The ammonia gas (mw = 17 kg/kgmol) at 40 oC and 3 atm was transported at...

The ammonia gas (mw = 17 kg/kgmol) at 40 oC and 3 atm was transported at flowrate of 5 kg/h by an insulated pipeline having the total thickness of 2.0×10-3 m. The pressure and temperature of the ammonia gas suddenly drop to ambient temperature and pressure of 25 oC and 1 atm. A thorough investigation showed that the ammonia gas leaked to surrounding atmosphere through a pipeline wall cracking hole having an equivalent diameter of 3 mm.

a) State all the assumptions. Determine the mass rate of ammonia gas lost to surrounding atmosphere as well as the mass contamination rate of ammonia gas in the insulated pipeline by air (mw = 28.97 kg/kgmol).

b) Determine the mole fraction air in the pipeline. If repairing the pipeline required 5 hours, how much ammonia gas was lost from the incident.

Given: Ammonia-air diffusivity, DAB at 298.0 K is 2.8×10-5 m2 /s. The ammonia gas and air at those conditions could be assumed obeyed an ideal gas law. The universal gas constant, R is 8.205×10-2 m3 atm/kmol.K.

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