The rate constant of a chemical reaction increased from 0.100 s to 3.20 s upon raising the temperature from 25.0 °C to 47.0 °C. Learning Goal: To use the Arrhenius equation to calculate the activation energy. As temperature rises, the average kinetic energy of molecules increases. In a chemical reaction, this means that a higher percentage of the molecules possess the required activation energy, and the reaction goes faster. This relationship is shown by the Arrhenius equation Part A k = Ae-E/RT where k is the rate constant, A is the frequency factor, E, is the activation energy, R = 8.3145 J/(K mol) is the gas constant, and T is the Kelvin temperature. The following rearranged version of the equation is also useful: Calculate the value of + -*) where Ti is the initial temperature and T, is the final temperature. Express your answer numerically. Ia (:)- (*)(* - *) E. V AEO R ? where ki is the rate constant at temperature T1, and kz is the rate constant at temperature T K- Part B Calculate the value of In | 1 where ki and kz correspond to the rate constants at the initial and the final temperatures as defined in part A. Express your answer numerically. Πν ΑΣφ. ? In Part C What is the activation energy of the reaction? Express your answer numerically in kilojoules per mole. ? E, = kJ/mol Submit Request Answer
The rate constant of a chemical reaction increased from 0.100 s to 3.20 s upon raising the temperature from 25.0 °C to 47.0 °C. Learning Goal: To use the Arrhenius equation to calculate the activation energy. As temperature rises, the average kinetic energy of molecules increases. In a chemical reaction, this means that a higher percentage of the molecules possess the required activation energy, and the reaction goes faster. This relationship is shown by the Arrhenius equation Part A k = Ae-E/RT where k is the rate constant, A is the frequency factor, E, is the activation energy, R = 8.3145 J/(K mol) is the gas constant, and T is the Kelvin temperature. The following rearranged version of the equation is also useful: Calculate the value of + -*) where Ti is the initial temperature and T, is the final temperature. Express your answer numerically. Ia (:)- (*)(* - *) E. V AEO R ? where ki is the rate constant at temperature T1, and kz is the rate constant at temperature T K- Part B Calculate the value of In | 1 where ki and kz correspond to the rate constants at the initial and the final temperatures as defined in part A. Express your answer numerically. Πν ΑΣφ. ? In Part C What is the activation energy of the reaction? Express your answer numerically in kilojoules per mole. ? E, = kJ/mol Submit Request Answer
Chemistry by OpenStax (2015-05-04)
1st Edition
ISBN:9781938168390
Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Publisher:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Chapter12: Kinetics
Section: Chapter Questions
Problem 10E: In the PhET Reactions tab to observe how multiple atoms and molecules interact under varying...
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