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The Gibbs free energy of a binary liquid mixture at atmospheric pressure and T gt; 260K is given by the following: G ( x , T ) = 2.75 x^ 4 6.6 x^ 3...
The Gibbs free energy of a binary liquid mixture at atmospheric pressure and T > 260K is given by the following:
G(x,T ) = 2.75x^4 −6.6x^3 +0.025Tx^2 −1.16641x^2 −2^x
1) Sketch a qualitative phase diagram in the T-x1 plane.
(2) If the mixture shows any two-phase behavior, give the equation for the spinodal curve and calculate the spinodal composition of component 1 in two phases at 260 K.
(3) Calculate any critical solution temperatures and critical composition of component 1.
(4) Explain why this equation is invalid for a binary liquid mixture and violates the classical thermodynamics.