Theoretical Values, Percentage Deviations and Calculated Values by Polynomials Equation’s of The liquid Mixture with Equimolar mixture of Ethanol and Formamide.

2020 ◽  
Vol 10 ◽  
Author(s):  
Bhavi Patel ◽  
Bhavya Salvi ◽  
Vivekanand Mishra ◽  
Ritesh Yadav

Background: The Binary mixtures of the isopropanol/isobutanol/isoamylalcohol with equimolar mixture of ethanol and formamide consists of different ultrasonic properties have been studied at room temperature at a fixed frequency of 2 MHz. The ultrasonic related physical parameters like velocity (U), density (ρ), adiabatic compressibility (βad), intermolecular free length (Lf) ,acoustic impedance (Z) etc. have been studied. The theoretical evaluation of ultrasonic velocity in liquid mixtures offers a transparent method for the study of the nature of molecular interactions in the mixtures besides verifying the applicability of different theories such as Nomoto’s, Van Dael and Vangeel’s, Impedance Dependence relation, Junjie’s relation, Rao’s specific sound velocity relation and Jacobson’s relations, Percentage deviations of theoretical ultrasonic velocities from experimental values in the mixtures of all liquid mixture and also calculated values of ultrasonic velocity from polynomials of for all the schemes with mole fraction (x) of isopropanol/isobutanol/isoamyl alcohol. Objective: The main focus of the present work was to prepare the structural changes associated with the liquid mixtures having weakly interacting components as well as strongly interacting components. The study of molecular is association in mixtures having exact information of thermodynamic mixing properties such as adiabatic compressibility, intermolecular free length, free volume, internal pressure and molar volume and has a great importance in theoretical and applied areas of research. The ultrasonic study has been a subject of active interest during the past many years. This branch of physical sciences has played a great role in deciding the interactions between the molecules of compounds under study not only that, but also it exists a potential tool in evaluating energy exchange between various degrees of freedom and nonlinear properties in binary liquid mixtures. Methods: The binary liquid mixtures were prepared by mixing the two components, by weight, using an electronic analytical balance (Reptech RA2012) accurate to within ±0.0001 g. The average uncertainty in mole fraction of binary mixtures was estimated to be ±0.0001. To avoid losses of solvent due to evaporation, mixtures were stored in specially designed ground-glass airtight ampoules and placed in a dark place to avoid photolytic effects. Results: These empirical fittings of data are described qualitatively and quantitatively using experimental speed data even in the specific interaction predominant region where non-ideal behavior of the mixture is observed. The values of sound velocities and percentage deviation, (after determining the co-efficient in the polynomial equations by applying least squares method) have been compiled in the tables respectively. Conclusion: The ultrasonic velocities and densities for all the three mixtures are measured and the values of are calculated from these values.The observed trends of and indicate the presence of weak interactions and the strength of these interactions follow the order EMM+IPA>EMM+IBA>EMM+IAA. Besides, the ultrasonic velocities gauge from different velocity theories are correlated with the experimentally measured ultrasonic velocities. Among these theories the Jacobson’s velocity equation gives good result between the experimental and theoretical ultrasonic velocity values for all the binary mixtures occupied.

Ultrasonic speed, density and viscosity of binary liquid mixtures of aqueous ammonium per sulphate with other sulphate solutions at 303.15 K have been measured. From these experimental data, the adiabatic compressibility, intermolecular free length, internal pressure, acoustic impedance, relaxation time, molar volume, classical absorption coefficient and surface tension have been computed. The excess viscosity, excess compressibility, excess intermolecular free length, excess acoustic impedance and excess molar volume values are evaluated to find the nature and the extent of the interactions between the constituent molecules of the liquid mixture systems


1989 ◽  
Vol 67 (3) ◽  
pp. 437-441 ◽  
Author(s):  
J. D. Pandey ◽  
R. D. Rai ◽  
R. K. Shukla

Various statistical and empirical theories of ultrasonic velocity have been applied to a binary liquid mixture (benzene + nitrobenzene) at elevated pressures and their validity have been tested. A pressure-dependent study of ultrasonic velocities has been made at three different temperatures (293.15, 303.15, and 313.15 K). The agreement between the theory and experiment is found to be satisfactory. Keywords: ultrasonic velocity, benzene + nitrobenzene, pressure dependent, theoretical evaluation, binary mixtures at elevated pressures.


