It is desired to produce liquefied natural gas (LNG), which weconsider to be pure methane, from that gas at 1 bar and 280 K(conditions “1†in the Linde process of the diagram). Leaving thecooler (“enfriadorâ€) methane is at 100 bar and 210 K. The flashdrum (“separadorâ€) is adiabatic and operates at 1 bar. The recycledmethane leaving the heat exchanger is at 1 bar and 200 K. Thecompressor can be assumed to operate reversibly and adiabatically.However, because of the large pressure change, a three-stagecompressor with intercooling is used. The first stage compressesthe gas from 1 bar to 5 bar, the second stage from 5 bar to 25 bar,and the third stage from 25 bar to 100 bar. Between stages the gasis isobarically cooled to 280 K.
(a)For each point in the Linde diagram write the conditions youknow, and find the corresponding points in the H-P diagram formethane.
(b)Calculate the fractions of vapor and liquid leaving the flashdrum.
(c)Calculate the amount of compressor work required for each kgof LNG produced.
