Two – Scale – Factor Universality of Binary Liquid Critical Mixture
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Date
2015-04-21
Authors
Ata, Balsam Nader
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Abstract
The dynamic shear viscosity of a binary liquid mixture phenol – water has been measured at different temperatures and concentrations. The critical temperature Tc and critical concentration xC_are found to be 67.0℃ and 33.90% by weight of phenol respectively, the critical density ρc is measured to be 0.8952 gm/cm3.The critical and background amplitudes of specific heat at constant pressure are calculated to be 78.117 J/kg.K and 85.292 J/kg.K respectively. The pressure derivative of the critical temperature along the critical line Tc′ is calculated to be 9.722 ×10-6 K/Pa. The dynamic shear viscosity of binary liquid mixture phenol – cyclohexane has been measured at different temperatures and concentrations. The critical temperature Tc and critical concentration xC are found to be 17.0℃ and 2.70% by weight of phenol respectively. The critical density ρc is measured to be 0.7627 gm/cm3. The critical and background amplitudes of isobaric thermal expansion coefficient αpc and αpbare calculated to be 4×10-6 K-1, 6×10-4 K-1 respectively. The pressure derivative of the critical temperature Tc′for the binary is calculated to be 1.083 ×10-8 K/Pa. The universal quantity R+ξ of both binary liquid critical mixtures phenol – water and phenol – cyclohexane are calculated to be 0.2716 and 0.2699 respectively. The values are in a good agreement with the theoretical value of R+ζ.The two binary liquid critical mixtures belong to the class of universality "Two – Scale – Factor Universality".