14.21. For the methanol synthesis reaction, CO(g) + 2H2(g) CH3OH(g) the equilibrium conversion to methanol is large at 300 K, but it decreases rapidly with increasing T. However, reaction rates become appreciable only at higher tem- peratures. For a feed mixture of carbon monoxide and hydrogen in the stoichiometric proportions, (a) What is the equilibrium mole fraction of methanol at 1 bar and 300 K? (b) At what temperature does the equilibrium mole fraction of methanol equal 0.50 for a pressure of 1 bar? (c) At what temperature does the equilibrium mole fraction of methanol equal 0.50 for a pressure of 100 bar, assuming the equilibrium mixture is an ideal gas? (d) At what temperature does the equilibrium mole fraction of methanol equal 0.50 for a pressure of 100 bar, assuming the equilibrium mixture is an ideal solution of gases?