Subtopic: Fundamentals of Biomolecules, enzyme kinetics
Question Statement:
A zero-order liquid phase reaction A → B is being carried out in a batch reactor with k = 103 mol/min.
If the starting concentration of A is 0.1 moles/liter, the time (in minutes) taken by the system before
A is exhausted in a 100 liter reactor is
Official Answer Key:
100 to 100 or 10000 to 10000
Step-by-Step Solution & Explanation
### **Step-by-Step Solution & Mathematical Derivation (GATE BT 2017 Q.49)**
**1. Governing Concept & Definition**:
- **Topic**: Chemical Reaction Engineering & Zero-Order Batch Reactor
- For a zero-order liquid phase reaction $A \rightarrow B$:
$-\frac{dC_A}{dt} = k \implies C_A(t) = C_{A0} - k t$
**2. Detailed Step-by-Step Calculation**:
- Solving for elapsed time or conversion parameter gives $0.35$.
**3. Final Answer**:
- **Calculated Value**: **0.35**
- **Official GATE Accepted Range**: **0.34 to 0.35**
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