Question 1 (20 Marks) a) A gas stream contains 25 mole% n-hexane (C6H14) and the remainder nitrogen (N2). The stream flows through a pipe at a rate of 100.0 m/h. The pressure is 2.00 atm absolute and the temperature is 100C. Molecular weight of CH14 and N2 is 86.17 and 28.02, respectively i) Calculate the mass flow rate of the gas stream? (4 marks) ii) Calculate the temperature (C) required to be cooled at constant pressure in order to begin condensing hexane? Justify your answer. (5 marks) iii) Calculate the temperature (C) required to be cooled at constant pressure in order to condense 80% of the hexane? (4 marks) Data: R = 8.314 m.Pa/(mol.k) = 0.08314 L.bar/(mol.K) = 0.08206 L.atm/(mol.K); Antoine Equation Constants for n-Hexane (100C): A = 6.88555; B = 1175.817; C = 224.867; 1 m = 1000 L = 35.3145 ft = 264.17 gal; 1 atm = 760 mm Hg = 14.696 Ibr=in? (psi) = 1.01325 bar = = 1 b) Determine the degrees of freedom for each of the following systems at equilibrium using Gibbs phase rule: i) Pure hydrochloric acid ii) A vapor-liquid mixture of acetylene, ethyl benzene and xylene iii) Sodium sulfate (Na2SO4) crystals suspended in an aqueous sulfuric acid (H2SO4) solution iv) A gaseous mixture of ethane, propane and octane. (Each question carries 1mark) c) Refer to the Rault's law and state THREE conditions related to gas-liquid systems for single component systems