Subtopic: Fundamentals of Biomolecules, enzyme kinetics
Question Statement:
The diameters of a large and a small vessel are 1.62 m and 16.2 cm, respectively. The vessels are
geometrically similar and operated under similar volumetric agitated power input. The mixing time
in the small vessel was found to be 15 s. Determine the mixing time (in seconds) in the large vessel.
Options:
(A) 15
(B) 30
(C) 61
(D) 122
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2015 Q.51)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: BT
- **Question Type**: **MCQ** (2 Marks)
- **Core Topic**: Biochemistry, Microbiology & Molecular Biology
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"The diameters of a large and a small vessel are 1.62 m and 16.2 cm, respectively. The vessels are
geometrically similar and operated under similar volumetric agitated power input. The mixing time
in the small vessel was ..."*
- **Option (C) [CORRECT]**: *"61"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"15"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"30"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"122
Options :
1.
2. * B
3. 0 C
4. 8
D"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **C**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).
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