To generate the starting material for a polymer that is used to make water bottles, hydrogen is removed from the ethane in natural gas to produce ethene in the catalyzed reaction C₂H₆(g) → H₂(g) + C₂H₄(g). Use the information in Appendix 2A to calculate the equilibrium constant for the reaction at 298 K. 

(a) If the reaction is begun by adding the catalyst to a flask containing C₂H₆ at 40.0 bar, what will be the partial pressure of the C₂H₄ at equilibrium?

(b) Identify three steps the manufacturer can take to increase the yield of product.

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2A THERMODYNAMIC DATA AT 25 C Inorganic Substances Substance Aluminum Al(s) Al+ (aq) AI(OH)3(S) AlO3(s) AlCl3(s) AlBr,(s) Antimony Sb(s) SbH3(g) SbCl3(g) SbCls (g) Arsenic As(s), gray AsO (aq) A$2S3(S) Barium Ba(s) Ba+ (aq) BaO(s) BaCO3(s) BaCO3(aq) Molar mass, M/(g.mol-) 26.98 26.98 78.00 101.96 133.33 266.68 121.76 124.78 228.11 299.01 74.92 138.92 246.05 137.33 137.33 153.33 197.34 197.34 Enthalpy of formation, AH/(kJ-mol-) 0 -524.7 -1276 -1675.7 -704.2 -527.2 0 +145.11 -313.8 -394.34 0 -888.14 - 169.0 0 -537.64 -553.5 -1216.3 -1214.78 Gibbs free energy of formation, AG/(kJ.mol-) 0 -481.2 -1582.35 -628.8 0 +147.75 -301.2 -334.29 0 -648.41 -168.6 0 -560.77 -525.1 -1137.6 -1088.59 Molar heat capacity, Cr.m/(J.K-mol) 24.35 79.04 91.84 100.6 25.23 41.05 76.69 121.13 24.64 116.3 28.07 47.78 85.35 Molar entropy, Sm/(J-K-mol-) 28.33 -321.7 50.92 110.67 180.2 45.69 232.78 337.80 401.94 35.1 -162.8 163.6 62.8 +9.6 70.42 112.1 -47.3