Final answer:
The student is asked to plot excess Gibbs free energy (∆g) normalized by RT against the mole fraction of component 1 (x1) in a binary mixture, which reveals the mixture's deviation from ideal behavior.
Step-by-step explanation:
The question asks for the plot of the excess Gibbs free energy (∆g) relative to RT versus the mole fraction of component 1 (x1) for a binary liquid mixture at constant temperature and pressure. The given excess Gibbs free energy function is T = (−2.6 x1 − 1.8x2)x1x2, where x1 and x2 are the mole fractions of the two components in the mixture. Plotting ∆g/RT vs x1 requires varying x1 from 0 to 1 and calculating the corresponding ∆g/RT values. The excess Gibbs free energy provides information on how the mixture deviates from ideal behavior and is an important aspect in understanding the physical chemistry and thermodynamics of mixtures.