You are planning to run a fermentor to produce antibiotics from fungi, using a broth that...

 

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You are planning to run a fermentor to produce antibiotics from fungi, using a broth that contains 25 wt% glucose, 6 wt% phosphate, 6 wt% nitrate, and water. At 8 am, the fermentor is filled with 5000 g broth and some antibiotic- producing fungi. Over the next several hours, additional broth of the same composition is added to the fermentor at a steady rate of 200 g/h. The cells consume glucose at a rate of 35 g/h, phosphates at a rate of 13 g/h, and nitrates at a rate of 12 g/h. The fermentation is stopped when the concentration of one of these three nutrients goes to zero, because the cells can no longer survive. Which nutrient is depleted first? At what time? What is the concentration (g/g broth) of the other two nutrients when the fermentation is stopped? Draw a flow diagram and use the integral mass balance equation to solve this problem. You are planning to run a fermentor to produce antibiotics from fungi, using a broth that contains 25 wt% glucose, 6 wt% phosphate, 6 wt% nitrate, and water. At 8 am, the fermentor is filled with 5000 g broth and some antibiotic- producing fungi. Over the next several hours, additional broth of the same composition is added to the fermentor at a steady rate of 200 g/h. The cells consume glucose at a rate of 35 g/h, phosphates at a rate of 13 g/h, and nitrates at a rate of 12 g/h. The fermentation is stopped when the concentration of one of these three nutrients goes to zero, because the cells can no longer survive. Which nutrient is depleted first? At what time? What is the concentration (g/g broth) of the other two nutrients when the fermentation is stopped? Draw a flow diagram and use the integral mass balance equation to solve this problem.