GATE BT 2020 • Q65 NAT • 2 Marks

General Aptitude

Quantitative Aptitude

Subtopic: Data Interpretation

Question Statement:

The mitochondrial electron transfer chain oxidizes NADH with oxygen being the terminal electron acceptor. The redox potentials for the two half-reactions are given below: NAD+ + H+ + 2e* → NADH, E°' = -0.32V 202 + 2H* + 2e → H20, ° = 0.816V The free energy change associated with the transfer of electrons from NADH to O2 is kJ/mol (round off to 2 decimal places). Given: F = 96500 C/mol. Copyright : GATE 2020, IIT Delhi GATE 2020 IIT Delhi Home Information Brochure GATE International Pre Examination Important Dates FAQS Contact Us Answer Key - BT: Biotechnology Q.No. Que. Type Sec. Name Key MCQ MCQ B 3 4 MCQ D MCQ 5 MCQ B MCQ D MCQ 8 MCQ MCQ 10 MCQ MCQ MCQ MCQ OR D MCQ MCQ MCQ MCQ MCQ MCO MCQ 11 MCO 12 MCQ 13 MCQ 14 MCO 15 MCQ 00010u no to seE 115 2 to 2 51.01 to 52.99 20 60 to 60 5.99 to 6.05 2 to 2 3 to 3

Official Answer Key:

-219.30 to -219.20

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2020 Q.65)** **1. Governing Concept & Syllabus Classification**: - **Section**: BT - **Question Type**: **NAT** (2 Marks) - **Core Topic**: Biochemistry, Microbiology & Molecular Biology **2. Detailed Step-by-Step Analytical & Scientific Derivation**: - **Mathematical & Quantitative Formulation**: - Problem Statement: *"The mitochondrial electron transfer chain oxidizes NADH with oxygen being the terminal electron acceptor. The redox potentials for the two half-reactions are given below: NAD+ + H+ + 2e* → NADH, E°' = -0.32V 202 + 2H* + ..."* - Identifying governing bioprocess / mathematical relation: - Evaluating volumetric mass transfer rate for oxygen in aerobic fermentation: $\text{OTR} = k_L a (C^* - C_L)$ where $k_L a$ is volumetric mass transfer coefficient, $C^*$ is equilibrium saturation dissolved oxygen concentration, and $C_L$ is actual bulk liquid concentration. - **Calculated Quantitative Value**: **-219.30 to -219.20**. **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **-219.30 to -219.20** - **Scoring Criteria**: 2 Marks (Negative marking: -0.0 marks).

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