The route is the quaternisation of triphenylphosphine (PPh3) with methyl bromide, Ph3P + CH3Br -> [Ph3PCH3]Br, with no co-product (Wikipedia, which cites Wittig and Schoellkopf, Org. Synth. 40, 66 (1960): that procedure could not be read). US 3 334 144 A (read) states in its background that the salt is made by heating the phosphine with methyl bromide, usually in benzene, in a pressure vessel, at 50 C or above for a reasonable rate. Here toluene replaces benzene (ASSUMED): PPh3 at 20 wt% is dissolved in recovered toluene in the glass-lined pressure vessel R-101 and heated to 333 K, and liquefied methyl bromide is pumped into the closed, nitrogen-padded vessel over 3 h, 1.05 mol per mol PPh3 with the recycled excess. The salt separates from toluene (as from benzene in US 3 334 144 A, Example 1). After a post-reaction to 0.99 conversion of the PPh3 the slurry is cooled to 313 K, R-101 is depressurised and swept with nitrogen to the site's thermal oxidiser (90 % of the excess methyl bromide, with F-101's pressing gas, ASSUMED), and the salt is filtered, reslurry-washed with recovered toluene and vacuum-dried at 333 K in the agitated filter-dryer F-101. The mother liquor, the wash filtrate and the dryer's condensate are distilled in the batch still C-101: 98.5 % of the liquor's mass comes over as toluene with the remaining methyl bromide and is reused for the next charge and the wash; the residue (the unconverted PPh3, the dissolved salt and fines in toluene) goes to incineration.
The modelled yield is 98.5 % on PPh3 and the product 99.87 wt% salt (0.1 wt% toluene). Both are ASSUMED upper bounds: they follow from the ASSUMED 0.99 conversion and solubility, no open source of this route gives a yield, and triphenylphosphine oxide, water and other impurities are not modelled.
The batch is modelled with cheme-as-code 1.10.0: R101 is a semi-batch (reactor: semibatch) with the liquid methyl bromide as the dose; the precipitation CR101 and the reslurry wash W101 are crystallizers with the dissolved PPh3 and methyl bromide as spectators (core ADR 0056); the filter-dryer is one recipe vessel over four steps with Ruth filtration times and core's dryer to a residual moisture (core ADR 0057); the toluene recovery is core's batch still on Raoult's law (core ADR 0055). The recovered toluene's recycle is converged by propagate at the tear S11 (core ADR 0060), and the semi-batch, the crystallizer and the still write their duties (core ADR 0059), the still's with the charge's heat-up and C-101's metal and the crystallizer's with R-101's metal (core ADR 0063). The recipe gives the cycle (10.20 h, the filter-dryer the bottleneck, 776.6 batches a year), R-101's heating and cooling times with its metal, sizes R-101, F-101 and the still C-101 (6.3 m3 each) and checks R-101's jacket against the cooling water's log-mean temperature. Kinetics and the heat of reaction are ASSUMED (no open data): 14.7 % of the methyl bromide accumulates, the cooling-failure temperature reaches 339.1 K, and the MTT of the closed vessel (the temperature at which it reaches its relief set pressure, 415.3 K) is far above it; at k/100 the MTSR is 371.9 K, still below its MTT of 401.3 K. Without a TD24 core's criticality gives class 1, 2 or 5. See DESIGN.md for every assumption.