It is desired to cultivate 150 mg (dry weight) microbial cells with an empirical
formula of C 5H7O2N. If the phosphorus requirement for the cells is 20% of the
nitrogen requirement (on a weight/weight basis), the minimum amount of
phosphorous required to be added to the cultivation medium is ________ mg.
(rounded off to one decimal place)
0
1
2
3
4
0 1 2 3
x
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2026 Q.62)**
**1. Governing Concept & Domain**:
This question evaluates **Cellular & Applied Biotechnology** under *Section 5: Plant, Animal & Microbial Biotechnology* (2 Marks, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Cellular & Applied Biotechnology})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
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