Thermodynamic Consistency

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Presentation transcript:

Thermodynamic Consistency Avi Vegda (130990105062) Ankit Vashi(130990105061) Parth Patel(120990105001) Guided By Janki Tailor

Thermodynamic Consistency The Gibbs/Duhem Equation imposes a constraint on activity coefficient that may not be satisfied by a set of experimental values derived from P-xy data. The experimental values of ln γ1 and ln γ2 combine by (excess Gibbs free energy) to give values of GE/RT. This addition process is independent of the Gibbs/Duhem Equation.

Nor can a P-xy correlation Calculated by modify Roults low be consistent with experimental values. If the experimental data are inconsistent with the Gibbs/Duhem equation , they are necessarily incorrect as the result of systematic error in the data. Because correlating equations for GE/RT impose consistency on derived activity coefficients, no such correlation exists that can precisely reproduce P-xy data that are inconsistent. Our purpose now is to develop a simple test for the consistency with respect to the Gibbs/Duhem equation of a P-xy data set.

Using slope in curve Gibb’s- duhem eqn

To verify consistancy exit or not plot, graph

Using Mid-Point Data In Van- Laar eqn. put

at

Redlich/ Kister method Diff … w.r.t x1

Now , In between x1=0 to x2=1

at Plot Vs

Using coexistence equation:- Modified Raoult’s law consider vap. Phase is ideal gas Gibbs/Duhem equation

at const T. by Antion eqn.

(5) Using Partial pressure data [ low pressure system] Gibbs/Duhem equation

Thank You…