One rule of thumb has been that a chemical reaction doubles in speed for every 10° increase in absolutetemperature from room temperature (nominally 295 K). If this is strictly true, what is the activationenergy of the chemical reaction?

Answered: One rule of thumb has been that a…

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

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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One rule of thumb has been that a chemical reaction doubles in speed for every 10° increase in absolute
temperature from room temperature (nominally 295 K). If this is strictly true, what is the activation
energy of the chemical reaction?

Expert Solution

Step 1

The activation energy of a reaction can be determined by the Arrhenius equation. At two different temperatures, the Arrhenius equation can be written as:

$\ln \frac{k_{2}}{k_{1}} = \frac{E_{a}}{R} \times (\frac{1}{T_{1}} - \frac{1}{T_{2}}) (1)$

Here k₁, and k₂ are the rate constant at temperature T₁, and T₂ respectively. R is the ideal gas constant, and E_a is the activation energy of the reaction.

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