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The breakdown of a certain pollutant X in sunlight is known to follow first-order kinetics. An atmospheric scientist studying the process fills a 10.0 L reaction flask with a sample of urban air and finds that the partial pressure of X in the flask decreases from 0.26 atm to 0.20 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. atm S x10 X S

The breakdown of a certain pollutant X in sunlight is known to follow first-order kinetics. An atmospheric scientist studying the process fills a 10.0 L reaction flask with a sample of urban air and finds that the partial pressure of X in the flask decreases from 0.26 atm to 0.20 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. atm S x10 X S

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Chemistry
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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
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The breakdown of a certain pollutant X in sunlight is known to follow first-order kinetics. An atmospheric scientist studying the process fills a 10.0 L reaction flask with a sample of urban air and finds that the partial pressure of X in the flask decreases from 0.26 atm to 0.20 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. atm S x10 X Ś
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 10.0 L reaction flask with a sample of urban air and finds that the partial pressure of X in the flask decreases from 0.26 atm to 0.20 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. atm S x10 X Ś
Expert Solution
Step 1: Data and formula

The decomposition of the gas X follows the first order kinetics.

The initial pressure of the gas X is P0 = 0.26 atm,

The final pressure of the gas X is Pt = 0.20 atm,

The time 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.


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