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First and second thermodynamic mixing functions of ethylbenzene+n-nonane, +n-decane,and+n-dodecane at 25 and 45°C
Authors:A D Matilla  G Tardajos  M Diaz Peña  E Aicart
Institution:(1) Departamento de Quimica Fisica, Facultad de Ciencias Quimicas, Universidad Complutense, 28040 Madrid, Spain
Abstract:Isothermal compressibilities kappaT and isobaric thermal expansion coefficients agrp have been determined for mixtures of ethylbenzene+n-nonane, +n-decane, and +n-dodecane at 25 and 45°C in the whole range of composition. The excess functions 
$$(\kappa _\nu  ^V )^E  =  - (\partial V^{\text{E}} /\partial p)_{\text{T}} $$
and 
$$(\alpha p{\text{V}})^{\text{E}}  = (\partial {\text{V}}^{\text{E}} /\partial T)_p $$
have been obtained at each measured mole fraction. The first one 
$$ - (\partial {\text{V}}^{\text{E}} /\partial p)_{\text{T}} )$$
is zero for ethylbenzene +n-nonane, positive for ethylbenzene +n-decane, and +n-dodecane and increases with chain length n of the n-alkane. The 
$$(\partial {\text{V}}^{\text{E}} /\partial T)_{\text{P}} $$
function is positive for the three studied systems and nearly constant with n. Both mixing functions increase slightly with temperature. From this measurement and supplementary literature data of molar heat capacities at constant pressure C P , the isentropic compressibilities kappaS, the molar heat capacities at constant volume C V and the corresponding mixing functions have been calculated at 25°C. Furthermore, the pressure dependence of excess enthalpy H B , 
$$(\partial H^{\text{E}} /\partial p)_{\text{T}} $$
at zero pressure and at 25°C has been obtained from our experimental results of 
$$(\partial V^{\text{E}} /\partial T)_{\text{P}} $$
and experimental literature values for excess volume V E .
Keywords:Compressibilities  isobaric thermal expansion  heat capacities  excess volumes  excess enthalpies  mixing functions  pressure  liquid mixtures  ethylbenzene  nonane  decane  dodecane
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