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Two–Scale–Factor Universality of Binary Liquid Critical Mixture

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Sun, 2015-08-23 12:33 — Prof. Issam Rashid Ashqer
Type: 
Thesis
Year: 
2015
Students: 
Balsam Nader Ata
AttachmentSize
Two-Scale-_Factor_Universality_of_Binary_liquid_Mixtures.pdf416.4 KB
Abstract: 
The dynamic shear viscosity of a binary liquid mixture phenol – water has been measured at different temperatures (50.0℃≤T≤75.0℃) and different concentrations (0.00% up to 100.00% by weight of phenol). The critical temperature Tc and critical concentration x_c are found to be 67.0 ±0.1℃ and 33.90% by weight of phenol respectively, the critical mass density ρc is measured to be 0.8952 ± 0.0001 g/cm3. The critical and background amplitudes of specific heat at constant pressure are calculated to be 78.12 J/kg.K and 85.29 J/kg.K respectively. The pressure derivative of the critical temperature along the critical line T_c^' is calculated to be 9.722 ×10-6 K/Pa.  In addition, dynamic shear viscosity of binary liquid mixture phenol – cyclohexane has been measured at different temperatures (14.0℃≤T≤30.0℃) and different concentrations (2.00% up to 39.70% by weight of phenol). The critical temperature Tc and critical concentration x_c are found to be 17.0℃ and 2.70% by weight of phenol respectively, the critical mass density ρc is measured to be 0.7627 g/cm3. The critical and background amplitudes of isobaric thermal expansion coefficient αpc and αpb are calculated to be 8×10-6 K-1, 6×10-4 K-1 respectively. The pressure derivative of the critical temperature T_c^' for the binary is calculated to be 2.8572 × 10-8 K/Pa.  The universal quantity R+ξ for the binary liquid critical mixture phenol – water is calculated to be 0.2716 ± 0.0005. In addition, the universal quantity R+ξ for the binary liquid critical mixture phenol – cyclohexane is calculated to be 0.2699 ± 0.0001 The calculated values of the universal quantity R+ξ are in a good agreement with the theoretical value of R+ζ which is equal 0.2710. The two binary liquid critical mixture belong to the class of universality "Two – Scale – Factor Universality".