Acoustical Investigations of Molecular Interactions in Polymer Solutions of PAN/Clay Nano composites and DMSO

Abstract

Acoustical studies of intermolecular interactions in the polymer solution of PAN / clay nanocomposites and DMSO have been done at 30 degree Celsius using experimental ultrasonic velocity and density data taken from literature. Several acoustical and thermo-dynamical parameters such as isothermal compressibility, adiabatic compressibility, specific heat ratio, volume expansivity, surface tension, specific sound velocity, specific adiabatic compressibility, intermolecular free length, pseudo-Gruneisen parameter and classical absorption coefficient have been evaluated. Some elastic parameters such as Young modulus, shear modulus, bulk modulus and Poisson ratio have also been determined. Non linear parameters such as Moelwyn-Hughes parameter, reduced volume, reduced compressibility, Sharma’s constants, Huggins parameter, isobaric acoustical parameter, isochoric acoustical parameter, isothermal acoustical parameter, fractional free volume, repulsive exponent, thermo acoustical parameter such as A * and B * , Bayer’s non-linear parameter, internal pressure, isochoric thermo-acoustical parameter and isochoric temperature coefficient of internal pressure have also been calculated. The Moelwyn-Hughes parameter has been utilized to establish relation between the Bayer’s non linear parameter, internal pressure and Sharma constant. Relationships among the isobaric, isothermal and isochoric thermo- acoustical parameter have been studied and analyzed for PAN/clay nano composites. The obtained results have been compared with the experimental results as available in literature. The non-ideal behavior of the polymer solution has been explained in terms of its composition and variation of its acoustical and thermo-dynamical parameters. The present treatment offers a convenient method to investigate thermo-acoustic properties and anharmonic behavior of the system under study.