1. (32 pts total) Below is a fully labeled flowchart of a multi-unit operation in which hydrogen and nitrogen are reacted to form ammonia. An undesired side reaction also occurs between hydrogen and some oxygen present in the feed gas to form water. The effluent from the reactor is passed through a condenser that removes all of the ammonia and water in a liquid stream. Some of the exiting gas stream is purged and the rest is combined with the fresh feed. The feed to the reactor contains 20% of the fresh feed. The overall conversion of hydrogen in the process is 90%. The fresh feed flows at 20mol/s and contains equimolar amounts of hydrogen and nitrogen along with 4 mol\% of oxygen. a) (3 pts) Name the systems around which you could perform degrees-of-freedom analysis. b) ( 8 pts) Perform a degrees-of-freedom analysis on the split point and the overall system. Use the molecular-species approach or the extent-of-reaction approach as appropriate. Provide a brief justification for each line. c) (13 pts) Write all independent extent-of-reaction balances and equations around the reactor. Specify what each equation represents (e.g. EOR balance on X). Do not perform any calculations! d) (4 pts) For the reactor, write (i) an expression for the yield of ammonia and (ii) an expression for the selectivity of ammonia to water. For the yield, treat hydrogen as the limiting reactant. e) (4 pts) Briefly describe fvo ways in which the process could be modified to eliminate or reduce the purge stream