GATE_AE_2027_MOCK_05_Q30 GATE 2027 Aerospace Engineering All-India Master Mock 05 (High-Yield Comprehensive Grand Finale) NAT · 1 Mark
Propulsion • Rocket Propulsion • Rocket Thrust, Specific Impulse & Characteristic Velocity

A rocket engine produces thrust F = 100 kN at a propellant mass flow rate \dot{m} = 40 kg/s. If standard gravity g_0 = 9.81 m/s^2, what is the specific impulse I_{sp} in seconds? (Round to one decimal place).

Answer Key:
254.8

Step-by-Step Verified Solution

### Solution: I_{sp} = F / (\dot{m} * g_0) = 100000 / (40 * 9.81) = 2500 / 9.81 ≈ 254.84 ≈ 254.8 s. Correct: 254.8 (range 253.5 to 256.0).
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