Study on volumetric and acoustic properties of binary mixtures of p-Cymene with fluorobenzene, chlorobenzene and bromobenzene at various temperatures

Abstract

Volumetric and acoustic properties of p-cymene with fluorobenzene, chlorobenzene and bromobenzene have been investigated using density, (<i>ρ</i>), and speed of sound, (<i>U</i>) measurements over the entire composition range at T= (303.15, 308.15 and 313.15) K. From the experimentally measured density, (<i>ρ</i>); Excess molar volumes, (<i>V</i><img src='http://nopr.niscair.res.in/jinfo/em1.gif' border=0>), infinite dilution partial molar volume, (<i><img src='http://nopr.niscair.res.in/jinfo/vbar.gif' border=0><img src='http://www.niscair.res.in/jinfo/subscript8.gif' border=0>, i</i>) excess partial molar volume, (<img src='http://nopr.niscair.res.in/jinfo/vbar.gif' border=0><img src='http://www.niscair.res.in/jinfo/subscript8.gif' border=0>,<img src='http://nopr.niscair.res.in/jinfo/ei.gif' border=0>) apparent molar volume, (<i>V,_{m,ϕ, 1}</i>), infinite dilution apparent molar volume, (<i>V</i>, <img src='http://www.niscair.res.in/jinfo/subscript8.gif' border=0>, _{ϕ, 1}) with empirical parameters, <i>S_v</i>, <i>B_v</i> and limiting apparent molar expansibility, (<i>E</i><img src='http://nopr.niscair.res.in/jinfo/zerophi.gif' border=0>) have been calculated. Deviation in speed of sound (<img src='http://www.niscair.res.in/jinfo/delta.gif' border=0><i>U</i>), deviation in isentropic compressibility, (<img src='http://www.niscair.res.in/jinfo/delta.gif' border=0>k_s), deviation in acoustic impedance, (<img src='http://www.niscair.res.in/jinfo/delta.gif' border=0><i>z</i>), infinite dilution partial molar isentropic compressibility, (<img src='http://nopr.niscair.res.in/jinfo/kbar.gif' border=0><img src='http://www.niscair.res.in/jinfo/equation144.gif' border=0>,_{m, i}), excess partial molar isentropic compressibility, (<img src='http://nopr.niscair.res.in/jinfo/kbar.gif' border=0><img src='http://www.niscair.res.in/jinfo/equation144.gif' border=0><img src='http://nopr.niscair.res.in/jinfo/em1.gif' border=0>,_i), apparent molar isentropic compressibility, (<i>K_s,m,ϕ,i</i>), infinite dilution apparent molar isentropic compressibility, (<i>K<img src='http://www.niscair.res.in/jinfo/equation144.gif' border=0>_m,ϕ,1</i>) with empirical parameters <i>S_k</i> and <i>B_k</i> and intermolecular free length (L_<i>f</i>) have been calculated using experimentally measured speed of sound, (<i>U</i>). To derive fitting coefficients, (<i>Ai</i>) with standard deviation, (σ), excess properties were fitted to the Redlich-Kister type polynomial equation. Various theoretical speed of sound and average deviations have been calculated using well established equation like Nomoto, (<i>U_nmt</i>) Ideal Mixing Rule, (<i>U_imr</i>) Junji, (<i>U_junji</i>) and Jacobson’s Free Length Theory, (<i>U_flt</i>). The variation of these properties with composition and temperature has been discussed in terms of molecular interaction on mixing and their interacting abilities have also been compared.