Anhydrous dimethylamine and a sodium methoxide solution in methanol are mixed with the recovered methanol/DMA recycle and fed to a liquid-phase loop reactor that takes up CO (90 C, 22 bar; conversion 98.5 % of the DMA per pass and 95 % of the CO to DMF, as in the open patent US 4,098,820). At the end of the reaction the catalyst is converted under CO to insoluble sodium formate and dimethyl ether (the mechanism of US 4,354,041); the vent takes the excess CO, inerts and the ether to a thermal oxidiser. The salt is filtered, methanol and DMA are distilled off and recycled with a small purge, and DMF is distilled overhead under vacuum away from a heavy residue.
All values are concept estimates. The reactor rests on sourced conversions (no kinetics); the separator and column splits and the duties are short-cut values from an independent script, because no property package of ChemE-as-Code covers DMF, methanol, DMA and sodium salts yet. See DESIGN.md for every assumption and gated step.