Captured CO2 with nitrogen is to be used as a carbon source for the production of methanol (as in the figure). The reaction over Co catalysts is as follows:

The feed to the system is in stoichiometric proportions containing 0.5% nitrogen. The reactor operates with syngas in stoichiometric proportions at 25 atm. It can handle up to 3 moles of nitrogen per 100 mol of syngas (CO213H2). A conversion of 20% per pass is expected. Assuming that 90% of the methanol and all the water produced are recovered, determine the operating temperature at the reactor and the purge fraction. Fig. P5.24 shows the synthesis loop.

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-7.492 In(T(K))4.076 10-7(K)-7.161 x10*.T(K) - CO2(g) + 3H2(g) + CH3OH(g) + H2O(g) 22.225+ [PCHOH] [PHO] [PCO] [PH2] 9143.6 T(K)