A new microbrewery is starting up in Hamilton and require fermentation of their barley by microorganisms....

 

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A new microbrewery is starting up in Hamilton and require fermentation of their barley by microorganisms. The brewery is testing a variety of yeasts for the fermentation process which are added to a shaker flask containing 0.100 L of aqueous solution at 37°C. Air enters the flask through a porous stopper. The microorganisms are 0.667 µm in diameter and have a density of 1100 kg/m³. The solubility of O₂ from air in water at 37°C is 2.26 x 10-7 g mol O²/cm³ liquid or 2.26 × 10-4 kg mol O2/m³. The diffusion coefficient of O₂ in water at 37°C is 3.25 x 10⁹ m²/s. The density of water is 994 kg/m³ and the viscosity is 6.947 x 104 kg/m.s. a. Calculate the maximum rate, in kg mol O₂/s, at which oxygen will reach the surface of the microorganisms. Assume that the solution is saturated with air at 101.32 kPa abs pressure. b. By material balances on other nutrients, the actual utilization of O₂ by the microorganism is 6.30 x 10-6 kg mol O₂/s. What would be the actual concentration of O₂ in the solution as percent saturation during the fermentation? A new microbrewery is starting up in Hamilton and require fermentation of their barley by microorganisms. The brewery is testing a variety of yeasts for the fermentation process which are added to a shaker flask containing 0.100 L of aqueous solution at 37°C. Air enters the flask through a porous stopper. The microorganisms are 0.667 µm in diameter and have a density of 1100 kg/m³. The solubility of O₂ from air in water at 37°C is 2.26 x 10-7 g mol O²/cm³ liquid or 2.26 × 10-4 kg mol O2/m³. The diffusion coefficient of O₂ in water at 37°C is 3.25 x 10⁹ m²/s. The density of water is 994 kg/m³ and the viscosity is 6.947 x 104 kg/m.s. a. Calculate the maximum rate, in kg mol O₂/s, at which oxygen will reach the surface of the microorganisms. Assume that the solution is saturated with air at 101.32 kPa abs pressure. b. By material balances on other nutrients, the actual utilization of O₂ by the microorganism is 6.30 x 10-6 kg mol O₂/s. What would be the actual concentration of O₂ in the solution as percent saturation during the fermentation?

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a Calcul ate the maximum rate in kg mol O 2 s at which oxygen will reach the surface of the micro or... View the full answer