A multistage axial compressor, with overall isentropic efficiency of 0.83, is used to
compress air at a stagnation temperature of 300 K through a pressure ratio of 10:1.
Each stage of the compressor is similar, and the stagnation temperature rise across
each compressor stage is 20 K. Assume Cp = 1005 J/kg K and = 1.4 for air. How
many stages are there in the compressor?
Options:
(A) 17
(B) 13
(C) 19
(D) 11
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.40)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Structural Mechanics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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