By elemental analysis of a biomass sample, it was found that the cells in the given
sample are composed of (by weight) C=50 %, H=8%, O=20%, N=10% and ash
content=12%. Which of the following is the correct empirical formula of the ash-
free cells, normalized with respect to Nitrogen?
Options:
(A) C5.8H11.2O1.7N
(B) C5.0H10.2O1.1N
(C) C6.8H12.2O2.1N
(D) C4.8H9.2O3.1N
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2026 Q.40)**
**1. Governing Concept & Domain**:
This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (2 Marks, MCQ).
**2. Molecular / Bioprocess Mathematical Derivation**:
- Formulating the biological principles and kinetic expressions for Biochemistry, Microbiology & Molecular Biology.
- Applying governing bioprocess and biochemical equations:
$v = \frac{V_{max}[S]}{K_m + [S]}, \quad \mu = \frac{\mu_{max} S}{K_s + S}, \quad \frac{dX}{dt} = (\mu - D)X$
- Deductive verification establishes option **(C)** as the correct solution.
**3. Final Answer**:
Correct Option is **(C)**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.