Pressure, liquid-phase composition, and liquid-phase molar volume data are presented for the binary vapor-liquid systems C02-/rans-decalln at 0, 25, 50, and 75 °C and C02-n-butylbenzene at 0 and 20 °C. Also, pressure, liquidphase compositions, and molar volumes of the two coexisting liquid phases as a function of temperature are presented for the same binary systems along their Li-L2-V loci. The termination points of these loci are located and characterized.The authors have been engaged in studying the phase equilibria behavior of C02-hydrocarbon systems, with a view to providing data which would be useful for the design of economically attractive separation processes using C02 as a selective solvent. To date, the phase equilibria behavior of binary and ternary C02-hydrocarbon mixtures along liquid-vapor, solid-liquid-vapor, and liquid-liquid-vapor surfaces has been studied by Huie et al. (3), C02-n-decane-n-eicosane; Kulkarni et al. (5), C02-n-decane-2-methylnaphthalene; Zarah et al. ( 8), C02-n-butyibenzene-n-eicosane; and Yang et al. ( 7), C02n-butylbenzene-2-methylnaphthalene. These studies focused on systems high in the concentration of the heavier hydrocarbon
Reciprocal variational principles are applied to the thermal conductivity of a two phase, heterogeneous material. Rigorous upper and lower bounds on the thermal conductivity of a bed of randomly placed, freely overlapping spheres of one or more sizes are derived. When compared with the experimental values of a number of investigators, the bounds provide estimates of the thermal conductivity of freeze dried food, plastic insulating foam, and metal filled polymers.
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