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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?
    Verified Answer
    The indicated power developed by an engine with compression ratio of 8...



    BP = ηm × W = 0.8 × 5.647
    = 4.5175 kW
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    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.
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    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?
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    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?.
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