Sound Velocities in Aqueous Solutions of n-Butylamine between 303.15 and 323.15 K: Experiment and Theory

Muhammad A. R. Khan, Mohammed Sohel, Faisal I Chowdhury, Shamim Akhtar
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Abstract

Density (ρ) and sound velocity (u) have been measured for aqueous solutions of n-butylamine ( W + NBA) in the whole range of composition at an interval of 5 K. Deviation in Sound Velocity (∆u), Isentropic Compressibility (Ks), Excess Isentropic Compressibility (KsE), Specific Acoustic Impedance (Z), Rao's Constant (R) and Wada's Constant (W) have been calculated from measured u and ρ. ∆u versus x2 curve is negative and with the increment of temperature, ∆u decreases; Ks values of W + NBA are all positive whereas KsE values are all negative. All the above outcomes are interpreted in terms of molecular interaction especially hydrogen bonding and hydrophobic hydration between water and n-butylamine. Moreover, experimental data for u correlated with some theoretical equations. The relations are Nomoto’s Relation (uN), Impedance Relation (uIR), the Rao’s specific velocity method relation (uR), Van Deel’s ideal mixing relation (uIMR) and theoretical sound velocity according to Free Length Theory (uFLT). The validity of these relations with experimental values has been tested by measuring standard percentage deviation () and average percentage error (APE).
303.15 ~ 323.15 K范围内正丁胺水溶液中的声速:实验与理论
测定了正丁胺(W + NBA)水溶液在整个组成范围内的密度(ρ)和声速(u),测量间隔为5k。由测量的u和ρ计算出声速偏差(∆u)、等熵压缩性(Ks)、超等熵压缩性(KsE)、比声阻抗(Z)、Rao常数(R)和Wada常数(W)。∆u对x2曲线为负,且随着温度的升高,∆u减小;W + NBA的Ks值均为正,KsE值均为负。所有这些结果都可以用分子相互作用来解释,特别是水与正丁胺之间的氢键和疏水水合作用。此外,u的实验数据与一些理论方程具有相关性。这些关系分别是Nomoto关系(uN)、阻抗关系(uIR)、Rao比速法关系(uR)、Van Deel理想混合关系(uIMR)和根据自由长度理论(uFLT)建立的理论声速。通过测量标准百分比偏差()和平均百分比误差(APE)来检验这些关系与实验值的有效性。
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