GATE ME 2014 Set 1 — Question 57
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Thermodynamics → IC Engines → Otto, Diesel & Dual Cycles
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Question
In an air-standard Otto cycle, air is supplied at MPa and K. The ratio of the specific heats () and the specific gas constant () of air are and J/kg.K, respectively. If the compression ratio is and the maximum temperature in the cycle is K, the heat (in kJ/kg) supplied to the engine is _______
Correct answer
1400 to 1420
Solution
Step 1: Identify the given parameters for the air-standard Otto cycle:
Using the relation :Step 3: Calculate the specific heat at constant volume ():
Using the relation :Step 4: Calculate the heat supplied during the constant volume heat addition process (Process 2-3):The calculated heat supplied is approximately kJ/kg, which falls within the official range of to .
- Initial pressure, MPa
- Initial temperature, K
- Compression ratio,
- Ratio of specific heats,
- Specific gas constant, J/kg.K kJ/kg.K
- Maximum temperature in the cycle, K
Using the relation :Step 3: Calculate the specific heat at constant volume ():
Using the relation :Step 4: Calculate the heat supplied during the constant volume heat addition process (Process 2-3):The calculated heat supplied is approximately kJ/kg, which falls within the official range of to .
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