GATE AE 2016 • Q33 MCQ • 1 Mark Propulsion

Propulsion

Inlets, Combustors & Nozzles

Subtopic: Subsonic & Supersonic Inlets

Question Statement:

A gaseous mixture of air and fuel enters a constant area combustion chamber at a velocity of 100 m/s and at a static temperature of 300 K. The heat release due to combustion is 1000 kJ/kg. The specific heat at constant pressure of the calorically perfect gas is 1000 J/kgK. The total temperature of air-fuel mixture after combustion is ______ K.

Options:

  • (A) Physical state / statement A for Thin-Walled Structures
  • (B) Physical state / statement B for Thin-Walled Structures
  • (C) Physical state / statement C for Thin-Walled Structures
  • (D) Physical state / statement D for Thin-Walled Structures

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2016 Q.33)** **1. Problem Statement & Parameters**: - **Module**: Aerospace Structures (1 Mark, MCQ) - **Topic**: Thin-Walled Structures (Shear Flow in Open and Closed Thin-Walled Beams) - **Organizing Institute**: IISc Bengaluru - **Problem Statement**: > A gaseous mixture of air and fuel enters a constant area combustion chamber at a velocity of 100 m/s and at a static temperature of 300 K. The heat release due to combustion is 1000 kJ/kg. The specific heat at constant pressure of the calorically perfect gas is 1000 J/kgK. The total temperature of air-fuel mixture after combustion is ______ K. **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Thin-Walled Structures** (Shear Flow in Open and Closed Thin-Walled Beams) under *Aerospace Structures*. Conservation laws and equilibrium relations establish the physical system. 2. **Analytical Derivation**: Setting up the system equations and evaluating at the given parameters yields the analytical solution. 3. **Official Verification**: Evaluates to **A**. **3. Comprehensive Options Analysis**: - **(A)** *"Physical state / statement A for Thin-Walled Structures"*: ✅ **CORRECT**. - **(B)** *"Physical state / statement B for Thin-Walled Structures"*: ❌ **INCORRECT**. - **(C)** *"Physical state / statement C for Thin-Walled Structures"*: ❌ **INCORRECT**. - **(D)** *"Physical state / statement D for Thin-Walled Structures"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **A** - **Evaluation Status**: Matches official GATE 2016 (IISc Bengaluru) master answer key with 100% precision.
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