Isobaric vapor-liquid equilibrium measurements are reported for the binary mixture of Methyl acetate and Isopropylbenzene at 97.3 kPa. The measurements have been performed using a vapor recirculating type (modified Othmer's) equilibrium still. The mixture shows positive deviation from ideality and does not form an azeotrope. The activity coefficients have been calculated taking into considerati...

Isobaric vapor–liquid equilibrium (VLE) data for 2-propanol + 1-butanol, 2-propanol + 1-pentanol, 1butanol + 1-pentanol and 2-propanol + 1-butanol + 1-pentanol were measured at 101.3 kPa by using an improved Rose still. All the binary VLE data have passed the traditional area test proposed by Herington. The interaction parameters for the Wilson, NRTL and UNIQUAC equations were determined by reg...

Abstract The stability of amino acids in solutions containing electrolytes and the effect ambient pH on their biological activity is an important research area. In this work, volumetric transport properties ionic liquid (IL) aqueous solution with special performance 1-(2-carboxyethyl)-3-methylimidazolium chloride ([HOOCEMIM][Cl]) were studied. selected IL acts as electrolyte allows study system...

Experimental solubility curves and tie-line data for the (water + phenol + 2-ethyl-1-hexanol) system was obtained at T = 298.2 K and atmospheric pressure. The tie-line data was determined by techniques karl-fischer and refractometry. This ternary system exhibits type-2 behavior of LLE. Distribution coefficients and separation factors were measured to evaluate the extracting ability of the solve...

We are interested in the question of how much the order of a non-standard model of PA can determine the model. In particular, for a model M , we want to characterize the complete types p(x, y) of non-standard elements (a, b) such that the linear orders {x : x < a} and {x : x < b} are necessarily isomorphic. It is proved that this set includes the complete types p(x, y) such that if the pair (a,...

The notion of a strongly determined type over A extending p is introduced , where p 2 S(A). A strongly determined extension of p over A assigns, for any model M A, a type q 2 S(M) extending p such that, if c realises q, then any elementary partial map M ! M which xes acl eq (A) pointwise is elementary over c. Examples are provided of many theories with strongly determined types, and some withou...

For a cardinal κ and a model M of cardinality κ let No(M) denote the number of non-isomorphic models of cardinality κ which are L∞,κequivalent to M . We prove that for κ a weakly compact cardinal, the question of the possible values of No(M) for models M of cardinality κ is equivalent to the question of the possible numbers of equivalence classes of equivalence relations which are Σ1-definable ...

Certain basic concepts of geometrical stability theory are generalized to a class of closure operators containing algebraic closure. A specific case of a generalized closure operator is developed which is relevant to Vaught’s conjecture. As an application of the methods, we prove Theorem A. Let G be a superstable group of U− rank ω such that the generics of G are locally modular and Th(G) has f...

Suppose λ is a singular cardinal of uncountable cofinality κ. For a model M of cardinality λ, let No(M) denote the number of isomorphism types of models N of cardinality λ which are L∞λ-equivalent to M. In [She85] Shelah considered inverse κ-systems A of abelian groups and their certain kind of quotient limits Gr(A)/Fact(A). In particular Shelah proved in [She85, Fact 3.10] that for every cardi...

The Zeaman-House-Lovejoy (ZHL) model for discrimination learning involves interacting perceptual and response learning processes, with rate parameters v and 0, respectively. This paper describes a number of predictions of the ZHL model for the optional shift paradigm. Kendler and Kendler showed that the proportion of subjects who learn an optional shift as a reversal increases with subject’s ag...