Abstract
Previous investigators have used the Langmuir vaporisation relation to estimate the vapour pressures of low-volatility compounds from thermogravimetric data. However, this equation is strictly valid for evaporation into a vacuum only. For measurements conducted at finite pressures, molecular diffusion must be taken into account. A revised equation is proposed: dm A/dt8M A P A D A B/T. It is also shown that the proportionality between vapour pressure and vaporisation rate is very general. It arises from the assumptions of ideal gas behaviour, Raoult's law and a negligible concentration of the sample compound far from the sample surface.
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References
C. G. de Kruif and J. G. Blok, J. Chem. Thermodyn., 9 (1977) 725.
M. Knudsen, The Kinetic Theory of Gases, Methuen, London, 3rd Ed., 1950.
I. Langmuir, Phys. Rev., 2 (1913) 329.
W. Gückel, G. Synnatschke and R. Rittig, Pestic. Sci., 4 (1973) 137.
J. P. Elder, J. Therm. Anal. Cal., 49 (1997) 897.
P. Aggarwal, D. Dollimore and K. Alexander, J. Therm. Anal. Cal., 49 (1997) 595.
D. M. Price and M. Hawkins, Thermochim. Acta, 315 (1998) 19.
D. M. Price and M. Hawkins, Thermochim. Acta, 329 (1998) 73.
D. M. Price, J. Therm. Anal. Cal., 64 (2001) 315.
K. Chatterjee, D. Dollimore and K. S. Alexander, Int. J. Pharm., 213 (2001) 31.
K. Chatterjee, D. Dollimore and K. S. Alexander, J. Therm. Anal. Cal., 63 (2001) 629.
K. Chatterjee, D. Dollimore and K. S. Alexander, Europ. J. Pharm. Biopharm., 54 (2002) 171.
K. Chatterjee, D. Dollimore and K. S. Alexander, Thermochim. Acta, 392-393 (2002) 107.
A. Hazra, D. Dollimore and K. S. Alexander, Thermochim. Acta, 392-393 (2002) 221.
P. Phang, D. Dollimore and S. J. Evans, Thermochim. Acta, 392-393 (2002) 119.
J. R. Welty, C. E. Wicks and R. E Wilson, Fundamentals of Momentum, Heat and Mass Transfer; 3rd Ed., Wiley, New York 1984, p. 567, 727.
R. C. Reid, J. M. Prausnitz and B. E. Poling, The Properties of Gases &; Liquids, 4th Ed., McGraw-Hill, New York 1987, p. 587.
W. J. Beek, K/M. K. Mutzall and J. W. van Heuven, Transport Phenomena, 2nd Ed., Wiley, Chichester 1999, p. 241.
W. W. Focke, E. Vuorinen and I. Rácz, Submitted for publication.
J. D. Raal and A. L. Mühlbauer, Phase Equilibria Measurement and Computation, Taylor &; Francis, London 1998, p. 19.
J. H. Dymond and E. B. Smith, The Virial Coefficient of Pure Gases and Mixtures. A Critical Compilation, Clarendon, Oxford 1980, p. 233, 455.
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Focke, W.W. A revised equation for estimating the vapour pressure of low-volatility substances from isothermal TG data. Journal of Thermal Analysis and Calorimetry 74, 97–107 (2003). https://doi.org/10.1023/A:1026325719190
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DOI: https://doi.org/10.1023/A:1026325719190