GATE Exam > GATE Questions > The indicated power developed by an engine wi...
Start Learning for Free
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).
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 is '4.5'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The indicated power developed by an engine with compression ratio of 8...
BP = ηm × W = 0.8 × 5.647
= 4.5175 kW
Most Upvoted Answer
The indicated power developed by an engine with compression ratio of 8...
Given data:
- Compression ratio (r) = 8
- Rate of heat addition (Qin) = 10 kW
- Ratio of specific heats at constant pressure and constant volume (γ) = 1.4
- Mechanical efficiency (η) = 80%
Calculation:
Step 1: Calculate the heat input (Qin) to the engine:
The heat input to the engine can be calculated using the equation:
Qin = (1 - η) * Brake power output (Pb)
Given that η = 80% and Qin = 10 kW:
10 = (1 - 0.8) * Pb
Pb = 10 / 0.2
Pb = 50 kW
Step 2: Calculate the air-standard efficiency (ηth) of the engine:
The air-standard efficiency of the engine can be calculated using the equation:
ηth = 1 - (1 / r^(γ - 1))
Given that r = 8 and γ = 1.4:
ηth = 1 - (1 / 8^(1.4 - 1))
ηth = 1 - (1 / 8^0.4)
ηth = 1 - (1 / 2)
ηth = 0.5
Step 3: Calculate the indicated power (Pi) developed by the engine:
The indicated power developed by the engine can be calculated using the equation:
Pi = Qin / ηth
Given that Qin = 10 kW and ηth = 0.5:
Pi = 10 / 0.5
Pi = 20 kW
Step 4: Calculate the brake power (Pb) output of the engine:
The brake power output of the engine can be calculated using the equation:
Pb = Pi * η
Given that Pi = 20 kW and η = 80%:
Pb = 20 * 0.8
Pb = 16 kW
Final calculation:
Since the brake power output (Pb) is given as 16 kW, which is not equal to the correct answer of 4.5 kW, there seems to be an error in the given data or the calculations. Please recheck the data and calculations.
- Compression ratio (r) = 8
- Rate of heat addition (Qin) = 10 kW
- Ratio of specific heats at constant pressure and constant volume (γ) = 1.4
- Mechanical efficiency (η) = 80%
Calculation:
Step 1: Calculate the heat input (Qin) to the engine:
The heat input to the engine can be calculated using the equation:
Qin = (1 - η) * Brake power output (Pb)
Given that η = 80% and Qin = 10 kW:
10 = (1 - 0.8) * Pb
Pb = 10 / 0.2
Pb = 50 kW
Step 2: Calculate the air-standard efficiency (ηth) of the engine:
The air-standard efficiency of the engine can be calculated using the equation:
ηth = 1 - (1 / r^(γ - 1))
Given that r = 8 and γ = 1.4:
ηth = 1 - (1 / 8^(1.4 - 1))
ηth = 1 - (1 / 8^0.4)
ηth = 1 - (1 / 2)
ηth = 0.5
Step 3: Calculate the indicated power (Pi) developed by the engine:
The indicated power developed by the engine can be calculated using the equation:
Pi = Qin / ηth
Given that Qin = 10 kW and ηth = 0.5:
Pi = 10 / 0.5
Pi = 20 kW
Step 4: Calculate the brake power (Pb) output of the engine:
The brake power output of the engine can be calculated using the equation:
Pb = Pi * η
Given that Pi = 20 kW and η = 80%:
Pb = 20 * 0.8
Pb = 16 kW
Final calculation:
Since the brake power output (Pb) is given as 16 kW, which is not equal to the correct answer of 4.5 kW, there seems to be an error in the given data or the calculations. Please recheck the data and calculations.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
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 is '4.5'. Can you explain this answer?
Question Description
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 is '4.5'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about 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 is '4.5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 is '4.5'. Can you explain this answer?.
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 is '4.5'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about 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 is '4.5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 is '4.5'. Can you explain this answer?.
Solutions for 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 is '4.5'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of 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 is '4.5'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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 is '4.5'. Can you explain this answer?, a detailed solution for 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 is '4.5'. Can you explain this answer? has been provided alongside types of 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 is '4.5'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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 is '4.5'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup