Bioreactor types, scale-up

### **Official Solution & Step-by-Step Derivation (GATE BT 2022 Q.33)** **1. Governing Concept & Syllabus Classification**: - **Section**: BT - **Question Type**: **NAT** (1 Mark) - **Core Topic**: Bioprocess Engineering **2. Detailed Step-by-Step Analytical & Scientific Derivation**: - **Mathematical & Quantitative Formulation**: - Problem Statement: *"The specific growth rate of a yeast having a doubling time of 0.693 h (rounded off to nearest integer) is___________h-1...."* - Identifying governing bioprocess / mathematical relation: - In a continuous stirred tank bioreactor (chemostat) at steady state: $\mu = D = \frac{F}{V}$ where $\mu$ is the specific growth rate ($ ext{h}^{-1}$), $D$ is the dilution rate, $F$ is volumetric feed flow rate, and $V$ is working volume. $S = \frac{K_s D}{\mu_{max} - D}, \quad X = Y_{X/S}(S_0 - S)$ - **Calculated Quantitative Value**: **1 to 1**. **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **1 to 1** - **Scoring Criteria**: 1 Mark (Negative marking: -0.0 marks).