Abscissa's partner It helps pinpoint a point Recent usage in crossword puzzles: Brendan Emmett Quigley - Sept. Referring crossword puzzle answers ORDINATE Likely related crossword puzzle clues Appoint. Though the equivolatility diagram is quite sensitive to the thermodynamic model chosen, the choice of which is a better entrainer is not. Abscissa's counterpart is a crossword puzzle clue that we have spotted 2 times. Additional information, consistent with the results obtained by plotting the pseudo-equilibrium data, can be obtained form the equivolatility diagram: (1) for both entrainers, will be the distillate product of the extractive column, since the isovolatility curve intersects the - edge (2) higher relative volatilities are obtained with, indicating that it is a better entrainer than and (3) the abscissa of the magenta (green) dot ( and for and, respectively) corresponds to the minimum amount of ( ) needed to break the azeotrope. The position of the green and magenta dots on the - edge of the triangular diagram indicates that less is required to break the azeotrope. This optimal entrainer is confirmed by looking at equivolatility diagrams. By varying the amount of entrainer, it is clear that the cyan dot disappears first, which indicates that is the preferred entrainer (i.e., lower entrainer to azeotropic feed molar flow ratio, and lower energy consumption in the entrainer recovery column), resulting in a more economical separation. Remark The theorem still holds when P 1 P n1 a n converges, one needs to substitute A. Then the abscissa of convergence is given by 0 limsup N1 logjA(N)j N where A(N) is the sum of the coe cients. As the amount of entrainer is increased, the location of the intersection of the pseudo-equilibrium plot with the 45° line (represented by a cyan ( ) or orange ( ) dot) (see snapshot 3) moves to higher mole fractions of, and then eventually disappears. Abscissa of convergence Formula Abscissa Theorem (Formula Abscissa) Let P 1 n1 a ne ns be a Dirichlet series such that P 1 n1 a n diverges. In this plot, the blue and red curves are the pseudo-equilibrium plots for with the addition of and, respectively. The pseudo-equilibrium curve represents the mole fraction of on a entrainer-free basis in the vapor phase ( ) versus its liquid phase counterpart ( ). gas volume as abscissa for a complete engine cycle of the preferred embodiment. The nonideal thermodynamic properties of the ternary system are accounted for using a Wilson model (parameter values are taken from the Aspen thermodynamic database). The preferred embodiment of the invention utilizes twin counterpart. In this Demonstration, we evaluate two entrainers: dimethyl sulfoxide ( ) and ethylene glycol ( ).
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