Question #1 (Chemical Reaction equilibrium)(Multiple reaction) (100 marks) The feed gas to a methanol synthesis reactor is composed of 75 mol % H2, 15 mol % CO, 5 mol% CO; and 5 mol% N₂(Inert). The system comes to equilibrium at 550 K and 100 bar with respect to the reactions (gas phase). Take basis of 1 mole or reactant mixture. (1) 2Hz + CO→ CH; OH (2) H2 + COI > CO + HỌ extent of reaction & extent of reaction (a) Express the mole fraction of all the species in terms of and {? (20 marks) (b) Find out the equilibrium constants K₁ and K₂ for the reactions? (50 marks) (c) Assuming ideal gas determine the composition of the equilibrium mixture? (30 Marks) T₁ = 298.15 K Data: Heat capacities of gases in the ideal gas state A+BT+ CT2+ DT-2) Species A B C D Hz 3.249 0.422x10 0 0.083x10 CO 3.376 0.557x10 0 -0.031 x10 CH₂OH 2.211 12.216x10 -3.45 x10 CO 5.457 1.045 x103 0 0 -1.157 x105 H₂O 3.47 1.45x10 ° 0.121x10 N₂ 3.28 0.593x10 0 0.04 x105 Standard enthalpy and Gibbs energy of formation (J/mol) Species AH 129 AG°12 H₂ 0 0 CO -110525 -137169 CH₂OH -200660 -161960 CO₂ -393509 -394359 H₂O -241818 -228572 N₂. ° 0