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A gasoline engine working on Otto cycle consumes 8 litres of gasoline per hour and develops 28 kW. The specific gravity of gasoline. is 0.75 and its calorific value is 44000 kJ/kg. The indicated thermal efficiency of the engine is
  • a)
    45%
  • b)
    46%
  • c)
    38%
  • d)
    34%
Correct answer is option 'C'. Can you explain this answer?
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A gasoline engine working on Otto cycle consumes 8 litres of gasoline ...
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A gasoline engine working on Otto cycle consumes 8 litres of gasoline ...
Given Data:
Gasoline consumption = 8 litres/hour
Developed power = 28 kW
Specific Gravity of gasoline = 0.75
Calorific value of gasoline = 44000 kJ/kg

Calculations:
1. Mass of gasoline consumed per hour
Mass of 1 litre gasoline = volume x density
= 1 x 0.75
= 0.75 kg
Mass of gasoline consumed per hour = 8 x 0.75
= 6 kg/hour

2. Heat energy produced by the engine per hour
Heat energy produced by the engine = Developed power x time
= 28 kW x 3600 s
= 100800 kJ/hour

3. Thermal efficiency of the engine
Thermal efficiency (η) = Output/Input
= Developed power/Heat energy produced by fuel
= (28 x 1000) / (6 x 44000)
= 0.38 or 38%

Therefore, the indicated thermal efficiency of the engine is 38% which is option (c).
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A gasoline engine working on Otto cycle consumes 8 litres of gasoline per hour and develops 28 kW. The specific gravity of gasoline. is 0.75 and its calorific value is 44000 kJ/kg. The indicated thermal efficiency of the engine isa)45%b)46%c)38%d)34%Correct answer is option 'C'. Can you explain this answer?
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