Author(s):  
B. Sudhamsa ◽  
M. Sarath Babu ◽  
K. Narendra

The speed of sound and density in binary liquid mixture of diethyl carbonate + benzonitrile, + benzaldehyde have been determined at temperatures 298.15, 308.15 and 318.15 K over the whole composition range. The data have been utilized to estimate the excess adiabatic compressibility (βE), excess intermolecular free length (LfE), excess speed of sound (uE) at the above temperatures. The excess values have been found to be useful in estimating the strength of the interactions in the liquid mixtures.


Author(s):  
D. Chinnarao ◽  
M. Sri Latha ◽  
K. Raja ◽  
Ch.V. Padmarao

Density, speed of sound and viscosity have been measured for binary liquid mixture containing Ethyloleate+o-toludine over the entire composition range at temperatures 303.15, 308.15, 313.15 and 318.15 K and at atmospheric pressure. By using these values various parameters like adiabatic compressibility (βad), free volume (Vf), intermolecular free length (Lf), internal pressure (π) and their excess values have been calculated. The intermolecular interactions and structural effects are analyzed on the basis of the measured and derived properties.


2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Sk. Fakruddin ◽  
Ch. Srinivasu ◽  
B. R. Venkateswara Rao ◽  
K. Narendra

The ultrasonic velocity and density of binary liquid mixtures of quinoline with o-xylene, m-xylene, and p-xylene have been measured over the entire range of composition at = 303.15, 308.15, 313.15, and 318.15 K. Using these data, various parameters like adiabatic compressibility (β), intermolecular free length (), and acoustic impedance () and some excess parameters like excess adiabatic compressibility (), excess intermolecular free length (), excess acoustic impedance (), and excess ultrasonic velocity () have been calculated for all the three mixtures. The calculated deviations and excess functions have been fitted to Redlich-Kister polynomial equation. The observed deviations have been explained on the basis of the intermolecular interactions present in these mixtures.


Author(s):  
N. Santhi ◽  
P.L. Sabarathinam ◽  
G. Alamelumangai ◽  
J. Madhumitha ◽  
M. Emayavaramban

Ultrasonic velocity, viscosity and density of alcohol[s] in n-hexane have been measured at various temperatures in the range of 303.15 - 318.15K. From the experimental data, the acoustical parameters such as molar volume, adiabatic compressibility, intermolecular free length and their excess values have been computed and presented as functions of compositions. The deviations from ideality of the acoustical parameters are explained on the basis of molecular interactions between the components of the mixtures. The variations of these parameters with composition of the mixture suggest the strength of interactions in these mixtures.


2011 ◽  
Vol 8 (3) ◽  
pp. 977-981
Author(s):  
CH. Srinivasu ◽  
K. Narendra ◽  
CH. Kalpana

Theoretical velocities of binary liquid mixtures of anisaldehyde with toluene at 303.15, 308.15, 313.15 and 318.15 K have been evaluated by using theoretical models of liquid mixtures such as Nomoto, Van Dael-Vangeel, Schaff’s collision factor theory and Junjie’s relations. Density and ultrasonic velocity of these mixtures have also been measured as a function of concentration and temperature and the experimental values are compared with the theoretical values. A good agreement has been found between experimental and Nomoto’s theoretical ultrasonic velocities. The results are explained in terms of intermolecular interactions occurring in these binary liquid mixtures.


Author(s):  
G. Pavan Kumar ◽  
Ch. Praveen Babu ◽  
K. Samatha ◽  
A.N. Jyosthna ◽  
K. Showrilu

Ultrasonic velocities (U), densities (ρ), and coefficient of viscosities (η) are measured for binary mixtures containing (i) p-chlorotoluene and (ii) benzene at 303.15 K, 308.15 K, 313.15 K and 318.15 K to understand the molecular interaction. Various acoustical parameters such as adiabatic compressibility (βad), free length (Lf), acoustic impedance (Z), free volume (Vf), molar volume (Vm), Rao’s constant (R), Wada’s constant (W) and internal pressure (πi), are calculated from the measured values of U, ρ, and η. The trend in acoustical parameters also substantiates to asses strong molecular interactions.


Author(s):  
S.S.J. Srinivas ◽  
B. Tulasi Koteswari Bai ◽  
K. Babu Rao ◽  
K. Narendra ◽  
M. Sarath Babu

The densities, viscosities and ultrasonic velocities of binary liquid mixtures of Isopropyl alcohol with acetophenone and methyl isobutyl ketone (MIBK) have been measured at temperatures 298.15 and 308.15 K over the entire range of mole fraction. From these data, acoustical parameters such as adiabatic compressibility (β), free volume (Vf) and free length (Lf) have been estimated using the standard relations. The results are interpreted in terms of molecular interactions present in the mixtures.


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