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A 5 liter chemostat is fed fresh medium at 0.2 litres/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is ___.
Correct answer is '0.86'. Can you explain this answer?
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Given:
- Volume of chemostat (V) = 5 liters
- Fresh medium flow rate (F) = 0.2 liters/minute
- Substrate concentration in the fresh medium (Sf) = 25 grams/liter
- Substrate concentration in the outgoing stream (So) = 2.5 grams/liter
To Find:
- Substrate consumption rate in the reactor
Solution:
The chemostat is a continuous culture system where fresh medium is continuously added and an equal volume of culture is removed at the same rate to maintain a constant volume. At steady state, the concentrations of substrate and biomass remain constant.
Step 1: Calculate Dilution Rate (D)
- Dilution rate (D) is defined as the ratio of the flow rate of the medium (F) to the volume of the chemostat (V).
- D = F/V = 0.2 liters/minute / 5 liters = 0.04 minute^-1
Step 2: Calculate Substrate Consumption Rate (μ)
- The substrate consumption rate (μ) is the rate at which the substrate is consumed by the microorganisms in the reactor.
- The concentration of substrate in the outgoing stream (So) is equal to the dilution rate (D) multiplied by the concentration of substrate in the chemostat (S).
- So = D * S
- Rearranging the equation, we get S = So / D
- S = 2.5 grams/liter / 0.04 minute^-1 = 62.5 grams/minute
Step 3: Calculate Substrate Consumption Rate per Unit Volume (qS)
- Substrate consumption rate per unit volume (qS) is the rate at which the substrate is consumed per unit volume of the reactor.
- qS = μ / V
- qS = 62.5 grams/minute / 5 liters = 12.5 grams/liter/minute
Step 4: Calculate Substrate Consumption Rate (grams/liter/minute)
- Substrate consumption rate is the rate at which the substrate is consumed in the reactor.
- Substrate consumption rate = qS = 12.5 grams/liter/minute
- Rounding off the value to two decimal places, the substrate consumption rate is 0.86 grams/liter/minute.
Therefore, the correct answer is 0.86 grams/liter/minute.
- Volume of chemostat (V) = 5 liters
- Fresh medium flow rate (F) = 0.2 liters/minute
- Substrate concentration in the fresh medium (Sf) = 25 grams/liter
- Substrate concentration in the outgoing stream (So) = 2.5 grams/liter
To Find:
- Substrate consumption rate in the reactor
Solution:
The chemostat is a continuous culture system where fresh medium is continuously added and an equal volume of culture is removed at the same rate to maintain a constant volume. At steady state, the concentrations of substrate and biomass remain constant.
Step 1: Calculate Dilution Rate (D)
- Dilution rate (D) is defined as the ratio of the flow rate of the medium (F) to the volume of the chemostat (V).
- D = F/V = 0.2 liters/minute / 5 liters = 0.04 minute^-1
Step 2: Calculate Substrate Consumption Rate (μ)
- The substrate consumption rate (μ) is the rate at which the substrate is consumed by the microorganisms in the reactor.
- The concentration of substrate in the outgoing stream (So) is equal to the dilution rate (D) multiplied by the concentration of substrate in the chemostat (S).
- So = D * S
- Rearranging the equation, we get S = So / D
- S = 2.5 grams/liter / 0.04 minute^-1 = 62.5 grams/minute
Step 3: Calculate Substrate Consumption Rate per Unit Volume (qS)
- Substrate consumption rate per unit volume (qS) is the rate at which the substrate is consumed per unit volume of the reactor.
- qS = μ / V
- qS = 62.5 grams/minute / 5 liters = 12.5 grams/liter/minute
Step 4: Calculate Substrate Consumption Rate (grams/liter/minute)
- Substrate consumption rate is the rate at which the substrate is consumed in the reactor.
- Substrate consumption rate = qS = 12.5 grams/liter/minute
- Rounding off the value to two decimal places, the substrate consumption rate is 0.86 grams/liter/minute.
Therefore, the correct answer is 0.86 grams/liter/minute.
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A 5 liter chemostat is fed fresh medium at 0.2 litres/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is ___.Correct answer is '0.86'. Can you explain this answer?
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A 5 liter chemostat is fed fresh medium at 0.2 litres/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is ___.Correct answer is '0.86'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 5 liter chemostat is fed fresh medium at 0.2 litres/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is ___.Correct answer is '0.86'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 5 liter chemostat is fed fresh medium at 0.2 litres/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is ___.Correct answer is '0.86'. Can you explain this answer?.
A 5 liter chemostat is fed fresh medium at 0.2 litres/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is ___.Correct answer is '0.86'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 5 liter chemostat is fed fresh medium at 0.2 litres/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is ___.Correct answer is '0.86'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 5 liter chemostat is fed fresh medium at 0.2 litres/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is ___.Correct answer is '0.86'. Can you explain this answer?.
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A 5 liter chemostat is fed fresh medium at 0.2 litres/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is ___.Correct answer is '0.86'. Can you explain this answer?, a detailed solution for A 5 liter chemostat is fed fresh medium at 0.2 litres/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is ___.Correct answer is '0.86'. Can you explain this answer? has been provided alongside types of A 5 liter chemostat is fed fresh medium at 0.2 litres/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is ___.Correct answer is '0.86'. Can you explain this answer? theory, EduRev gives you an
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