:A tain first-order reaction (A-sproducts) has a rate constant of 5.70x10s' at 45 °C. How many minutes does it take for the concentra ess your answer with the appropriate units. ew Available Hint(s) 1 min Previous Answers - Соrrect :B tain second-order reaction (B products) has a rate constant of 1.00x10~ª M ' -s 'at 27 °C and an initial half-ife of 218 s. What is ess your answer with the appropriate units. ew Available Hint(s) HA .6 M abmit Previous Answers

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter20: Kinetics
Section: Chapter Questions
Problem 20.27E: Derive an expression for the half-life of a a third order reaction;b a reaction whose order is =1; c...
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The half-life of a reaction, t1/2, is the time it takes for the reactant concentration [A] to decrease
by half. For example, after one half-life the concentration falls from the initial concentration [A]o to
[Alo/2, after a second half-life to [Al/4, after a third half-life to [Alo/8. and so on. on.
For a first-order reaction, the half-life is constant. It depends only on the rate constant k and not on the reactant concentration. It is expressed as
t1/2 = 0.693
For a second-order reaction, the half-life depends on the rate constant and the concentration of the reactant and so is expressed as
t1/2 =
Part A
A certain first-order reaction (A-→products) has a rate constant of 5.70x10s at 45 °C. How many minutes does it take for the concentration of the reactant. [A]. to drop to 6.25% of the original concentration?
Express your answer with the appropriate units.
> View Available Hint(s)
8.11 min
Submit
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у Сorrect
Part B
A certain second-order reaction (B »products) has a rate constant of 1.00x103 M-s'at 27 °C and an initial half-life of 218 s. What is the concentration of the reactant B after one half-life?
Express your answer with the appropriate units.
> View Available Hint(s)
4.6
M
Submit
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X Incorrect; Try Again; 8 attempts remaining
Transcribed Image Text:The half-life of a reaction, t1/2, is the time it takes for the reactant concentration [A] to decrease by half. For example, after one half-life the concentration falls from the initial concentration [A]o to [Alo/2, after a second half-life to [Al/4, after a third half-life to [Alo/8. and so on. on. For a first-order reaction, the half-life is constant. It depends only on the rate constant k and not on the reactant concentration. It is expressed as t1/2 = 0.693 For a second-order reaction, the half-life depends on the rate constant and the concentration of the reactant and so is expressed as t1/2 = Part A A certain first-order reaction (A-→products) has a rate constant of 5.70x10s at 45 °C. How many minutes does it take for the concentration of the reactant. [A]. to drop to 6.25% of the original concentration? Express your answer with the appropriate units. > View Available Hint(s) 8.11 min Submit Previous Answers у Сorrect Part B A certain second-order reaction (B »products) has a rate constant of 1.00x103 M-s'at 27 °C and an initial half-life of 218 s. What is the concentration of the reactant B after one half-life? Express your answer with the appropriate units. > View Available Hint(s) 4.6 M Submit Previous Answers X Incorrect; Try Again; 8 attempts remaining
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