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A Global Least-Squares Fit for Absolute Zero

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Carl Salter

Department of Chemistry, Moravian College, Bethlehem, PA 18018

J. Chem. Educ., 2003, 80 (9), p 1033

DOI: 10.1021/ed080p1033

Publication Date (Web): September 1, 2003

Abstract

A simple, nonlinear least-squares method is described that permits gas thermometry data to be fitted directly to absolute zero. This nonlinear method can be implemented using Solver in Excel, and unlike other linear methods previously reported, it is statistically sound. The Excel macro SolverAid can be used to compute the error in absolute zero. The method can be applied simultaneously to multiple sets of data, permitting a global value of absolute zero to be computed from different gas samples. Constant volume thermometry data for helium are used to illustrate the global fit to absolute zero using Solver in an Excel spreadsheet. The relationship between the global value of absolute zero and the values from the individual fits is analyzed.

Keywords (Audience):

Second-Year Undergraduate

Keywords (Domain):

Laboratory Instruction

Keywords (Pedagogy):

Hands-On Learning / Manipulatives

Keywords (Subject):

Gases

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This article has been cited by 1 ACS Journal articles (1 most recent appear below).

Global Least-Squares Analysis of the IR Rotation–Vibration Spectrum of HCl
Joel Tellinghuisen
Journal of Chemical Education2005 82 (1), 150
- Global Least-Squares Analysis of the IR Rotation–Vibration Spectrum of HCl
  Joel Tellinghuisen
  Journal of Chemical Education2005 82 (1), 150
  The study of the IR rotation–vibration spectrum is a mainstay of the undergraduate laboratory curriculum in spectroscopy. Typical spectra consist of the fundamental and overtone bands for H35Cl and H37Cl (and sometimes D35Cl and D37Cl). These can be ...
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