A Thermodynamic Analysis to Explain the Boiling-Point Isotope Effect for Molecular Hydrogen

D. Blane Baker
Division of Natural Sciences, Ouachita Baptist University, Arkadelphia, AR 71998-0001
Byron K. Christmas
Department of Natural Sciences, University of Houston-Downtown, One Main Street, Houston, TX 77002-1001
J. Chem. Educ., 2000, 77 (6), p 732
DOI: 10.1021/ed077p732
Publication Date (Web): June 1, 2000

Abstract

The analysis reported provides an explanation for the boiling-point isotope effect observed for molecular hydrogen isotopes (H2, D2, and T2); that is, an explanation for the increase in normal boiling point with increasing molecular mass. The standard enthalpy of vaporization is shown to depend on molecular mass, and itself is related to temperature via a standard solution to the Clausius-Clapeyron equation. Simplification of the solution, at standard pressure, yields an expression for the normal boiling point that depends on molecular mass. An evaluation of the expression, using constants obtained from two of the boiling points in the series, allows a prediction of the third boiling point. As an example, the predicted boiling point of ditritium is 24.9 K, in close agreement with the observed value of 25.0 K.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Subject):

Isotopes

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History

  • Received: August 03, 2009

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