1972JOURNAL OF CHEMICAL ENGINEERING OF JAPANOpen access

REPRESENTATION OF DEW AND BUBBLE POINT DATA IN BINARY SYSTEMS

Masahiro Kato, Hitoshi Konishi, Mitsuho Hirata, Takashi Katayama

Open full text 1 citations

Abstract

Using new parameters in place of X or Y in the X vs. V relations proposed by Hirata and Clark, dew point line and bubble point line can be expressed in two or three straight lines, closely similar to those of Hirata''s method or Clark''s method. The parameters used in this paper corresponding to Hirata''s X-Y method for dew point and bubble point curves are Method 1 : D1 vs. D2 and B2 vs. B1 Method 2 : D3 vs, Y and X vs. B3 Method 3 : D3 vs. D4 and B4 vs. B3in which X≡x11/x2, Y≡y1/y2, D1≡a1/(1-a1), D2≡a2/(1-a2), D3≡(1-a2)/(1-a1), D4≡a1/a2, B1≡(1-b1)/b1, B2≡(1-b2)b2, B3≡(1-b2)/(1-b1), and B4≡b1/b2. The values of a and b can be calculated by a=(π/P)y from dew point data and by b=(P/π)x from bubble point data, where x, y, P, and π, respectively, express mole fraction in liquid phase, that in vapor phase, vapor pressure, and total pressure. Corresponding to Clark''s X-Y relations, three sets of methods are also proposed for representation of dew point and bubble point curves by using the new parameters mentioned above.

Open-access reader

About this research paper

What this paper is about

Using new parameters in place of X or Y in the X vs. V relations proposed by Hirata and Clark, dew point line and bubble point line can be expressed in two or three straight lines, closely similar to those of Hirata''s method or Clark''s method. The parameters used in this paper corresponding to Hirata''s X-Y method for dew point and bubble point curves are Method 1 : D1 vs. D2 and B2 vs. B1 Method 2 : D3 vs, Y and X vs. B3 Method 3 : D3 vs. D4 and B4 vs. B3in which X≡x11/x2, Y≡y1/y2, D1≡a1/(1-a1), D2≡a2/(1-a2), D3≡(1-a2)/(1-a1), D4≡a1/a2, B1≡(1-b1)/b1, B2≡(1-b2)b2, B3≡(1-b2)/(1-b1), and B4≡b1/b2. The values of a and b can be calculated by a=(π/P)y from dew point data and by b=(P/π)x from bubble point data, where x, y, P, and π, respectively, express mole fraction in liquid phase, that in vapor phase, vapor pressure, and total pressure. Corresponding to Clark''s X-Y relations, three sets of methods are also proposed for representation of dew point and bubble point curves by using the new parameters mentioned above.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Using new parameters in place of X or Y in the X vs. V relations proposed by Hirata and Clark, dew point line and bubble point line can be expressed in two or three straight lines, closely similar to those of Hirata''s method or Clark''s method. The parameters used in this paper corresponding to Hirata''s X-Y method for dew point and bubble point curves are Method 1 : D1 vs. D2 and B2 vs. B1 Method 2 : D3 vs, Y and X vs. B3 Method 3 : D3 vs. D4 and B4 vs. B3in which X≡x11/x2, Y≡y1/y2, D1≡a1/(1-a1), D2≡a2/(1-a2), D3≡(1-a2)/(1-a1), D4≡a1/a2, B1≡(1-b1)/b1, B2≡(1-b2)b2, B3≡(1-b2)/(1-b1), and B4≡b1/b2. The values of a and b can be calculated by a=(π/P)y from dew point data and by b=(P/π)x from bubble point data, where x, y, P, and π, respectively, express mole fraction in liquid phase, that in vapor phase, vapor pressure, and total pressure. Corresponding to Clark''s X-Y relations, three sets of methods are also proposed for representation of dew point and bubble point curves by using the new parameters mentioned above.

Key concepts: Dew point, Bubble point, Bubble, Dew, Thermodynamics, Binary number, Representation (politics), Mole fraction

Related papers

Back to paper searchBrowse research topicsOriginal source
REPRESENTATION OF DEW AND BUBBLE POINT DATA IN BINARY SYSTEMS — Research Paper | ScholarLens