Note: You choose parameters for L in order to plot Gm.

Question: Suppose that the Gibbs energy for a binary solution is the sum of the ideal solution contribution, the mixing quantities and the excess quantity: Gm = xA OGA + xp GB + RT(X^lnxA + Xplnxp) + LxAXB [45/100'] (a) Plot Gm for different values of L, some positive and some negative. (Hint: in total you have 9 cases, you should use some software to plot these diagrams, such as MatLab, maple, even excel, at least, you can assign some values to each parameter helping the plot) [35/100'] (b) What is the equilibrium state (=the state that minimizes the Gibbs energy) of the solution if xa Xp and L is positive? [20/100'] (c) Derive expressions for the chemical potentials for the case when L is constant and when L is a linear function of Xb, for example L a(XA Xb). Note: is a constant. = = Question: Suppose that the Gibbs energy for a binary solution is the sum of the ideal solution contribution, the mixing quantities and the excess quantity: Gm = xA OGA + xp GB + RT(X^lnxA + Xplnxp) + LxAXB [45/100'] (a) Plot Gm for different values of L, some positive and some negative. (Hint: in total you have 9 cases, you should use some software to plot these diagrams, such as MatLab, maple, even excel, at least, you can assign some values to each parameter helping the plot) [35/100'] (b) What is the equilibrium state (=the state that minimizes the Gibbs energy) of the solution if xa Xp and L is positive? [20/100'] (c) Derive expressions for the chemical potentials for the case when L is constant and when L is a linear function of Xb, for example L a(XA Xb). Note: is a constant. = =