On the Clapeyron equation

Potter, J. H.

doi:10.1016/0016-0032(66)90302-4

Cited by 3 publications

(5 citation statements)

References 2 publications

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“…The h fg ( T ) values predicted from f srt eth ( T ) are plotted in Figure where they may be compared with the available data for h fg ( T ). Note that there is no disagreement between the predicted and independently determined values , in the temperature range between 243 and 273 K.…”

Section: Resultsmentioning

confidence: 71%

“…Comparison of the predicted values of h fg ( T ) obtained from f srt eth ( T ) with the independently determined values reported by DIPPR , in the temperature range considered.…”

Section: Resultsmentioning

confidence: 99%

“…Accurate, low-temperature data were not available in the literature. Instead, the independent data used in Figure were calculated from the Clapeyron equation. , The average error between the h fg ( T ) values predicted from SRT and those independently calculated was 0.3%.…”

Section: Discussionmentioning

confidence: 99%

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Statistical Rate Theory Examination of Ethanol Evaporation

2010

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A series of low-temperature (246 < T(I)(L) < 267 K) steady-state ethanol evaporation experiments have been conducted to determine the saturation vapor pressure of metastable ethanol. The measured interfacial conditions have been used with statistical rate theory (SRT) to develop an expression for the saturation vapor pressure as a function of temperature, f(srt)(eth). This expression is shown to be thermodynamically consistent because it gives predictions of both the evaporative latent heat and the liquid constant-pressure specific heat that are in agreement with independent measurements of these properties. In each experiment, the interfacial vapor temperature was measured to be greater than the interfacial liquid temperature, [triple bond]DeltaT(I)(LV). When f(srt)(eth) is used in SRT to predict DeltaT(I)(LV), the results are shown to be consistent with the measurements. Other expressions for the saturation vapor pressure that are in the literature are examined and found to be thermodynamically inconsistent and do not lead to valid predictions of DeltaT(I)(LV).

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Section: Resultsmentioning

confidence: 71%

“…Comparison of the predicted values of h fg ( T ) obtained from f srt eth ( T ) with the independently determined values reported by DIPPR , in the temperature range considered.…”

Section: Resultsmentioning

confidence: 99%

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Statistical Rate Theory Examination of Ethanol Evaporation

2010

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“…257 Similar agreement was found by Persad and Ward 118 when they compared the h fg values calculated from eqs 24 and 23 to those independently reported by the Design Institute for Physical Properties Research (DIPPR). 239,258 Thus, the P s (T) expressions determined from SRT, eqs 22 and 23, led to correct predictions of h fg that agreed with independent measurements.…”

Section: Steady-state Evaporation and Measurements Of Evaporation Flu...mentioning

confidence: 72%

“…The h fg values calculated by Duan et al from eqs and were reported to agree with those independently measured by Kell et al and by Wagner and Pruß . Similar agreement was found by Persad and Ward when they compared the h fg values calculated from eqs and to those independently reported by the Design Institute for Physical Properties Research (DIPPR). , Thus, the P s ( T ) expressions determined from SRT, eqs and , led to correct predictions of h fg that agreed with independent measurements.…”

Section: Review Of the Statistical Rate Theory Expression For The Eva...mentioning

confidence: 99%

Expressions for the Evaporation and Condensation Coefficients in the Hertz-Knudsen Relation

2016

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Although the Hertz-Knudsen (HK) relation is often used to correlate evaporation data, the relation contains two empirical parameters (the evaporation and condensation coefficients) that have inexplicably been found to span 3 orders of magnitude. Explicit expressions for these coefficients have yet to be determined. This review will examine sources of error in the HK relation that have led to the coefficients' scatter. Through an examination of theoretical, experimental, and molecular dynamics simulation studies of evaporation, this review will show that the HK relation is incomplete, since it is missing an important physical concept: the coupling between the vapor and liquid phases during evaporation. The review also examines a modified HK relation, obtained from the quantum-mechanically based statistical rate theory (SRT) expression for the evaporation flux and applying a limit to it in which the thermal energy is dominant. Explicit expressions for the evaporation and condensation coefficients are defined in this limit, with the surprising result that the coefficients are not bounded by unity. An examination is made with 127 reported evaporation experiments of water and of ethanol, leading to a new physical interpretation of the coefficients. The review concludes by showing how seemingly small simplifications, such as assuming thermal equilibrium across the liquid-vapor interface during evaporation, can lead to the erroneous predictions from the HK relation that have been reported in the literature.

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Low-temperature hydrothermal carbonization of pectin enabled by high pressure

Zhao

Yang

et al. 2022

Journal of Analytical and Applied Pyrolysis

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On the Clapeyron equation

Cited by 3 publications

References 2 publications

Statistical Rate Theory Examination of Ethanol Evaporation

Statistical Rate Theory Examination of Ethanol Evaporation

Expressions for the Evaporation and Condensation Coefficients in the Hertz-Knudsen Relation

Low-temperature hydrothermal carbonization of pectin enabled by high pressure

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