Generalization of Eight Methods for Determining R in the Ideal Gas Law

Details Generalization of Eight Methods for Determining R in the Ideal Gas Law Generalization of Eight Methods for Determining R in the Ideal Gas Law

2007-11-05

arxiv.org/abs/0711.0740v4

Physics

Data Analysis, Statistics and Probability

Minor revisions and enhancements to the previous version. 216 pages (including 174 pages of computer output), 43 figures

Scientific paper

The ideal gas law of physics and chemistry says that PV = nRT. This law is a statement of the relationship between four variables (P, V, n, and T) that reflect properties of a quantity of gas in a container. The law enables us to make accurate predictions of the value of any one of the four variables from the values of the other three. The symbol R (called the "molar gas constant") is the sole parameter or constant of the law. R stands for a fixed number that has been shown through experiments to equal approximately 8.314472. Eight methods are available to analyze the data from a relevant experiment to determine the value of R. These methods are specific instances of eight general methods that scientists use to determine the value(s) of the parameter(s) of a model equation of a relationship between variables. Parameter estimation is one step in the study of a relationship between variables.

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