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Ultrasonic Investigation in liquid and liquid mixture has an extensive application to study the physical and acoustical behaviour of liquid mixture Different acoustical parameters and their excess values basing on ultrasonic velocity measurement provide qualitative information on molecular interaction in liquid mixture. These acoustical properties have a wide use in engineering, textile industries, and pharmaceutical industries. The Ultrasonic Velocity and density of binary mixture of DBP with nitrobenzene at frequencies 1MHz, 3MHz, 5MHz and 7MHz are measured over entire composition range at 318K temperature. The acoustical parameters such as adiabatic compressibility (Ks), intermolecular free length (Lf), acoustic impedance (Z), relative association (RA), molar Volume (V), molecular interaction parameter (χ) and also excess parameters such as excess velocity (CE) and excess free length (LEf), excess compressibility (KEs), excess molar volume (VE) and excess acoustic impedance (ZE) are computed at different frequencies. These parameters are used in analysing the nature and reflects the strength molecular interaction between molecules of DBP and nitrobenzene in the binary mixture. The effect of frequency in these binary mixture are analyzed in the light of deviations of the parameters with change in frequencies. A comparison of ultrasonic velocity (U) evaluated using Nomoto’s relation (NR), Free length theory (FLT), and ideal mixing relation (IMR), Junjie’s relation(JM), and Schaaffs collision factor theory(CFT) at constant temperature and at frequencies 1MHz, 3MHz, 5MHz and 7MHz.have been carried out in the binary mixture of DBP with nitrobenzene. The percentage of deviation of experimental values from theoretical values and average absolute percentage of deviation (AAPD) are calculated. The relative applicability and merits of these theories were checked and discussed. The predictive abilities of various ultrasonic theories depend on the strength of interaction prevailing in the system. These theories generally fail to predict ultrasonic velocities accurately in systems having strong interactions. Systems having weak interactions show small percentage of deviations and this is observed in the present study. The validity of the theories/formulations for describing the ultrasonic response of the liquid mixture has been examined and compared. The order of applicability of the theoretical models in the binary mixture have been derived and discussed.
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