The following schematic diagram shows a chemostat with cell recycle
where F0 and Fr are the volumetric flow rates (in
1.Lh - ) of feed and recycle
streams, respectively. X1, X0 and X are the cell concentrations (in
1.gL - ) in the
reactor, recycle-stream and product-stream, respectively. If
0
10
1.5, 0.7rX F
XF== and
X1 is
17.3 .gL - , the value of X (in
1.gL - , rounded off to one decimal place)
is ___________.
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2023 Q.53)**
**1. Governing Concept & Domain**:
This question evaluates **Bioprocess Engineering** under *Section 4: Bioprocess Engineering & Process Biotechnology* (2 Marks, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Bioprocess Engineering})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
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