Advances in Chemistry

Volume 2014 (2014), Article ID 343012, 7 pages

http://dx.doi.org/10.1155/2014/343012

## Speeds of Sound and Excess Molar Volume for Binary Mixture of 1,4-Dioxane with 1-Heptanol at Five Temperatures

^{1}Department of Physics, Sri Vani School of Engineering, Chevuturu, Andhra Pradesh 521 229, India^{2}Department of Physics, Andhra Loyola College, Vijayawada, Andhra Pradesh 520 008, India

Received 2 May 2014; Accepted 29 September 2014; Published 5 November 2014

Academic Editor: Sandrine Bouquillon

Copyright © 2014 Anil Kumar Koneti and Srinivasu Chintalapati. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

Speed of sound and density data for dilute liquid solutions of cyclic ether 1,4-dioxane with 1-heptanol was obtained using the Anton-Paar DSA 5000 at five temperatures = (298.15, 303.15, 308.15, 313.15, and 318.15) K at atmospheric pressure. The excess parameters were calculated from experimental data and fitted with a Redlich-Kister polynomial function and concluded the presence of weak molecular interactions.

#### 1. Introduction

Cyclic ethers are considered some of the most important chemicals in the industry. Particularly, branched ethers (such as 2-methoxy-2-methylpropane or MTBE, 2-ethoxy-2-methyl-propane or ETBE, 2,2′-oxybis[propane] or DIPE, and 2-methoxy-2-methylbutane or TAME) have extensively been used as oxygenates in gasoline production. Cyclic ethers, in turn (e.g., 1,3-dioxolane, 1,4-dioxane, 1,3,5-trioxane, tetrahydrofuran, and tetrahydropyran), are frequently used as solvents in chemical and electrochemical processes, likewise as basic reagents (i.e., monomer) for ring-opening polymerization, and for the production of other chemical intermediaries. 1-Heptanol is often utilized in cardiac electrophysiology experiments to block gap junctions and increase axial resistance between myocytes. Increasing axial resistance will decrease conduction velocity and increase the heart’s condition to reentrant excitation and sustained arrhythmias. It has a pleasant smell and is employed in cosmetics for its fragrance.

Speeds of sound and deviations in isentropic compressibilities have been previously reported by the author in their earlier studies on 1,4-dioxane + 1-butanol [1] at five temperatures = (298.15, 303.15, 308.15, 313.15 and 318.15) K. In the continuation of investigation on excess thermodynamics functions of cyclic ethers in polar and non-polar solvents, authors are reporting the experimental values, deviations in isentropic compressibility (), excess molar volumes (), excess free length (), excess acoustic impedance (), and excess sound velocity () for the binary system 1,4-dioxane + 1-heptanol. The parameters are estimated using standard equations that are reported by many authors [2–5]. These excess parameters are discussed in the focus of intermolecular interactions present in the mixture at = (298.15, 303.15, 308.15, 313.15, and 318.15) K using Anton-Paar. At the end for the best fit of the result Redlich-Kister coefficients and their related standard deviations are enclosed.

#### 2. Experimental Procedure

In the present study the chemicals 1,4-dioxane and 1-heptanol are purchased from Sigma Aldrich chemical company, their mass fraction purities is >0.998. To begin with for the measurements purpose all prepared solutions were done at the same particular temperature, also changing the temperature the measurements were repeated.

Speeds of sound, , densities, , of the pure compounds, and their mixtures were obtained with an Anton-Paar DSA-5000 vibrating tube densimeter and sound analyzer. All controls, adjustments, and checks were done using manufacturer’s software installed in the device. A computer connected to the U tube densimeter enabled us to read the raw data from the device memory and to perform the consequent evaluation. The temperature was automatically kept constant within ±0.01 K. The precision of the speed of sound and density measurements is ±0.1 ms^{−1} and ±3 × 10^{−5} gcm^{−3}, respectively. The uncertainty of the speed of sound measurements is ±1 m·s^{−1} while the uncertainty for the density is ±10^{−5} g·cm^{−3}. Calibration of the apparatus was carried out with air and degassed double-distilled water. Experimental values of the speed of sound of the pure compounds at five temperatures, along with literature values at temperature range of 298.15 to 318.15 K, are reported in Table 1. Mole fractions of these samples were determined by measuring the mass of each component with a precision balance Sartorius, model CP 225D, ±0.01 mg.

#### 3. Results and Discussion

The derived excess parameters such as , , , , and at above five temperature are summarized in Tables 2 and 2. From the tables, it is observed that, the experimental speed of sound values of the binary liquid mixture decreases up to the mole fraction of 0.4090 (at 298.15, 303.15 K), 0.5244 (at 308.15, 313.15, 318.15 K) and then increase with increasing mole fraction of 1,4-dioxane, whereas the density increases with increasing mole fraction. This indicates that there is a dipole-induced dipole interaction between component molecules [3, 16].

