Q1. (8 Points) Indicate whether each of the following statements is true or false and provide suitable explanations and justifications for each of your answers.
a) True. The Gibbs-Duhem relationship at constant T and P states that the sum of the products of the mole fraction of each component and its differential chemical potential is zero.
b) False. The correct expression for the entropy of mixing for an ideal solution is SE = -RΣ(xi ln xi), where xi is the mole fraction of component i.
c) False. The modified Raoult's expression assumes that the interactions between molecules in the gas phase and between molecules in the liquid phase are not zero.
d) False. The "partial molar mass" of a species in solution is not necessarily equal to its molar mass. It is the change in the total molar mass of a solution when one mole of the component is added while keeping the total pressure and temperature constant.