Class 11 Exam > Class 11 Questions > How much heat energy a petrol engine would re...
Start Learning for Free
How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.
- a)10.7 J
- b)30 J
- c)1.07 X107 J
- d)180 J
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
How much heat energy a petrol engine would require to do 20 kWh of wor...
Free Test
FREE
| Start Free Test |
Community Answer
How much heat energy a petrol engine would require to do 20 kWh of wor...
The fuel's calorific value is 44 MJ/kg.
To calculate the amount of heat energy required, we can use the equation:
Heat energy = Work done / Efficiency
First, we need to calculate the efficiency of the engine. We can use the formula:
Efficiency = 1 - (1 / compression ratio)^((gamma - 1) / gamma)
where gamma is the specific heat ratio of the engine. For a petrol engine, gamma is typically around 1.4.
So, plugging in the values, we get:
Efficiency = 1 - (1 / 9)^(0.4) = 0.576
Now we can calculate the amount of heat energy required:
Heat energy = 20 kWh / 0.576 = 34.72 kWh
To convert this to joules, we multiply by 3,600,000 (1 kWh = 3,600,000 J):
Heat energy = 125,001,600 J
Finally, we can calculate the mass of fuel required using its calorific value:
Mass of fuel = Heat energy / Calorific value
Mass of fuel = 125,001,600 J / 44 MJ/kg = 2.84 kg
Therefore, a petrol engine with an adiabatic compression ratio of 9 would require approximately 2.84 kg of fuel to do 20 kWh of work.
To calculate the amount of heat energy required, we can use the equation:
Heat energy = Work done / Efficiency
First, we need to calculate the efficiency of the engine. We can use the formula:
Efficiency = 1 - (1 / compression ratio)^((gamma - 1) / gamma)
where gamma is the specific heat ratio of the engine. For a petrol engine, gamma is typically around 1.4.
So, plugging in the values, we get:
Efficiency = 1 - (1 / 9)^(0.4) = 0.576
Now we can calculate the amount of heat energy required:
Heat energy = 20 kWh / 0.576 = 34.72 kWh
To convert this to joules, we multiply by 3,600,000 (1 kWh = 3,600,000 J):
Heat energy = 125,001,600 J
Finally, we can calculate the mass of fuel required using its calorific value:
Mass of fuel = Heat energy / Calorific value
Mass of fuel = 125,001,600 J / 44 MJ/kg = 2.84 kg
Therefore, a petrol engine with an adiabatic compression ratio of 9 would require approximately 2.84 kg of fuel to do 20 kWh of work.
|
Explore Courses for Class 11 exam
|
|
Top Courses for Class 11View all
Question Description
How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer?.
How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer?.
Solutions for How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice How much heat energy a petrol engine would require to do 20 kWh of work? Its adiabatic compression ratio is 9 and γ= 1.5.a)10.7 Jb)30 Jc)1.07 X107Jd)180 JCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup