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,N2O52NO2 + ¿O2has the following temperature dependence:T(K) k(s¯1)3384.9 × 10-33185.0 x 10-42983.5 x 10-5Make the appropriate graph using these data, and determine theactivation energy for this reaction.

Answered: The rate constant for the gas-phase…

Chemistry

10th Edition

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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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.

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:

$\ln \frac{k 2}{k 1} = - \frac{E a}{R} (\frac{1}{T 2} - \frac{1}{T 1})$

where Ea is the activation energy

R is the gas constant

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