A production fermenter has a diameter of 3.66 m and a total liquid volume of 114 m3 . At 1atm, the saturation value of dissolved oxygen is 7 mg l-1 and the variation in oxygendissolution is observed to obey Henry’s law. When oxygen is consumed, 95% is respired ascarbon dioxide and the oxygen transfer rate for this fermentation process is 2 g l-1 h-1 . Thefermenter is operated at a gauge backpressure of 0.68 bar ( i.e. the fermenter is operating at1.68 bara)(a) Assuming 100% oxygen utilisation, calculate the minimum air flow rate required onan STP basis (0°C; 1 bar pressure)
Question
A production fermenter has a diameter of 3.66 m and a total liquid volume of 114 m3 . At 1atm, the saturation value of dissolved oxygen is 7 mg l-1 and the variation in oxygendissolution is observed to obey Henry’s law. When oxygen is consumed, 95% is respired ascarbon dioxide and the oxygen transfer rate for this fermentation process is 2 g l-1 h-1 . Thefermenter is operated at a gauge backpressure of 0.68 bar ( i.e. the fermenter is operating at1.68 bara)(a) Assuming 100% oxygen utilisation, calculate the minimum air flow rate required onan STP basis (0°C; 1 bar pressure)
Solution
To calculate the minimum air flow rate required, we need to follow these steps:
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Convert the oxygen transfer rate from g/L/h to mg/L/h: 2 g/L/h = 2000 mg/L/h.
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Calculate the total amount of oxygen consumed per hour: 2000 mg/L/h * 114 m^3 = 228,000,000 mg/h.
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Calculate the amount of oxygen in the air at STP (Standard Temperature and Pressure): 7 mg/L * 1.68 (bara) = 11.76 mg/L.
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Calculate the volume of air needed per hour: 228,000,000 mg/h / 11.76 mg/L = 19,387,755 L/h.
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Convert the volume of air needed per hour to m^3/h: 19,387,755 L/h / 1000 = 19,388 m^3/h.
So, the minimum air flow rate required on an STP basis is 19,388 m^3/h.
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