What is the rate constant of a first-order reaction that takes 490 seconds for the reactant concentration to drop to half of its initial value?Express your answer with the appropriate units.• View Available Hint(s)ZesetTemplates Symbols undo redlokeyboard shortcuts helpValueUnits The integrated rate law allows chemists to predict the reactant concentration after a certain amount oftime, or the time it would take for a certain concentration to be reached.The integrated rate law for a first-order reaction is:Half-life equation for first-order reactions:0.693t1/2 =[A] = [A]oe-ktwhere t/2 is the half-life in seconds (s), and k is the rate constant in inverse seconds (s).Now say we are particularly interested in the time it would take for the concentration to become one-[A],half of its initial value. Then we could substitute " for [A] and rearrange the equation to:0.693t1/2This equation calculates the time required for the reactant concentration to drop to half its initial value.In other words, it calculates the half-life.

The time period in which the initial concentration of the reactants is reduced to half of its…

What is the rate constant of a first-order reaction that takes 490 seconds for the reactant concentration to drop to half of its initial value? Express your answer with the appropriate units. • View Available Hint(s) Templates Symbols undo redo Peset keyboard shortcuts help Value Units

What is the rate constant of a first-order reaction that takes 490 seconds for the reactant concentration to drop to half of its initial value? Express your answer with the appropriate units. • View Available Hint(s) Templates Symbols undo redo Peset keyboard shortcuts help Value Units

Chemistry: Principles and Practice

3rd Edition

ISBN:9780534420123

Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer

Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer

Chapter13: Chemical Kinetics

Section: Chapter Questions

Problem 13.50QE

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Question

What is the rate constant of a first-order reaction that takes 490 seconds for the reactant concentration to drop to half of its initial value?
Express your answer with the appropriate units.
• View Available Hint(s)
Zeset
Templates Symbols undo redlo
keyboard shortcuts help
Value
Units

The integrated rate law allows chemists to predict the reactant concentration after a certain amount of
time, or the time it would take for a certain concentration to be reached.
The integrated rate law for a first-order reaction is:
Half-life equation for first-order reactions:
0.693
t1/2 =
[A] = [A]oe-kt
where t/2 is the half-life in seconds (s), and k is the rate constant in inverse seconds (s).
Now say we are particularly interested in the time it would take for the concentration to become one-
[A],
half of its initial value. Then we could substitute " for [A] and rearrange the equation to:
0.693
t1/2
This equation calculates the time required for the reactant concentration to drop to half its initial value.
In other words, it calculates the half-life.

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