A process for methanol synthesis is shown in Figure P12.25. The pertinent chemical reactions involved are CH4+2H2OCO2+4H2CH4+H2OCO+3H22CO+O22CO2CO2+3H2CH3OH+H2O(mainreformerreaction)(reformersidereaction)(COconverterreaction)(methanolsynthesisreaction) (a) (b) (c) (d) Ten percent excess steam, based on reaction (a), is fed to the reformer, and conversion of methane is 100%, with a 90% yield of CO2. Conversion in the methanol reactor is 55% on one pass through the reactor. A stoichiometric quantity of oxygen is fed to the CO converter, and the CO is completely converted to CO2. Additional makeup CO2 is then introduced to establish a 3-to-1 ratio of H2 to CO2 in the feed stream to the methanol reactor. ChE 402 Plant Design gure P12.25 The methanol reactor effluent is cooled to condense all the methanol and water, with the noncondensible gases recycled to the methanol reactor feed. The H2/CO2 ratio in the recycle stream is also 3 -to- 1 . Because the methane feed contains 1% nitrogen as an impurity, a portion of the recycle stream must be purged as shown in Figure P12.25 to prevent the accumulation of nitrogen in the system. The purge stream analyzes 5% nitrogen. On the basis of 100mol of methane feed (including the N2 ), calculate: (a) How many moles of H2 are lost in the purge (b) How many moles of makeup CO2 are required (c) The recycle to purge ratio in mol/mol