The experimental data measured values of speed of sound () and density () various thermoacoustical parameters: isentropic compressibility: molar volume: where , intermolecular free length: where is Jacobson’s constant, temperature dependent, specific acoustic impedance: The strength of interaction between the component molecules of binary liquid system is well reflected in the excess functions from ideality. The excess thermodynamic properties such as , , , , and have been calculated using the following equation: where and are mole fractions of 1,4-dioxane and 1-heptanol, respectively.

Further, the excess parameters were fitted to Redlich-Kister polynomial equation to estimate the adjustable parameters: Using least-squares regression method, the coefficients are obtained by fitting the above equation to the experimental values. The optimum number of coefficients are ascertained from an examination of the variation in standard deviation equation as where is the number of data points and is the degree of fitting (i.e. number of coefficients) these values are reported in Table 3.

Generally, the values of the excess functions , , and depend upon several physical and chemical contributions [3, 17]. The physical contribution depends mainly on two factors, namely,(a)the dispersion forces or weak dipole-dipole interaction that leads to positive values,(b)the geometrical effect allowing the fitting of molecules of two different sizes into each other’s structure resulting in negative values.

The chemical contributions include breaking up of the associates present in pure liquids, resulting in positive , , and . In the present mixture the graphical representations for deviation isentropic compressibilities (), excess molar volumes (), and excess free length () are positive, presented in Figures 1, 2, and 3.The positive values reveal that there are present weak interactions in the mixture.

Figure 4 shows that the excess acoustic impedance becomes more negative at 0.5244 mole fraction of the binary mixture. The negative values of [1, 18] indicate that the breaking of hydrogen bond in 1-heptanol leads to weak packing of the structure. Also, Figure 5 shows values exhibiting negative deviations over the entire composition range of 1,4-dioxane in the mixture at all five temperatures studied. The negative deviations of and suggest that dispersion forces are operative in the system. Similar reports are made by Ali et al. [19]. Further, Bahadur et al. [20] and Sumathi and Govindarajan [3]. According to their reports the negative values of indicates the decrease in the strength of interaction between the molecules in the mixture. In the present work the negative deviations of and suggests the presence of weak interaction dispersive forces between the unlike molecules.

#### 4. Conclusion

Speed of sound and density for binary mixture that consist of 1,4-dioxane with 1-heptanol system are measured at = (298.15, 303.15, 308.15, 313.15, and 318.15) K using Anton-Paar. The derived acoustical parameters and their excess parameters , , and are positive and , are negative which hint to the presence of weak dispersive forces between the component molecules in the mixture at all five temperatures studied.

#### Conflict of Interests

The authors declare that there is no conflict of interests regarding the publication of this paper.

