Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
Bartleby Related Questions Icon

Related questions

Question
The breakdown of a certain pollutant \( X \) in sunlight is known to follow first-order kinetics. An atmospheric scientist studying the process fills a 40.0 L reaction flask with a sample of urban air and finds that the partial pressure of \( X \) in the flask decreases from 0.66 atm to 0.14 atm over 13. hours.

Calculate the initial rate of decomposition of \( X \), that is, the rate at which \( X \) was disappearing at the start of the experiment. Round your answer to 2 significant digits.

The diagram on the lower left shows a unit of measurement, “atm/s,” suggesting the answer should be given in atmospheres per second. On the lower right, there is an input box with a check option for “x10,” likely indicating the option to express the answer in scientific notation. There are also buttons for submitting the answer or clearing the response.
expand button
Transcribed Image Text:The breakdown of a certain pollutant \( X \) in sunlight is known to follow first-order kinetics. An atmospheric scientist studying the process fills a 40.0 L reaction flask with a sample of urban air and finds that the partial pressure of \( X \) in the flask decreases from 0.66 atm to 0.14 atm over 13. hours. Calculate the initial rate of decomposition of \( X \), that is, the rate at which \( X \) was disappearing at the start of the experiment. Round your answer to 2 significant digits. The diagram on the lower left shows a unit of measurement, “atm/s,” suggesting the answer should be given in atmospheres per second. On the lower right, there is an input box with a check option for “x10,” likely indicating the option to express the answer in scientific notation. There are also buttons for submitting the answer or clearing the response.
Expert Solution
Check Mark
Step 1: Formula of first order reaction

The decomposition of the pollutant X follows the first-order kinetics.

The pressure of the pollutant X before decomposition is P0 = 0.66 atm,

The pressure of the pollutant X after 13 hours of decomposition is Pt = 0.14 atm,

The time in seconds is t = 13 hours = open parentheses 13 cross times 60 cross times 60 close parentheses space s = 46800 s.


Formula: The formula of the rate of a first-order reaction at time t sec is Rate = KPt, where K is the rate constant, and Pt is the pressure of the gas at time t s.

The rate constant for a first-order reaction is K space equals space 1 over t ln P subscript 0 over P subscript t.


Knowledge Booster
Background pattern image
Chemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Text book image
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Text book image
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY