The amount of biomass in a reactor at the end of the batch process is 50 g. Fed-
batch operation is initiated by feeding the substrate solution at a constant rate of
1 L h -1. The concentration of substrate in the feed is 50 g L -1. The maximum
biomass yield (Yௌ
ெ) is 0.4
ୠ୧୭୫ୟୱୱ
ୱ୳ୠୱ୲୰ୟ୲ୣ. Assuming the system is at quasi-steady state,
the maximum amount of biomass after 5 h of feeding is _____________ g.
.59 An enzyme catalyzes the conversion of substrate A into product B. The rate
equation for this reaction is
5
A
A
A
Cr C mol L-1 min-1
Substrate A at an initial concentration of 10 mol L -1 enters an ideal mixed flow
reactor (MFR) at a flow rate of 10 L min-1. The volume of the MFR required for
50% conversion of substrate to product is ___________ L.
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2022 Q.58)**
**1. Governing Concept & Domain**:
This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (2 Marks, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Biochemistry, Microbiology & Molecular Biology})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
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