Correlation of High Pressure Density Behaviors for Fluid Mixtures Made of Carbon Dioxide with Ethyl Acetate, 1-Propanol, 2-Propanol, or Methanol at 313.15K

Correlation of High Pressure Density Behaviors for Fluid Mixtures made of Carbon Dioxide with Solvent at 313.15 K

“…(1) and the average standard deviations are shown in Table 1, giving fine results as the standard deviations between 0.4 and 2.2 kg m -3 in density. The average standard deviations are 1.1 and 3.3, respectively, in the present study and the previous study [10] for the composition range from 0.00 to 0.95 of mole fraction of carbon dioxde. The average standard deviation of density in the composition range over 0.80 till 0.95 are 3.1 and 12.7 kg m -3 , respectively, in the present study and the previous study [10].…”

“…The parameters were evaluated by giving selected individual points, not with the optimization. In the next study [10], the previous density equation was simplified to reduce the number of parameters from nine to eight. The eight parameters are obtained by the optimization of the Marquardt method to minimize the sum of the square of the difference between the calculated density and experimental one in the composition range of the mole fraction of carbon dioxide from 0.00 to 0.80.…”

“…The continuing line and dotted one, respectively, show the calculation results by Eq. (1) in the pre- sent study and the calculated ones in the previous study [10]. The molar volume was calculated by the following Eqs.…”

Volumetric Behavior of Carbon Dioxide + Butan-1-ol Mixtures at 313.15 K

“…The volumetric properties and saturated pressures of carbon dioxide + butan-1-ol were newly measured in the present study. The number of parameters in the density equation at the previous studies , was reduced from eight or six to three. An equation for the correlation of high pressure molar volume behavior of fluid mixtures made of carbon dioxide with methanol, ethanol, propan-1-ol, propan-2-ol, methyl acetate, ethyl acetate, 1-methylethyl acetate, or butan-1-ol at 313.15 K was presented in the composition range from 0.00 to 0.95 mol fraction of carbon dioxide.…”

“…In the present study, the previous density equation , was simplified to reduce the number of parameters from eight or six to three, introducing the molar volume equation as follows: V = [ x 1 V 1 0 * + x 2 V 2 0 * − x 1 x 2 A x 1 + B x 2 ] .1em [ 1 − normalln { 1 − 1 − ( P / italicP* ) 1 + normalexp [ C x 2 / false( x 1 + 6 x 2 false) ] } ] where V , x , and P are molar volume, composition of mole fraction, and pressure, respectively. The superscript 0 denotes pure.…”