GATE AE 2025 • Q33 MCQ • 1 Mark

Propulsion

Air-Breathing & Rocket Propulsion

Subtopic: Engine Thermodynamic Cycles

Question Statement:

A gaseous fuel mixture comprising 3 moles of methane and 2 moles of ammonia is combusted in X moles of pure oxygen in stoichiometric amount. Assuming complete combustion, with only CO2, H2O and N2 in the product gases, the value of X is ___. 3 CH4 + 2 NH3 + X O2 → Products (CO2, H2O, N2)

Options:

  • (A) 7.5
  • (B) 5.5
  • (C) 8.5
  • (D) 9.5

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.33)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Air-Breathing & Rocket Propulsion** under *Propulsion* (1 Mark, MCQ). **2. Aerospace Engineering Deduction**: - Applying standard governing principles of Air-Breathing & Rocket Propulsion. - Option **(A)** matches the analytical derivation and official criteria. **3. Final Answer**: Correct Option is **(A)**.

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