The rate constant for the gas-phase decomposition of N2O5, N2O5 2NO2 + 02 has the following temperature dependence: T(K) | k(s¯1) 338 4.9 × 10¯ -3 318 5.0 × 10¬4 298 3.5 x 10-5 Make the appropriate graph using these data, and determine the activation energy for this reaction.

Chemistry: An Atoms First Approach
2nd Edition
ISBN:9781305079243
Author:Steven S. Zumdahl, Susan A. Zumdahl
Publisher:Steven S. Zumdahl, Susan A. Zumdahl
Chapter11: Chemical Kinetics
Section: Chapter Questions
Problem 88AE
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How do I solve this equation without making the graph and using the slope? My teacher said that we wouldn't need to make the graph, but I'm not sure how to do the equation without making the graph.

The rate constant for the gas-phase decomposition of N205,
N2O5
2NO2 + ¿O2
has the following temperature dependence:
T(K) k(s¯1)
338
4.9 × 10-3
318
5.0 x 10-4
298
3.5 x 10-5
Make the appropriate graph using these data, and determine the
activation energy for this reaction.
Transcribed Image Text:The rate constant for the gas-phase decomposition of N205, N2O5 2NO2 + ¿O2 has the following temperature dependence: T(K) k(s¯1) 338 4.9 × 10-3 318 5.0 x 10-4 298 3.5 x 10-5 Make the appropriate graph using these data, and determine the activation energy for this reaction.
Expert Solution
Step 1

We have the data set of temperature(T) and rate constant(k) in the format of table.

We need to calculate the activation energy(Ea) using this data set.

Clausius Calpeyron equation is expressed as:

lnk2k1=-EaR(1T2-1T1)

  where Ea is the activation energy

             R is the gas constant

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