Densities, Apparent Molar Volume, Expansivities, Hepler’s Constant, and Isobaric Thermal Expansion Coefficients of the Binary Mixtures of Piperazine with Water, Methanol, and Acetone at T = 293.15 to 328.15 K

Qazi Mohammed Omar,Jean-Noël Jaubert,Javeed A Awan

doi:10.1155/2018/8689534

Abstract

The properties of 3 binary mixtures containing piperazine were investigated in this work. In a first step, the densities for the two binary mixtures (piperazine + methanol) and (piperazine + acetone) were measured in the temperature range of 293.15 to 328.15 K and 293.15 to 323.15 K, respectively, at atmospheric pressure by using a Rudolph research analytical density meter (DDM 2911). The concentration of piperazine in the (piperazine + methanol) mixture was varied from 0.6978 to 14.007 mol/kg, and the concentration of piperazine in the (piperazine + acetone) mixture was varied from 0.3478 to 1.8834 mol/kg. On the other hand, the density data for the (piperazine + water) mixture were taken from the literature in the temperature range of 298.15 to 328.15 K. In a second step, for the 3 investigated systems, the apparent molar volume (Vϕ) and the limiting apparent molar volume (Vϕ0) at infinite dilution were calculated using the Redlich–Mayer equation. The limiting apparent molar volumes (Vϕ0) were used to study the influence of the solute-solvent and solute-solute interactions. The temperature dependency of the apparent molar volumes was used to estimate the apparent molar expansibility, Hepler’s constant ∂2Vϕ0/∂T2P, and isobaric thermal expansion coefficients αP.

Highlights

Information about the physical properties of solutions in the vast range of solute concentrations at different temperatures is greatly important for physicochemical processes and the natural environment [1, 2].e apparent molar volumes are relevant to determine the molecular interactions happening in solutions [3]
Results and Discussion e densities of all three binary mixtures, and as a function of the molality of piperazine and temperature are presented in Table 3 and plotted in Figures 2–4. e experiments cover the commercially significant concentration range of piperazine with water, methanol, and acetone, that is, concentrations that are important for industrial applications like the design of gas processing technology, liquid-liquid extraction, and leaching
The mixtures of piperazine + methanol were prepared in a concentration range of 2.187 wt.% to 30.978 wt.% (0.6978 mol/kg to 14.007 mol/kg)

Summary

Research Article

Apparent Molar Volume, Expansivities, Hepler’s Constant, and Isobaric Thermal Expansion Coefficients of the Binary Mixtures of Piperazine with Water, Methanol, and Acetone at T = 293.15 to 328.15 K. The densities for the two binary mixtures (piperazine + methanol) and (piperazine + acetone) were measured in the temperature range of 293.15 to 328.15 K and 293.15 to 323.15 K, respectively, at atmospheric pressure by using a Rudolph research analytical density meter (DDM 2911). The density data for the (piperazine + water) mixture were taken from the literature in the temperature range of 298.15 to 328.15 K. E temperature dependency of the apparent molar volumes was used to estimate the apparent molar expansibility, Hepler’s constant (z2V0φ/zT2)P, and isobaric thermal expansion coefficients αP For the 3 investigated systems, the apparent molar volume (Vφ) and the limiting apparent molar volume (V0φ) at infinite dilution were calculated using the Redlich–Mayer equation. e limiting apparent molar volumes (V0φ) were used to study the influence of the solute-solvent and solute-solute interactions. e temperature dependency of the apparent molar volumes was used to estimate the apparent molar expansibility, Hepler’s constant (z2V0φ/zT2)P, and isobaric thermal expansion coefficients αP

Introduction

CAS number

Vials Waste container

Apparent molar volume

Conclusion