Q.3 The following parameters are given: Y=0.4 g cell/g substrate, Maximum sp. substrate utilization rate = 3.0 g substrate/g cell-day. Half velocity constant=25 g/m³. a) Consider a batch reactor in which the initial cell mass concentration is much greater than the substrate concentration. Additionally, the initial substrate concentration is much less than half velocity constant for a specific case when X=200 g/m3 initially, S=5 g/m3. Determine the time required to reduce the substrate to 10 % of its initial value. b) Consider a situation now where the initial substrate concentration (1000 g/m3) is much higher than the biomass concentration (100 g/m3). Determine the time required to reduce the substrate to 10% of its initial. c) Consider a continuous flow through the reactor now. The flow rate is 500 m3/day. Inlet cells are at 50 g/m3. The inlet substrate is 200 g/m3. Calculate reactor volume for 90 % removal efficiency.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Q.3 The following parameters are given: Y=0.4 g cell/g substrate, Maximum sp. substrate
utilization rate = 3.0 g substrate/g cell-day. Half velocity constant=25 g/m³.
a) Consider a batch reactor in which the initial cell mass concentration is much greater
than the substrate concentration. Additionally, the initial substrate concentration is much
less than half velocity constant for a specific case when X=200 g/m3 initially, S=5 g/m3.
Determine the time required to reduce the substrate to 10 % of its initial value.
b) Consider a situation now where the initial substrate concentration (1000 g/m3) is much
higher than the biomass concentration (100 g/m3). Determine the time required to reduce
the substrate to 10% of its initial.
c) Consider a continuous flow through the reactor now. The flow rate is 500 m3/day.
Inlet cells are at 50 g/m3. The inlet substrate is 200 g/m3. Calculate reactor volume for 90
% removal efficiency.
Transcribed Image Text:Q.3 The following parameters are given: Y=0.4 g cell/g substrate, Maximum sp. substrate utilization rate = 3.0 g substrate/g cell-day. Half velocity constant=25 g/m³. a) Consider a batch reactor in which the initial cell mass concentration is much greater than the substrate concentration. Additionally, the initial substrate concentration is much less than half velocity constant for a specific case when X=200 g/m3 initially, S=5 g/m3. Determine the time required to reduce the substrate to 10 % of its initial value. b) Consider a situation now where the initial substrate concentration (1000 g/m3) is much higher than the biomass concentration (100 g/m3). Determine the time required to reduce the substrate to 10% of its initial. c) Consider a continuous flow through the reactor now. The flow rate is 500 m3/day. Inlet cells are at 50 g/m3. The inlet substrate is 200 g/m3. Calculate reactor volume for 90 % removal efficiency.
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