The Validity of Stirling's Approximation: A Physical Chemistry Project

K. A. Brandt
Department of Computer Science, Mathematics, and Physics, Missouri Western State College, St. Joseph, MO 64507
A. S. Wallner
Department of Chemistry, Missouri Western State College, St. Joseph, MO 64507
J. Chem. Educ., 1999, 76 (10), p 1395
DOI: 10.1021/ed076p1395
Publication Date (Web): October 1, 1999

Abstract

Often in physical chemistry courses, the direct proof of Stirling's approximation is omitted owing to the complexity of the mathematics involved. We present an accessible proof of this result that requires only an understanding of first-year calculus. We also present an undergraduate project dealing with the validity of Stirling's approximation. This assignment asks students to study the validity of the formula using mathematical tools such as programmable calculators, commercially available computer software such as Derive, and basic computer programming. Examples of students' solutions are provided.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Subject):

Learning Theories
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History

  • Received: August 03, 2009

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