Question: A fermentation process produces a 100 kg/h gas stream (bio gas) of composition 60% methane(CH4) and 40% carbon dioxide (CO2).
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Question: A fermentation process produces a 100 kg/h gas stream (bio gas) of composition 60% methane(CH4) and 40%

carbon dioxide (CO2). [M methane = 16, M carbon dioxide =44]


The 100 kg/h gas stream is fed under slight vacuum to a boiler to ex tract heating value. A leak develops and air (77% N2 and 23% O2) enter s and mixes with the bio gas. We believe the gas will become flammable if the oxygen content exceeds 5% in the mixture. Answer the following questions to determine the maximum leak rate before a safety hazard develops.


1) Find the average molecular weight of the gas stream before the leak takes place


2) Draw out and label a process flow diagram for the mixing process.


3) For the system described above, get how many independent mass balances can be written


4) Find mass balance equations for methane, oxygen and the total mass.


5) Calculate the maximum leak rate of air that can enter the piping without the oxygen content of the mixture exceeding 5%

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