A new Gaussian adsorption isotherm model: test data is methane-5A zeolite
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A new Gaussian adsorption isotherm model: test data is methane-5A zeolite Dana Abouelnasr · Kevin F. Loughlin
Received: 11 October 2009 / Accepted: 23 May 2010 / Published online: 11 June 2010 © Springer Science+Business Media, LLC 2010
Abstract An adsorption isotherm model is deduced based on the Gaussian cumulative frequency distribution principles. This isotherm has three parameters: qmax , the 50% adsorbate loading pressure P50 , and the standard deviation σ . The isotherm development hinges on establishing P50 and σ . These are deduced from a log plot of the isotherm pressure P versus the inverse Gaussian cumulative frequency distribution plot. The slope of this plot is σ and the y-intercept is P50 . The temperature dependency of P50 is deduced from a plot of log P50 versus 1/T : this is actually the isosteric plot at 50% loading with slope equal to the heat of adsorption at 50% loading. The model is tested using the literature methane data for 5A zeolite. Twenty-four isotherms from six different studies are fitted with the model using a qmax of 9 g/100 gZ applicable to methane 5A isotherms in the temperature range of the study, as reported in the literature. The standard deviation σ is observed to be 0.98 ± 0.088. The isostere of P50 indicates a heat of adsorption between 4.62–4.97 kcals/mole consistent with literature values. All 24 isotherms reduce to one characteristic curve when θ is plotted against (P /P50 )1/σ . The θ values approaching zero (
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