GATE ME 2018 Set 2 — Question 65
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Thermodynamics → IC Engines → Engine Performance Parameters
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Question
A vehicle powered by a spark ignition engine follows air standard Otto cycle (). The engine generates 70 kW while consuming 10.3 kg/hr of fuel. The calorific value of fuel is 44,000 kJ/kg. The compression ratio is _______ (correct to two decimal places).
Correct answer
7.4 to 7.8
Solution
Given:
Power output, kW
Fuel consumption rate, kg/hr kg/s
Calorific value, kJ/kg
Ratio of specific heats, Step 1: Calculate the heat input rate ().Step 2: Calculate the thermal efficiency ().Step 3: Calculate the compression ratio () using the Otto cycle efficiency formula.Rounding to two decimal places, the compression ratio is 7.60. The official range is 7.40 to 7.80.
Power output, kW
Fuel consumption rate, kg/hr kg/s
Calorific value, kJ/kg
Ratio of specific heats, Step 1: Calculate the heat input rate ().Step 2: Calculate the thermal efficiency ().Step 3: Calculate the compression ratio () using the Otto cycle efficiency formula.Rounding to two decimal places, the compression ratio is 7.60. The official range is 7.40 to 7.80.
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