Question #278439

A booster station compresses 50 kg/sec of methane from 14 atm, 285 K to 92 atm in a reversible and isothermal steady state steady-flow manner. Use the general ized fugacity coefficient chart (Item B 37) and calculate the compression work and the heat transfer. Now solve using ideal gas theory and compare answers.

1
Expert's answer
2021-12-13T17:06:04-0500

W=nRTlnP2P1W=nRTln\frac{P2}{P1}

n=16.0450n=\frac{16.04}{50}

=0.3208=0.3208

R=518.28

W=0.3208518.282859214W=0.3208*518.28*285*\frac{92}{14}

=311389.14J

=311.39kJ

Heat transfer=work

Heat transfer=311.39kJ


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