Based on the following data for the reactors, compressors$/$ expanders, and distillation columns of a plant to produce $1,500$ metric ton$/$day of methanol, with an operating factor of $0\mathrm{.}95,$ estimate by Method $1($order$-$of$-$magnitude estimate$)$ the total capital investment. The two methanol reactors are of the shell and$-$tube type. The plant will be constructed outdoors and is a major addition to existing facilities. Use a CE cost index of $550.$

$\backslash$table$[[$Equipment$,$Size,Material,Pressure $(kPa),$Temperature $($C$)],[$Steam reformer,$620$ million Btu$/$hr$,316ss,2,000,350],[2$ Methanol reactors,$\backslash$table$[[$Each with $4,000],[1\mathrm{.}5-$in$.$ o$.$d$.$ tubes by$],[30-$ft long on $2\mathrm{.}25-$in$.],[$triangular pitch$]],\backslash$table$[[$cs shell$],[316$ ss tubes$]],6,000,320],[\backslash$table$[[$Reformed gas centrifugal$],[$compressor$]],16,000kW,$cs$,6,000,200],[\backslash$table$[[$Recycle gas centrifugal$],[$compressor$]],5,000kW,$cs$,6,000,200],[$Tail$-$gas expander,$4,500kW,$cs$,6,000,200],[$Light ends tower,$3-$ft diameter,ss$,500,200],[$Finishing tower,$\backslash$table$[[60$ sieve trays$],[18-ft$ diameter$],[80$ sieve trays$]],$ss$,200,200]]$

Note: $ss=$ stainless steel, cs $=$ carbon steel