#### References

- K. A. Kumar, C. Srinivasu, and K. T. S. S. Raju, “Ultrasonic velocities and excess properties of binary mixture of 1, 4-dioxane + 1-butanol at temperatures between (298.15 and 318.15) K,”
*Journal of Chemical, Biological and Physical Sciences C*, vol. 3, no. 4, pp. 2914–2923, 2013. View at Google Scholar - A. Dan Li and W. Fang, “Thermodynamic study of binary mixtures of tricycle decane with N-methylpiperazine or triethylamine at T = 298.15–323.15 K,”
*Thermochimica Acta*, vol. 544, pp. 38–42, 2012. View at Google Scholar - T. Sumathi and S. Govindarajan, “Molecular Interaction Studies on Some Binary Organic Liquid Mixtures at 303 K,”
*International Journal of Biology, Pharmacy and Allied Sciences (IJBPAS)*, vol. 1, no. 8, pp. 1153–1165, 2012. View at Google Scholar - S. Thirumaran, R. Murugan, and N. Prakash, “Acoustic study of intermolecular interactions in binary liquid mixtures,”
*Journal of Chemical and Pharmaceutical Research*, vol. 2, no. 1, pp. 53–61, 2010. View at Google Scholar - K. Anil Kumar, C. H. Srinivasu, S. K. Fakruddin, and K. Narendra, “Acoustical behavior of molecular interactions in binary liquid mixture containing 1-butanol and hexane at temperatures 298.15 K, 303.15 K and 308.15 K,”
*International Journal of Pharmaceutical and Chemical Sciences*, vol. 3, no. 1, pp. 10–13, 2014. View at Google Scholar - A. Villares, S. Martín, M. Haro, B. Giner, and H. Artigas, “Densities and speeds of sound for binary mixtures of (1,3-dioxolane or 1,4-dioxane) with (2-methyl-l-propanol or 2-methyl-2-propanol) at the temperatures (298.15 and 313.15) K,”
*Journal of Chemical Thermodynamics*, vol. 36, no. 12, pp. 1027–1036, 2004. View at Publisher · View at Google Scholar · View at Scopus - J. A. Riddick, W. B. Bunger, and T. K. Sakano,
*Organic Solvents. Techniques of Chemistry*, vol. 2, Wiley/Interscience, New York, NY, USA, 4th edition, 1986. - F. Corradini, G. Franchini, L. Marcheselli, L. Tassi, and G. Tosi, “Densities and excess molar volumes of 2-methoxyethanol/water binary mixtures,”
*Australian Journal of Chemistry*, vol. 45, no. 7, pp. 1109–1117, 1992. View at Publisher · View at Google Scholar - A. G. Oskoei, N. Safaei, and J. Ghasemi, “Densities and viscositiesfor binary and ternary mixtures of 1, 4-dioxane + 1-1-heptanol + N , N-dimethylaniline from T = (283.15 to 343.15) K,”
*Journal of Chemical & Engineering Data*, vol. 53, pp. 343–349, 2008. View at Google Scholar - M. Das and M. N. Roy, “Studies on thermodynamic and transport properties of binary mixtures of acetonitrile with some cyclic ethers at different temperatures by volumetric, viscometric, and interferometric techniques,”
*Journal of Chemical & Engineering Data*, vol. 51, no. 6, pp. 2225–2232, 2006. View at Publisher · View at Google Scholar · View at Scopus - M. A. Saleh, S. Akhtar, M. S. Ahmed, and M. H. Uddin, “Excess molar volumes and thermal expansivities of aqueous solutions of dimethylsulfoxide, tetrahydrofuran and 1,4-dioxane,”
*Physics and Chemistry of Liquids*, vol. 40, no. 5, pp. 621–635, 2002. View at Publisher · View at Google Scholar · View at Scopus - E. Zorebski, M. Geppert-Rybczyńska, and B. Maciej, “Densities, speeds of sound, and isentropic compressibilities for binary mixtures of 2-ethyl-1-hexanol with 1-pentanol, 1-heptanol, or 1-nonanol at the temperature 298.15 K,”
*Journal of Chemical and Engineering Data*, vol. 55, no. 2, pp. 1025–1029, 2010. View at Publisher · View at Google Scholar · View at Scopus - A. Pineiro, P. Brocos, A. Amigo, M. Pintos, and R. Bravo, “Refractive indexes of binary mixtures of tetrahydrofuran with 1-alkanols at 25°C and temperature dependence of
*n*and*ρ*for the pure liquids,”*Journal of Solution Chemistry*, vol. 31, no. 5, pp. 369–380, 2002. View at Google Scholar - J. A. González, I. Mozo, I. g. de la Fuente, J. C. Cobos, and N. Riesco, “Thermodynamics of (1-alkanol + linear monoether) systems,”
*The Journal of Chemical Thermodynamics*, vol. 40, no. 10, pp. 149–152, 2008. View at Publisher · View at Google Scholar · View at Scopus - A. Pal and R. Gaba, “Densities, excess molar volumes, speeds of sound and isothermal compressibilities for {2-(2-hexyloxyethoxy)ethanol +
*n*-alkanol} systems at temperatures between (288.15 and 308.15) K,”*The Journal of Chemical Thermodynamics*, vol. 40, no. 5, pp. 750–758, 2008. View at Publisher · View at Google Scholar · View at Scopus - R. Kumar, S. Jayakumar, and V. Kannappan, “Study of molecular interactions in binary liquid mixtures,”
*Indian Journal of Pure and Applied Physics*, vol. 46, no. 3, pp. 169–175, 2008. View at Google Scholar · View at Scopus - A. Ali, A. K. Nain, V. K. Sharma, and S. Ahmed, “Ultrasonic studies in binary liquid mixtures,”
*Indian Journal of Physics B*, vol. 75, no. 6, pp. 519–525, 2001. View at Google Scholar - S. Singh, I. Vibhu, M. Gupta, and J. P. Shukla, “Excess acoustical and volumetric properties and the theoretical estimation of the excess thermodynamic functions of binary liquid mixtures,”
*Chinese Journal of Physics*, vol. 45, no. 4, pp. 412–424, 2007. View at Google Scholar · View at Scopus - A. Ali, Abida, S. Hyder, and A. K. Nain, “Ultrasonic, volumetric and viscometric study of molecular interactions in binary mixtures of 2,2,4-trimethyl pentane with n-hexane and cyclohexane at 308 K,”
*Indian Journal of Physics B*, vol. 76, no. 5, pp. 661–667, 2002. View at Google Scholar - A. S. Bahadur, M. C. S. Subha, and K. C. Rao, “Ultrasonic velocity and density studies in binary liquid mixtures of N, N-dimethyl formamide with 2-methoxyethanol, 2-ethoxyethanol and 2-butoxyethanol at 308.15 K,”
*Journal of Pure and Applied Ultrasonics*, vol. 23, pp. 26–36, 2001. View at Google Scholar