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Bioprocess GATE Question

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A microorganism grows in a continuous ‘chemostat’ culture of 60 m3 working volume with sucrose as the growth limiting nutrient at dilution rate, D = 0.55 h–1. The steady state biomass concentration is 4.5 kg dry biomass m–3 and the residual sucrose concentration in the incoming feed medium is 10.0 kg m–3.
What would be the sucrose concentration in the input feed for the output to be 45 Kg biomass h–1?

 3.225 Kg m–3

 4.425 Kg m–3

 5.115 Kg m–3

 6.525 Kg m–3

Can u plz help me out wid this numerical

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