Compressibility of a mixture of CH4 [plus] CO2 and correlation of compressibility factors

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The work presented in this thesis consists of two parts: experimental and correlation. In the experimental part, the pressure-vo1ume - temperature data .for pure methane, and for one composition of methane-carbon dioxide, were collected in the temperature range of 323.713 to 398.993K using a Burnett apparatus. An isothermal procedure was used in the case of methane, and an isothermal-isochoric procedure was used in the case of the mixture. The data have been reduced to obtain virial coefficients and compressibility factors. The results are in good agreement with the literature data. The data collected together with literature data have been correlated in part 2 and generalized compressibility charts have been constructed. To construct these charts, compressibility factors of non-polar and polar substances have been correlated as a function of reduced temperature, reduced pressure, and a third parameter. The third parameter chosen is molar polarization defined at the critical temperature as: PMC = RM + 4[pi]N[mu]^2/9KTC. Using this parameter, compressibility factors of non-polar substances could be written as ZN = Z0 + RM Z^1 where Z^ and Z1 are functions of reduced temperature, and reduced pressure. The compressibility factors for polar substances were treated as departures from non-polar substances and written as Zp - ZN = Z^2 + [phi]Z^3. The values of Z^0, Z^1, Z^2 and Z^3 were generated from the literature experimental compressibility data. The experimental compressibility factors for thirty-one non-polar substances, including the six substances used to derive this correlation, have been compared with the new correlation. The overall percent absolute deviation for 6127 data points for non-polar substances, in the range of reduced temperature of 0.5 - 5.0 and reduced pressure in the range of 0.02 - 10 is 2.50 percent. In the case of polar substances ten polar substances, including the six substances used to obtain Z^2 and Z^3 values, were used for a comparison of experimental compressibility factors with the correlation. The overall percent absolute deviation for 804 data points for polar substances is 1.54 percent, in the reduced temperature range of 0.5 - 1.5 and reduced pressure range of 0.02 - 5.0. Extensive comparison have been made of the present method of predicting compressibility data with other methods.

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Ph. D.

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