The following is a quote from an article in the August 18,1998, issue of The New York Times about the breakdown ofcellulose and starch: “A drop of 18 degrees Fahrenheit [from77 °F to 59 °F4 lowers the reaction rate six times; a 36-degreedrop [from 77 °F to 41°F] produces a fortyfold decrease inthe rate.” (a) Calculate activation energies for the breakdownprocess based on the two estimates of the effect of temperatureon rate. Are the values consistent? (b) Assuming thevalue of Ea calculated from the 36° drop and that the rate ofbreakdown is first order with a half-life at 25 °C of 2.7 yr, calculatethe half-life for breakdown at a temperature of -15 °C.

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter18: Chemical Kinetics
Section: Chapter Questions
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The following is a quote from an article in the August 18,
1998, issue of The New York Times about the breakdown of
cellulose and starch: “A drop of 18 degrees Fahrenheit [from
77 °F to 59 °F4 lowers the reaction rate six times; a 36-degree
drop [from 77 °F to 41°F] produces a fortyfold decrease in
the rate.” (a) Calculate activation energies for the breakdown
process based on the two estimates of the effect of temperature
on rate. Are the values consistent? (b) Assuming the
value of Ea calculated from the 36° drop and that the rate of
breakdown is first order with a half-life at 25 °C of 2.7 yr, calculate
the half-life for breakdown at a temperature of -15 °C.

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