3. Determination of the Order of a Reaction from Experimental Data

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Kinetics : ArrheniusActEnergy (4 Variations)
The rate constant for the first-order dehydration of tert-butyl alcohol at 500^{o}C is 1.20 x 10^{ -4 } s^{ -1}. The rate constant for this process at 600^{o}C is 6.80 x 10 ^{ -3} s^{ -1}. Calculate the activation energy for this reaction in kJ/mol. (R = 8.314 J/mol K)

Using the graph below, calculate the rate constant for this reaction at 40.0^{o}C.

Kinetics |

Chemometrics

Kinetics : ArrheniusTemp (3 Variations)
The activation energy for the isomerization of cyclopropane to propene is 274 kJ/mol. By what factor does the rate of reaction increase as the temperature rises from 500^{o}C to 550^{o}C assuming all else remains constant? (R = 8.314 J/mol k)

Hint: This is asking for the ratio of rates which is proportional to the ratio of the rate constants, all else being equal.

J. Chem. Educ. 1999,76, 1578–1583John Andraos Corrections to the article A Streamlined Approach to Solving Simple and Complex Kinetic Systems Analytically. Andraos, John. J. Chem. Educ.2008, 85, 1624.

Kinetics |

Mechanisms of Reactions |

Theoretical Chemistry

Manual Data Processing in Analytical Chemistry: Linear CalibrationDora Melucci Most science students are familiar with Excel spreadsheets, but determining which of Excels statistical functions perform a calculation equivalent to a classical equation and calculating errors with Excel are not trivial exercises. Melucci, Dora. J. Chem. Educ.2008, 85, 1346.

Calibration |

Chemometrics |

Quantitative Analysis

Helping Students Make Sense of Logarithms and Logarithmic RelationshipsEd DePierro, Fred Garafalo, and Rick Toomey This paper summarizes difficulties that chemistry students at all levels exhibit when translating, manipulating, and interpreting mathematical expressions containing logarithms, and offers approaches useful in helping students to overcome those difficulties. DePierro, Ed; Garafalo, Fred; Toomey, Rick T. J. Chem. Educ.2008, 85, 1226.

Visualizing Numerical Methods (2)William F. Coleman These movies are designed to help students visualize various numerical approaches to evaluating functions or solving equations. The methods themselves may be familiar to students from their mathematics courses, but they may have forgotten the material or never made the connection between a statement such as "the derivative of a curve at a given point is the slope of the line tangent to the curve at that point" and the way that one might evaluate such a derivative. All of the movies have VCR-style controls that enable the student to step through them one frame at a time and to move backwards as well as forwards.

Chemometrics

A Method of Visual Interactive RegressionMichelle S. Kim, Maureen Burkart, Myung-Hoon Kim Over the past decade many colleges and universities have placed increased emphasis on having students develop statistical and data analysis skills in a range of disciplines. Some institutions now require that all students complete at least one course with a strong component of data analysis, whether the data are from chemical experiments, the census, or some other source. As chemists, one of our concerns should be to ensure that students view data analysis as an integral part of any quantitative experiment, and, as far as possible, do not treat this process as a black box. The authors of A Method of Visual Interactive Regression, a spreadsheet application, have developed a visual approach to linear least-squares curve fitting that drives home the idea of minimizing the sum of the squares of the deviations in order to find the best fit to a set of data that are being described by a linear relationship. For many students these visualizations are likely to persist a great deal longer than the mathematical derivations of the equation for the slope and the intercept. The visualizations will provide a useful connection between a set of equations and the buttons on a calculator or the insertion of a trendline in a spreadsheet.