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Nicotiana tabacum cells are cultured to high density for production of polysaccharide gum. The reactor used...

Nicotiana tabacum cells are cultured to high density for production of polysaccharide gum. The reactor used is a stirred tank that initially contains 100 litres of medium. The maximum specific growth rate of the culture is 0.18 day-1 and the yield of biomass from substrate is 0.5 g g-1. The concentration of growth-limiting substrate in the medium is 3% (w/v). The reactor is inoculated with 1.5 g L-1 of cells and operated in batch until
the substrate is virtually exhausted; medium flow is then started at a rate of 4 L day-1. The biomass concentration is 16.4 g L−1 after 13.3 days of batch operation. Fed-batch operation is carried out for 40 days under quasi-steady-state conditions after batch operation is done. Determine the final mass of cells after 40 days of fed-batch culture. 

from my understanding the answer is 4.4kg, no idea how to formulate the equation to get to that answer

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Answer #1

Answer: xo = 1.5gle = 15 x100 = 150g. So = 3% w/v 1. e) 39/100ml medium 8,30gle. Mman = 0.18 / day. t = 40days Yals = 6.5glg.

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