GATE ME 2020 Set 1 — Question 65
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Thermodynamics → IC Engines → Engine Performance Parameters
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Question
The indicated power developed by an engine with compression ratio of 8, is calculated using an air-standard Otto cycle (constant properties). The rate of heat addition is 10 kW. The ratio of specific heats at constant pressure and constant volume is 1.4. The mechanical efficiency of the engine is 80 percent.The brake power output of the engine is ______ kW (round off to one decimal place).
Correct answer
4.4 to 4.6
Solution
1.Calculate the air-standard efficiency of the Otto cycle:
The efficiency is given by:Given compression ratio and ratio of specific heats :
\eta_{otto} = 1 - \frac{1}{2.2974} \approx 1 - 0.4352 = 0.5648 \text{ (or 56.48%)}
2.Calculate the Indicated Power ():
Indicated power is the power developed inside the cylinder, calculated from the heat addition and cycle efficiency:3.Calculate the Brake Power ():
Brake power is the actual power available at the output shaft, related to indicated power by mechanical efficiency ():Given :
4.Final Answer:
Rounding to one decimal place, the brake power output is 4.5 kW.Continue learning with Success Tracker
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