Data Analysis on the Arrhenius Equation, Slides of Swedish

The study of Svante August Arrhenius on the temperature dependence of rate constants. data from a reaction between Ethoxide and Methyl iodide studied by Hecht and Conrad in 1889, and examines how the Arrhenius equation can be used to find the constants characteristic of the reaction. graphs and equations to explain the concepts.

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Data Analysis on the Arrhenius Equation
Introduction
Svante August Arrhenius (1859-1927), was a great Swedish Scientist who
won a Nobel prize in chemistry in 1903. He did a lot of work in many other
chemistry fields, but my paper will examines his study on the temperature
dependence of rate constants.
Rate constants depend strongly on temperature, typically increasing rapidly
with increasing temperature. A rough rule, valid for many reactions in
solution, is that near room temperature, K doubles or triples for each 10oC
increase in Temperature.
Data Analysis:
Below is data from a reaction between Ethoxide and Methyl iodide studied
by Hecht and Conrad in (1889), and it corresponding graph.
Temp.(oC) Rate (k) Temp. (K)
0 168 273
6 354 627
12 735 1008
18 1463 1736
24 3010 3283
30 6250 6523
Rate (k) Vs. Absolute Temperature
y = 1E-12e
0.12x
0
1000
2000
3000
4000
5000
6000
7000
270 280 290 300 310
Absolute Temperature (k)
Reaction rate (K)
The graph shows that the rate of the reaction varies exponentially with
increasing temperature as expected.
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Data Analysis on the Arrhenius Equation

Introduction

Svante August Arrhenius (1859-1927), was a great Swedish Scientist who

won a Nobel prize in chemistry in 1903. He did a lot of work in many other

chemistry fields, but my paper will examines his study on the temperature

dependence of rate constants.

Rate constants depend strongly on temperature, typically increasing rapidly

with increasing temperature. A rough rule, valid for many reactions in

solution, is that near room temperature, K doubles or triples for each 10o^ C

increase in Temperature.

Data Analysis:

Below is data from a reaction between Ethoxide and Methyl iodide studied

by Hecht and Conrad in (1889), and it corresponding graph.

Temp.( oC) Rate (k) Temp. (K) 0 168 273 6 354 627 12 735 1008 18 1463 1736 24 3010 3283 30 6250 6523

Rate (k) Vs. Absolute Temperature

y = 1E-12e 0.12x

Absolute Temperature (k)

Reaction rate (K)

The graph shows that the rate of the reaction varies exponentially with

increasing temperature as expected.

In 1889 Arrhenius noted that the reaction rate (k) verses temperature data for many reactions fitted the equation below;

K = Ae -Ea/RT^ ……………………..equation 1.

Where A and Ea are constants characteristic of the reaction. A is the pre- exponential factor (based on the collision factor), Ea is the Arrhenius activation energy in KJ/mol, R is the gas constant and T is the absolute temperature in (K).

Taking logs of equation 1, K = Ae -Ea/RT

Gives; ln K = ln A –Ea/RT …………………………..equation 2. or Log 10 K = Log 10 A – Ea/2.303RT………………………..equation 3.

If the Arrhenius equation is obeyed, a plot of ln K versus 1/T should be a straight line with slope of –Ea/R, and a Y-intercept = ln A. Similarly a plot of Log 10 K verses 1/T would be a straight line with a slope of -Ea/2.303R, and the y-intercept would be Log 10 A. This would enable Ea and A of a reaction to be found. Equation 2 is easier to use, therefore using the given data the ln (k) and 1/T were calculated and the table below was obtained.

Temp.( oC) Temp. (K) 1/T ( oC) Rate (k) ln Rate (ln K) 0 273 0.003663 168 5. 6 279 0.00358423 354 5. 12 285 0.00350877 735 6. 18 291 0.00343643 1463 7. 24 297 0.003367 3010 8. 30 303 0.00330033 6250 8.

A graph of ln (k) verses I/T was plotted as show below: