4 mol HO (1) 25C In the flow diagram on the right, 4 mol of pure water 25C and 100 mol of dry air (79 1 atm mol % N, 21 mol % O) at 25C and 1 atm are placed 1 atm in an electric evaporator. Humid air (n) and some liquid water (n) at 100C and 2 atm are removed from the evaporator. Some of the N and O dissolves in the water. Based on this information, answer the following: Q (kJ) W (kJ) 100 mol dry air 0.79 mol N, (g)/mol 0.21 mol O (g)/mol n, mol humid air y, mol N, (g)/mol Evaporatory, mol O (g)/mol 1-y,-y HO (v)/mol 100C 2 atm n, mol liquid x, mol N (1)/mol x mol O (1)/mol 1-x,-x, mol HO (1)/mol 100C 2 atm a) (6 pts) Perform degree-of-freedom analysis required to solve for all unknowns. Justify each number in the analysis (e.g. specify the unknowns, identify but do not write out the equations). b) (12 pts) Write all independent equations and material balances that could be used to solve for the unknowns. Do not write the energy balance. Specify what each equation represents (e.g. total mole balance). If you use Raoult's law or Henry's law, provide a term representing the vapor pressure (e.g. p*H20(50C)) or Henry's law constant (Ho2(50C)). Do not perform any calculations. c) (6 pts) When determining the vapor pressure of water at 50C, what is the percent error if you use the Antoine equation instead of Table B.3? Percent error can be calculated as Ip* Antoine - P*table/P*table x 100%. d) (6 pts) Simplify the general energy balance assuming that the evaporator is a fixed- volume, insulated container. Justify which terms should be crossed off and which should be maintained. e) (6 pts + 2 pts EC) Using the enthalpy tables in the back of the book, what are the specific internal energy values for (i) the liquid water entering the process (in kJ/kg) and (ii) the dry air exiting the process (in kJ/mol)? Assume that the dry air behaves as an ideal gas and ignore the contribution of pressure. Which table(s) did you use, and what is the reference state for each table?