Biochemical Miscellaneous
Direction: During sterilization of a fermentation medium in a given bioreactor ∇heating = 12.56, ∇cooling = 7.48 and the total value of ∇ required for whole sterilization process is 52, where ∇ is the design criteria.
- What is the holding period (min) at a k value of 3.36 min–1?
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Given k value = 3.36 min–1
Holding value of design criteria, = 31.96
Therefore, time of holding, t = ∇holding / k
= 31.96 / 3.36 min = 9.512 min.Correct Option: B
Given k value = 3.36 min–1
Holding value of design criteria, = 31.96
Therefore, time of holding, t = ∇holding / k
= 31.96 / 3.36 min = 9.512 min.
- What is the value of ∇holding?
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Given, ∇heating = 12.56, ∇cooling = 7.48
Now we have, ∇total = ∇heating + ∇cooling + ∇holding
⇒ 52 = 12.56 + 7.48 + ∇holding
⇒ ∇holding = 31.96Correct Option: A
Given, ∇heating = 12.56, ∇cooling = 7.48
Now we have, ∇total = ∇heating + ∇cooling + ∇holding
⇒ 52 = 12.56 + 7.48 + ∇holding
⇒ ∇holding = 31.96
- A fed batch culture was operated with intermittent addition of glucose solution at a flow rate of 200 ml h–1. The values of Ks, µm and D are 0.3 g l–1, 0.4 h–1 and 0.1 h–1, respectively. Determine the concentration of growth limiting substrate (gl–1) in the reactor at quasi-steady state. _______
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Given, flow rate for the glucose solution, F = 200 mL/hr
KS = 0.3 g/L; µm = 0.4 h-1; D = 0.1 h-1
Therefore, Volume of the reactor, V = F / D = 200 / 0.1 mL = 2000 mL = 2L
We have, from Monod’s equation of substrate consumption µ = (µmax * S)/ (KS + S)
where, µ = rate of substrate consumed per unit time.
µmax = maximum rate of substrate consumed.
KS = Monod’s constant.
S = steady state substrate concentration.
In steady state, mass balance equation is given by :-
Input – Output – Consumption = 0 ⇒(F / V)*SR – µ = 0
⇒D(S) – {(µmax*S)/(KS + S)} = 0
Therefore, D(S) = {(µmax*S)/(KS + S)} = {(µmax*S)/(KS + S)}
= {(0.4S) / (0.3 + S)}
⇒ DS = 0.4S / (0.3 + S)
⇒ 0.1 = 0.4S / (0.3 + S)
⇒ 0.4S = 0.03 + 0.1S
⇒ 0.3S = 0.03
⇒ S = 0.1
Therefore, the concentration of the limiting substrate = 0.1 g/LCorrect Option: A
Given, flow rate for the glucose solution, F = 200 mL/hr
KS = 0.3 g/L; µm = 0.4 h-1; D = 0.1 h-1
Therefore, Volume of the reactor, V = F / D = 200 / 0.1 mL = 2000 mL = 2L
We have, from Monod’s equation of substrate consumption µ = (µmax * S)/ (KS + S)
where, µ = rate of substrate consumed per unit time.
µmax = maximum rate of substrate consumed.
KS = Monod’s constant.
S = steady state substrate concentration.
In steady state, mass balance equation is given by :-
Input – Output – Consumption = 0 ⇒(F / V)*SR – µ = 0
⇒D(S) – {(µmax*S)/(KS + S)} = 0
Therefore, D(S) = {(µmax*S)/(KS + S)} = {(µmax*S)/(KS + S)}
= {(0.4S) / (0.3 + S)}
⇒ DS = 0.4S / (0.3 + S)
⇒ 0.1 = 0.4S / (0.3 + S)
⇒ 0.4S = 0.03 + 0.1S
⇒ 0.3S = 0.03
⇒ S = 0.1
Therefore, the concentration of the limiting substrate = 0.1 g/L
- The maximum cell concentration (g l–1) expected in a bioreactor with initial cell concentration of 1.75 g l–1 and an initial glucose concentration of 125 g l–1 is (Yx/s = 0.6 g cell/g substrate)_______
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Given, Initial cell concentration, X = 1.75 g/L
Initial concentration of substrate glucose, S = 125 g/L
Given, Yield of biomass, YX/S = 0.6 g/g
Now, Concentration of biomass produced = YX/S × S = 125 × 0.6 g/L = 75 g/L
Therefore, maximum concentration of cell expected in the bioreactor = 75 + 1.75 g/L = 76.75 g/LCorrect Option: B
Given, Initial cell concentration, X = 1.75 g/L
Initial concentration of substrate glucose, S = 125 g/L
Given, Yield of biomass, YX/S = 0.6 g/g
Now, Concentration of biomass produced = YX/S × S = 125 × 0.6 g/L = 75 g/L
Therefore, maximum concentration of cell expected in the bioreactor = 75 + 1.75 g/L = 76.75 g/L
- In a batch culture, the specific rate of substrate utilization is 0.25 g (g cell mass)–1 h–1 and specific rate of product formation is 0.215 g (g cell mass)–1 h–1. Calculate the yield of product from the substrate (Yp/s). ______
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Given, for a batch culture
Specific rate of substrate utilization = 0.25 g/g/h
Specific rate of product formation = 0.215 g/g/h
Yield of product (YP/S) = 0.215/.25 = 0.86Correct Option: A
Given, for a batch culture
Specific rate of substrate utilization = 0.25 g/g/h
Specific rate of product formation = 0.215 g/g/h
Yield of product (YP/S) = 0.215/.25 = 0.86