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ABSTRACT Research and development studies in ultrasonics deals with the different methods used to study various properties possess by the materials. These properties include the structural, mechanical, chemical, thermal, optical and many other properties. When two or more liquids mixed together then mixture cannot behave as an ideal mixture, the deviation from ideality can be considered as the degree of molecular interactions between the constituents of liquid mixture. Theoretical evaluation of ultrasonic speed in the pure liquids and their mixture has been used to correlate with the experimental values, which gives their thermodynamic behavior. The comparison of theoretical results with experimental results also provides better insight about the validity of empirical, thermodynamic and statistical theories. The accurate and precise picture of active molecular association in liquids can be expressed by describing the model equations of state using Lennared-Jones potential. The theories like FLT, CFT and SPT for pure liquids and their mixtures are using single adjustable parameter hence all these theories are depends on the geometry of molecules. The speed of ultrasonic wave in liquids not only depends on the geometry of molecules but also depends on the repulsive and attractive molecular interactions. Hence it is necessary to extend domain of SPT by introducing additional parameters. Khasare modifies basic theory by introducing two adjustable parameters hard sphere cavity diameter along with the concept of binding theory. The extended scale particle theory approach is useful to compute thermodynamic behavior of a real liquid. In order to predict precise computed speed of ultrasonic wave, the thermodynamic molar volume and volume expansion coefficient simultaneously, it requires an assumption like multiple of molecular weight along with specific heat ratio. With this approach it is possible to simulate minimum size of molecular cluster at a given temperature using computer algebra. This type of computations is useful to bio-fluids and polymers where molecular weights and specific heats are not available. Various statistical and empirical theories of ultrasonic velocity have been applied to binary liquid mixture containing over the whole concentration range at 301.15K.Nomato relation, Van Deal ideal mixing relation, Junjis relation and Flory free length theory are used to compute theoretical ultrasonic velocities .These values are compared with the experimental values ,their validity are checked by calculating the average percentage error. The agreement between theoretical and of experimental values was found to be satisfactory. Further, the molecular interaction parameter(α) was computed by using the values of experimental and theoretical ultrasonic velocity. The variations of this parameter with composition of mixture have been discuss in terms of intermolecular interactions in these binary liquid mixture. The concept of hard sphere (HS) body is useful in development of theories of liquid state. The properties of hard sphere provide the theoretical backbone of many equations of state (EOS) for real fluids. The Carnahan-Sterling1 (EOS) for non attraction rigid spheres provides an accurate representation of compressibility factor (Z) as a function of reduced density. There is considerable interest in developing more accurate hard sphere equation to improve prediction of interaction of real fluids. The accuracy of (HS-EOS) is to compare (Z, ρ) behavior exact (HS) data obtain from molecular simulation results given by many workers.
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