{[CA_0]}{[CA]_t} = kt \)### Concentration- \( \% \left( [EA]_0 \right) = 100 \times \frac{[A]_t}{[A]_0} = \text{left} \)- \( t = \frac{\ln \frac{[CA]_0}{[CA]_t}}{k'} \)### Important Relationship- \( \ln \frac{[OJO]_0}{[SJ]_t} = = kt \)- \( k = \frac{\ln \frac{[CA]_0}{[CA]_t}}{t} \)## ProblemA first order reaction is 75.0% complete in 320 s.### Questionsa. What are the first and second half lives for this reaction?b. How long does it take for 90.0% completion?

For a first-order reaction, the relationship between the reaction time and the extent of reaction (expressed as a percentage) is given by the following equation:ln[A0][/A]=ktwhere:[A] is the concentration of the reactant at time t,[A0] is the initial concentration of the reactant,k is the rate constant,t is time.From this we can write k = ln[A0][/A] x (1/t)The half-life (t1/2) for a first-order reaction is given by the formula:t1/2=0.693/k. Here is the complete answer , please find the attachedtherefore the answers are Q.a. 160 secQ.b. 531.78 sec

Answered: Problem: A first order reaction is…

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Chemistry

Problem: A first order reaction is 75.0.1 complete in 320.s. a. what are the first and second half lives for this reaction b. How long does it take for 90.0%. Completion.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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