Consider an methanol(1)/hexane(2) system. a. Calculate (show your work) the saturation pressure [mmHg] of hexane at 72.03635°C b. Calculate T [°C] and y, when P=651.792 mmHg and x=0.25 c. Calculate T [°C] and x1 when P=805.508 mmHg and y=0.450

Question 1. Derive an expression for the vapor density at the boiling point as a function of temperature. Assume that the ideal gas law is valid. The vapor density of water at 25°C is 23.4 g/m³. Calculate the vapor pressure and vapor density at 50°C.

Consider the situation where a binary liquid mixture (assume ideal solution) is slowly cooled at constant pressure until it begins to solidify. At the phase equilibrium between the solution and crystal, the chemical potentials of the solvent in each phase must be equal: u** (T,P)= µ"(T,P)+ k;Tlnx ... Equation (1) X, L denotes the crystal and liquid phase, respectively. Since Au = µ*L **: | Aµ = -kgTlnx ... Equation (2) Can you apply Equation (2) at non-phase change temperatures? Why?

Answer only letter a

6) Calculate the absolute entropy for 1 mole of Ar gas (monatomic) with 22.4 liter volume at 273 K using Boltzmann's formula. What is the change in entropy if the temperature doubles while V is constant? What is the change in entropy if the volume doubles while T is constant? What is the change in entropy if both T and V double? (Note: To evaluate In(N!) use Stirling's asymptotic formula In(N!) ~ N In N – N ) S-k log W LVDWIG BOLTZMANN 18W-1906 DE FHILPAULA BOLTZMANN GER CAR

Solve the following questions related to fugacity of a liquid. Assume that liquid is incompressible and thus the = 1 molar volume of the liquid is constant. (You may assume that Psat is low enough that sat for all parts of this problem. You will also need to look up or calculate the molar volume of water.) You are given a container partially filled with water at 25°C. You then proceed to pump all of the air out of the container, leaving a pool of water at the bottom, and a vacuum (P=0) at the top (see first panel in figure below). You then turn off the pump and seal the container. You wait a short while and the water in the bottom starts to evaporate (see second panel) until it achieves phase equilibrium (see third panel). Assuming no change in temperature and no significant change in volume of the water, what is the pressure in the box? (Hint: you must balance fugacity between the liquid and vapor phases. You may also assume the vapor phase is an ideal gas, and the liquid is an ideal…

can u please re-do with these constants thanks