a. The Frenchman depicted to the right was a physicist,philosopher, and historian of science. He was the first respected scientist to argue that all of the branches of science could be understood in terms of the fundamental principles of Thermodynamics. His biggest contribution to our class, to date, has been a method to model thePproperties of liquid mixtures based on the Partial Properties of the constituent species. Although he was skeptical of the existence of atoms, he made many significant contributions that have stood the test of time. He is remembered alongside Gibbs as a founder of the Science ofThermodynamics. His name (first and last) was

b. Please consider a glass of water (T = 298 °K) that was set on a bench top long enough for the water to reach VLE (Vapor/Liquid Equilibrium) with the constituents of the air. Please use Henry's Law to determine the equilibrium-concentration of Nitrogen (expressed a mole fraction) in the water at P = 1bar. You may assume that air is 80 a/o N2. Henry's Law constant for the two major constituents of air are given below: \mathscr{H}\left(N_{2}\right)=87,650 \text { bar } \mathfrak{H}\left(O_{2}\right)=44,380 \text { bar } c. Please use Summability to show that, h, the Molar Enthalpy of the mixture can be modeled as function of the Partial Molar Enthalpy with respect to Species 1 and species d. Please show that the Molar Enthalpy, h, is a function of Molar Enthalpy of each-species at the P and T of the system. Please be certain to state any assumption(s)or theorems that were used. e. Please determine the heat duty in (kJ/mole of mixture) when 3 mole of Species 1was isothermally mixed with 2 mole of Species 2 at 300 °K.