GATE BT 2021 • Q38 MCQ • 2 Marks

Section 1: Engineering Mathematics

Calculus

Subtopic: Fundamentals of Calculus

Question Statement:

Match separation methods in Group I with associated properties in Group Group I Group I P. Centrifugation 1. Density Q. Dialysis 2. Diffusivity R. Solvent extraction 3. Size S. Ultrafiltration 4. Solubility

Options:

  • (A) | P-4, Q-2, R-1, S-3
  • (B) P-3, Q-1, R-2, S-4
  • (C) P-1, Q-3, R-2, S-4
  • (D) P-1, Q-2, R-4, S-3

Official Answer Key:

D

Step-by-Step Solution & Explanation

### **Official Solution & Concept Analysis (GATE BT 2021 Q.38)** **1. Governing Concept**: - **Topic**: Downstream Processing & Bioseparation Principles - Matching separation operations with the underlying physical separation property: - **P. Centrifugation** $\rightarrow$ Separates particles based on difference in **density** (and size/shape) under centrifugal acceleration field $\rightarrow$ **1** - **Q. Dialysis** $\rightarrow$ Passive transport of solute across semipermeable membrane based on concentration gradient and **diffusivity** $\rightarrow$ **2** - **R. Solvent extraction** $\rightarrow$ Partitioning of solutes between two immiscible liquid phases based on differential **solubility** (partition coefficient $K$) $\rightarrow$ **4** - **S. Ultrafiltration** $\rightarrow$ Pressure-driven membrane separation governed by molecular weight cut-off (**size**) $\rightarrow$ **3** **2. Option Analysis**: - **Option (A) is INCORRECT**: Misidentifies centrifugation as solubility. - **Option (B) is INCORRECT**: Misidentifies centrifugation as size. - **Option (C) is INCORRECT**: Swaps dialysis and solvent extraction. - **Option (D) [P-1, Q-2, R-4, S-3] is CORRECT**: Direct correspondence between physical property and unit operation. **3. Final Answer**: - **Correct Choice**: **D**

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