Question: Consider a J-T cycle for methane liquefaction, as shown below. The methane enters the heat exchanger at 80oF and 1500 psia and expands to 14.7

Consider a J-T cycle for methane liquefaction, as shown below. The methane enters the heat exchanger at 80oF and 1500 psia and expands to 14.7 psia. a. Calculate the fraction of methane entering the system that is liquefied using an ideal a heat exchanger (no warm end T and no pressure drop) and assuming no heat leak (qL= 0) b. Estimate the % decrease in production if a heat leak of 15 Btu/lb of methane entering is present, and if a temperature approach of 5oF is obtained at the warm end of the exchanger. c. Calculate the fraction liquefied if the pressure outlet at the compressor is 2000 psia (instead of 1500 psia).

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